Helge Holden

About

Activities:

[List of publications] I am the President-elect of the European Mathematical Society. Furthermore, I am a co-PI on the project IMod – Partial differential equations, statistics and data:
An interdisciplinary approach to data-based modelling. Previously, I was the Principal Investigator of the research project ("Toppforsk") Waves and Nonlinear Phenomena (WaNP). I was the Secretary General of the International Mathematical Union (IMU) for the period 2015–2022, and I was the chair of the prize committee for the Abel Prize for the period 2023–2026.

On the occasion of my 60th anniversary in 2016 the conference Non-linear PDEs, mathematical physics, and stochastic analysis was hosted here at NTNU. See proceedings Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, European Mathematical Society Publishing House.

Research areas:

Differential equations, mathematical physics; in particular hyperbolic conservation laws and completely integrable systems. Stochastic analysis and flow in porous media.

Teaching:

Fall 2025: TMA4225 Foundations of Analysis

Spring 2026: TMA4411: Matematikk 2B

Publications

2026

Holden, Helge. (2026) You Can Nominate the Next Abel Laureate!. The Mathematical intelligencer
Academic article

2025

Holden, Helge; Reichelt, Yngvar. (2025) Det Kongelige Norske Videnskabers Selskab gjennom medaljeutgivelser og tildelinger.
Popular science chapter
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh. (2025) Error estimates for systems of nonlocal balance laws modelling dense multilane vehicular traffic. Nonlinearity
Academic article
Ehrnstrom, Mats; Holden, Helge; Jakobsen, Espen Robstad. (2025) Partial Differential Equations: Waves, Nonlinearities and Nonlocalities: The Abel Symposium 2023. Springer Publishing Company
Anthology
Holden, Helge. (2025) Årets Abelprisvinner utvikler matematikk som kan komme til nytte – i fremtiden. Forskning.no
Popular science article
Holden, Helge. (2025) Forskningsfond – hvor realistisk er det?. www.universitetsavisa.no
Commentary
Holden, Helge. (2025) Hvor mye skal vi forske?. www.universitetsavisa.no
Commentary
Holden, Helge. (2025) Ti råd til unge forskere. www.universitetsavisa.no
Commentary
Holden, Helge; Munthe-Kaas, Hans Zanna; Olsen, Dag Rune; Riener, Cordian Benedikt. (2025) Norge trenger et løft for matematikk på høyt nivå. Nordnorsk debatt - Nordlys
Commentary
Holden, Helge; Holden, Lars. (2025) Optimal rebalancing strategies reduce market variability. The Journal of Finance and Data Science
Academic article

2024

Holden, Helge; Piene, Ragni. (2024) The Abel Prize 2018-2022. Springer Publishing Company
Anthology
Holden, Helge. (2024) Åremål og retrett. Universitetsavisa
Commentary
Holden, Helge. (2024) Misvisende om Isaac Newton. Forskningspolitikk
Commentary
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh Kiran. (2024) Well-posedness and error estimates for coupled systems of nonlocal conservation laws. IMA Journal of Numerical Analysis
Academic article
Holden, Helge. (2024) Eksportkontroll – trenger vi det?. Universitetsavisa
Commentary
Holden, Helge. (2024) Kunstig intelligens revolusjonerer matematikken. https://forskning.no/
Commentary
Holden, Helge. (2024) Drømmen om toget. Universitetsavisa
Commentary
Holden, Helge. (2024) Ulykker på hjemmekontoret – ditt ansvar?. Universitetsavisa
Commentary
Hanche-Olsen, Harald; Holden, Helge. (2024) The Aubin-Lions-Dubinskii theorems on compactness in Bochner spaces. Pure and Applied Functional Analysis
Academic article
Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2024) Global existence of dissipative solutions to the Camassa–Holm equation with transport noise. Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik. (2024) The continuum limit of non-local Follow-the-Leader models. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
Academic article
Holden, Helge. (2024) Hva har vi lært, og hva må vi gjøre?. Universitetsavisa
Commentary

2023

Holden, Helge; Phu, Hoang Xuan; Ponce, Gustavo; Vega, Luis. (2023) A master in harmony and differential equations. A tribute to Carlos E. Kenig on his 70th birthday. Vietnam Journal of Mathematics
Popular science article
Holden, Helge. (2023) ICM 2022: The first virtual ICM. European Mathematical Society Magazine
Commentary
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh Kiran. (2023) On the accuracy of the finite volume approximations to nonlocal conservation laws. Numerische Mathematik
Academic article
Holden, Helge. (2023) Et "ERC grant" --- den hellige gral for forskere. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Hvordan skal universitetene finansieres?. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Åpen tilgang – hvorfor er det så vanskelig?. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Bør Forskningsrådet utføre fagevalueringer?. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) En matematikkprofessor leser Cormac McCarthys "Passasjeren" og "Stella Maris". www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Er det mer å utforske?. www.universitetsavisa.no
Commentary
Siegmund-Schultze, Reinhard; Holden, Helge. (2023) Luis A. Caffarelli. Store Norske Leksikon (Nettutgaven)
Popular science article

2022

Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications
Academic article
Holden, Helge. (2022) Status Report for the IMU.
Non-fiction chapter
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A
Academic article
Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences
Academic article
Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry. Measurement Science Review
Academic article
Holden, Helge. (2022) Forskernes hverdag. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Dette skal vi forske på det neste tiåret. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Matematik og krig. Weekendavisen
Commentary
Holden, Helge. (2022) Rangering av forskere. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Faste midlertidige – en gordisk knute. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Forskningsrådet i fritt fall. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Hva gjør vi etter krigen i Ukraina?. www.universitetsavisa.no
Commentary
Carrillo, José A.; Holden, Helge; Solem, Susanne. (2022) Noise-driven bifurcations in a neural field system modelling networks of grid cells. Journal of Mathematical Biology
Academic article

2021

Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity
Academic article
Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. EMS Press
Anthology
Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no
Commentary
Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow. SIAM News
Popular science article
Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der?. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no
Commentary
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Reply to Best and Ashby: The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution. Proceedings of the National Academy of Sciences of the United States of America (PNAS)
Commentary
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model. Proceedings of the National Academy of Sciences of the United States of America (PNAS)
Academic article
Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations
Academic article
Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no
Commentary

2020

Carrillo, José Antonio; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
Academic article
Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) Kallelse - ikke gjør det. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) Ytringsfrihet - hvor går grensen?. www.universitetsavisa.no
Commentary
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society
Popular science article
Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no
Commentary
Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis

2019

Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature
Anthology
Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis
Academic article
Carrillo, Jose Antonio; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
Academic article
Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Campussamling til besvær. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Hvor skal vi gjøre av bilene?. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover. www.universitetsavisa.no
Commentary
Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas; Møyner, Olav; Raynaud, Xavier; Holden, Helge. (2019) Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis

2018

Holden, Helge; Risebro, Nils Henrik. (2018) Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media
Academic article
Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A
Academic article
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae
Academic article
Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System.
Academic chapter

2017

Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald. (2017) Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy. Annales de l'Institut Fourier
Academic article
Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications.
Academic chapter
Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.)
Commentary

2016

Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae
Academic article
Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv
Commentary
Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications
Academic article
Møyner, Olav; Holden, Helge; Lie, Knut-Andreas; Natvig, Jostein Roald. (2016) Next Generation Multiscale Methods for Reservoir Simulation. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk
Commentary
Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports
Conference abstract
Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory
Academic article
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations
Academic article
Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv
Commentary
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article

2015

Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.
Academic monograph

2014

Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems
Academic article
Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V.
Anthology
Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.)
Commentary
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system.
Academic chapter
Holden, Helge. (2014) Universitetsledere. Morgenbladet
Commentary
Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv
Commentary
Holden, Helge. (2014) Styringsmodeller. Morgenbladet
Commentary
Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans.
Popular science chapter
Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V.
Anthology
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
Academic article

2013

Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation
Academic article
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation
Academic article
Holden, Helge; Simon, Barry; Teschl, Gerald. (2013) Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. American Mathematical Society (AMS)
Anthology
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system.
Academic chapter
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA)
Popular science article

2012

Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata
Academic article
Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag
Anthology
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V.
Anthology
Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning
Commentary
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
Academic article

2011

Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation
Academic article
Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis
Academic article
Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.
Academic monograph

2010

Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald. (2010) The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Discrete and Continuous Dynamical Systems. Series A
Academic article
Coclite, Giuseppe Maria; Holden, Helge. (2010) Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control
Academic article
Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv
Popular science article
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2010) Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society (EMS) Press
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS)
Anthology
Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées
Academic article
Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company
Anthology
Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics.
Academic chapter
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae
Academic article

2009

Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko. (2009) Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases.
Academic chapter
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, D. (2009) Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases.
Academic chapter
Holden, Helge; Risebro, Nils H.; Sande, Hilde. (2009) THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko; Panov, Evgueni Yu. (2009) Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Acta Mathematica Scientia
Academic article
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer
Academic monograph
Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A
Academic article
Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International Mathematics Research Notices (IMRN)
Academic article

2008

Gesztesy, F; Holden, Helge; Michor, J; Teschl, G. (2008) Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Studies in applied mathematics (Cambridge)
Academic article
Wiik, Torgeir; Holden, Helge; Hokstad, Ketil. (2008) Modelling of Electromagnetic Fields in Conductive Media and development of a Full Vectorial Contrast Source Inversion Method. Norges teknisk-naturvitenskapelige universitet
Master thesis
Holden, Helge; Gesztesy, Fritz; Teschl, Gerald; Michor, Johanna. (2008) Soliton Equations and Their Algebro-Geometric Solutions. Volume II. (1+1)-Dimensional Discrete Models. Cambridge University Press
Academic monograph
Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations
Academic article
Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Corrigendum
Gesztesy, F; Holden, Helge. (2008) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation.
Academic chapter
Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier
Academic article
Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation.
Academic chapter
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation.
Academic chapter
Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited.
Academic chapter
Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana
Academic article

2007

Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations
Academic article
Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning
Commentary
Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz. (2007) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21
Popular science article
Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs.
Research report

2006

Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl. (2006) WELL-POSEDNESS OF HIGHER-ORDER CAMASSA-HOLM EQUATIONS. Universitetet i Oslo
Research report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis
Academic article
Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter
Academic article

2005

Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Risebro, Nils Henrik. (2005) CONVERGENT DIFFERENCE SCHEMES FOR THE HUNTER-SAXTON EQUATION. Universitetet i Oslo
Research report
Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A
Academic article
Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications
Academic article
Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat
Popular science article
Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers
Professional article
Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics
Academic article
Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations.
Academic chapter
Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS)
Academic monograph

2004

Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl. (2004) GLOBAL WEAK SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION. Universitetet i Oslo
Research report
Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique
Academic article

2003

Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press
Academic monograph
Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A
Academic article
Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article

2002

Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica
Academic article
Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer
Academic monograph
Holden, Helge; Risebro, Nils Henrik; Hanche-Olsen, Harald. (2002) The Riemann problem for an elastic string with a linear Hooke's law. Quarterly of Applied Mathematics
Academic article

2000

Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik
Academic article
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations
Academic article
Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag
Textbook
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences
Academic article
Holden, Helge; Øksendal, Bernt. (2000) A white noise approach to stochastic Neumann boundary-value problems. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions.
Academic chapter
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. I. A Volume in Honor of Sergio Albeverio. [Mangler utgivernavn]
Non-fiction monograph
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. II. A Volume in Honor of Sergio Albeverio. [Mangler utgivernavn]
Non-fiction monograph

1999

Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Universitetet i Bergen
Research report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. Universitetet i Bergen
Research report
Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. Universitetet i Oslo
Research report
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises".
Academic chapter
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes".
Academic chapter
Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics
Academic article
Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes.
Academic chapter

1998

Bratvedt, Kyrre; Bølviken, Erik; Gimse, Tore; Holden, Helge; Holden, Lars; Knarud, Ragnar. (1998) Comment on Special Issue on Geostatistics with Guest Editor A. G. Journel. Mathematical Geology
Commentary
Bulla, W.; Gesztesy, F.; Holden, Helge; Teschl, G.. (1998) Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. American Mathematical Society
Non-fiction monograph

1997

Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization
Academic article
Holden, Helge. (1997) Buckley-Leverett equation.
Academic chapter

1996

Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). World Scientific Publ.
Non-fiction monograph
Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. Birkh@æuser
Non-fiction monograph

1995

Gjerde, Jon; Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu Shen. (1995) An equation modeling transport of a substance in a stochastic medium. Ukjent
Academic article
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics
Academic article

1994

Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Olufsen, Rudi; Risebro, Nils Henrik. (1994) Three-dimensional reservoir simulation based on front tracking.
Academic chapter
Holden, Helge. (1994) En trafikkmodell.
Academic chapter
Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations
Academic article

1993

Ubøe, Jan; Holden, Helge; Lindstrøm, Tom Louis; Øksendal, Bernt; Zhang, Tusheng. (1993) Stochastic boundary value problems. A white noise functional approach. Probability theory and related fields
Academic article
Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1993) The Lars Onsager Symposium : Coupled Transport Processes and Phase Transitions : June 2-4, 1993, Trondheim, Norway. Norwegian Academy of Technological Sciences
Non-fiction monograph
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry
Academic article

1992

Holden, Helge; Albeverio, Sergio ed.; Fenstad, Jens Erik ed.; Lindstrøm, Tom ed.. (1992) Ideas and methods in mathematical analysis, stochastics and applications. Cambridge University Press
Non-fiction monograph
Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension.
Academic chapter
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1992) A new front-tracking method for reservoir simulation, SPE 19805-PA. SPE Reservoir Evaluation and Engineering
Academic article

1991

Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. MIR
Non-fiction monograph
Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. Norsk Regnesentral
Research report

1989

Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics - American Mathematical Society
Academic article

1988

Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. Matematisk institutt, Universitetet i Oslo
Research report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) A numerical method for first order nonlinear scalar hyperbolic conservation laws in one dimension. Computers and Mathematics with Applications
Academic article

1986

Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. Universitetet i Oslo
Research report

Journal publications

Holden, Helge. (2026) You Can Nominate the Next Abel Laureate!. The Mathematical intelligencer
Academic article
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh. (2025) Error estimates for systems of nonlocal balance laws modelling dense multilane vehicular traffic. Nonlinearity
Academic article
Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica
Academic article
Gesztesy, F; Holden, Helge; Michor, J; Teschl, G. (2008) Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Studies in applied mathematics (Cambridge)
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis
Academic article
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity
Academic article
Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no
Commentary
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications
Academic article
Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow. SIAM News
Popular science article
Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation
Academic article
Holden, Helge. (2025) Årets Abelprisvinner utvikler matematikk som kan komme til nytte – i fremtiden. Forskning.no
Popular science article
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald. (2017) Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy. Annales de l'Institut Fourier
Academic article
Holden, Helge. (2025) Forskningsfond – hvor realistisk er det?. www.universitetsavisa.no
Commentary
Holden, Helge. (2025) Hvor mye skal vi forske?. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der?. www.universitetsavisa.no
Commentary
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko. (2009) Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no
Commentary
Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no
Commentary
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations
Academic article
Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge. (2025) Ti råd til unge forskere. www.universitetsavisa.no
Commentary
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald. (2010) The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems
Academic article
Coclite, Giuseppe Maria; Holden, Helge. (2010) Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics. Discrete and Continuous Dynamical Systems. Series A
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations
Academic article
Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning
Commentary
Holden, Helge; Phu, Hoang Xuan; Ponce, Gustavo; Vega, Luis. (2023) A master in harmony and differential equations. A tribute to Carlos E. Kenig on his 70th birthday. Vietnam Journal of Mathematics
Popular science article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge. (2023) ICM 2022: The first virtual ICM. European Mathematical Society Magazine
Commentary
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Reply to Best and Ashby: The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution. Proceedings of the National Academy of Sciences of the United States of America (PNAS)
Commentary
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model. Proceedings of the National Academy of Sciences of the United States of America (PNAS)
Academic article
Holden, Helge; Munthe-Kaas, Hans Zanna; Olsen, Dag Rune; Riener, Cordian Benedikt. (2025) Norge trenger et løft for matematikk på høyt nivå. Nordnorsk debatt - Nordlys
Commentary
Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control
Academic article
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh Kiran. (2023) On the accuracy of the finite volume approximations to nonlocal conservation laws. Numerische Mathematik
Academic article
Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A
Academic article
Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A
Academic article
Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Academic article
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Risebro, Nils Henrik. (2018) Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media
Academic article
Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization
Academic article
Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv
Popular science article
Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz. (2007) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis
Academic article
Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata
Academic article
Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2014) Universitetsledere. Morgenbladet
Commentary
Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv
Commentary
Holden, Helge. (2014) Styringsmodeller. Morgenbladet
Commentary
Holden, Helge. (2024) Åremål og retrett. Universitetsavisa
Commentary
Holden, Helge. (2024) Misvisende om Isaac Newton. Forskningspolitikk
Commentary
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh Kiran. (2024) Well-posedness and error estimates for coupled systems of nonlocal conservation laws. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Corrigendum
Holden, Helge. (2024) Eksportkontroll – trenger vi det?. Universitetsavisa
Commentary
Holden, Helge. (2024) Kunstig intelligens revolusjonerer matematikken. https://forskning.no/
Commentary
Holden, Helge. (2024) Drømmen om toget. Universitetsavisa
Commentary
Holden, Helge. (2024) Ulykker på hjemmekontoret – ditt ansvar?. Universitetsavisa
Commentary
Gesztesy, F; Holden, Helge. (2008) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics - American Mathematical Society
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series
Academic article
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae
Academic article
Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes
Academic article
Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv
Commentary
Hanche-Olsen, Harald; Holden, Helge. (2024) The Aubin-Lions-Dubinskii theorems on compactness in Bochner spaces. Pure and Applied Functional Analysis
Academic article
Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, D. (2009) Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Gjerde, Jon; Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu Shen. (1995) An equation modeling transport of a substance in a stochastic medium. Ukjent
Academic article
Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A
Academic article
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1992) A new front-tracking method for reservoir simulation, SPE 19805-PA. SPE Reservoir Evaluation and Engineering
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation
Academic article
Bratvedt, Kyrre; Bølviken, Erik; Gimse, Tore; Holden, Helge; Holden, Lars; Knarud, Ragnar. (1998) Comment on Special Issue on Geostatistics with Guest Editor A. G. Journel. Mathematical Geology
Commentary
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory
Academic article
Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no
Commentary
Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21
Popular science article
Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2024) Global existence of dissipative solutions to the Camassa–Holm equation with transport noise. Journal of Differential Equations
Academic article
Holden, Helge. (2020) Kallelse - ikke gjør det. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) Ytringsfrihet - hvor går grensen?. www.universitetsavisa.no
Commentary
Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique
Academic article
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no
Commentary
Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no
Commentary
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences
Academic article
Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society
Popular science article
Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no
Commentary
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik. (2024) The continuum limit of non-local Follow-the-Leader models. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
Academic article
Holden, Helge. (2024) Hva har vi lært, og hva må vi gjøre?. Universitetsavisa
Commentary
Carrillo, Jose Antonio; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
Academic article
Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences
Academic article
Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis
Academic article
Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.)
Commentary
Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat
Popular science article
Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Campussamling til besvær. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Hvor skal vi gjøre av bilene?. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no
Commentary
Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover. www.universitetsavisa.no
Commentary
Ubøe, Jan; Holden, Helge; Lindstrøm, Tom Louis; Øksendal, Bernt; Zhang, Tusheng. (1993) Stochastic boundary value problems. A white noise functional approach. Probability theory and related fields
Academic article
Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
Academic article
Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry. Measurement Science Review
Academic article
Holden, Helge. (2022) Forskernes hverdag. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Dette skal vi forske på det neste tiåret. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Matematik og krig. Weekendavisen
Commentary
Holden, Helge. (2022) Rangering av forskere. www.universitetsavisa.no
Commentary
Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis
Academic article
Holden, Helge. (2022) Faste midlertidige – en gordisk knute. www.universitetsavisa.no
Commentary
Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées
Academic article
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation
Academic article
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae
Academic article
Holden, Helge. (2022) Forskningsrådet i fritt fall. www.universitetsavisa.no
Commentary
Holden, Helge. (2022) Hva gjør vi etter krigen i Ukraina?. www.universitetsavisa.no
Commentary
Holden, Helge; Risebro, Nils Henrik; Hanche-Olsen, Harald. (2002) The Riemann problem for an elastic string with a linear Hooke's law. Quarterly of Applied Mathematics
Academic article
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) A numerical method for first order nonlinear scalar hyperbolic conservation laws in one dimension. Computers and Mathematics with Applications
Academic article
Holden, Helge; Risebro, Nils H.; Sande, Hilde. (2009) THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers
Professional article
Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations
Academic article
Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk
Commentary
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Øksendal, Bernt. (2000) A white noise approach to stochastic Neumann boundary-value problems. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
Academic article
Holden, Helge. (2023) Et "ERC grant" --- den hellige gral for forskere. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Hvordan skal universitetene finansieres?. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Åpen tilgang – hvorfor er det så vanskelig?. www.universitetsavisa.no
Commentary
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics
Academic article
Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports
Conference abstract
Holden, Helge. (2023) Bør Forskningsrådet utføre fagevalueringer?. www.universitetsavisa.no
Commentary
Holden, Helge. (2023) En matematikkprofessor leser Cormac McCarthys "Passasjeren" og "Stella Maris". www.universitetsavisa.no
Commentary
Holden, Helge. (2023) Er det mer å utforske?. www.universitetsavisa.no
Commentary
Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter
Academic article
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry
Academic article
Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory
Academic article
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Siegmund-Schultze, Reinhard; Holden, Helge. (2023) Luis A. Caffarelli. Store Norske Leksikon (Nettutgaven)
Popular science article
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv
Commentary
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics
Academic article
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko; Panov, Evgueni Yu. (2009) Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Acta Mathematica Scientia
Academic article
Carrillo, José A.; Holden, Helge; Solem, Susanne. (2022) Noise-driven bifurcations in a neural field system modelling networks of grid cells. Journal of Mathematical Biology
Academic article
Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no
Commentary
Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae
Academic article
Holden, Helge; Holden, Lars. (2025) Optimal rebalancing strategies reduce market variability. The Journal of Finance and Data Science
Academic article
Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations
Academic article
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning
Commentary
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter
Academic article
Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA)
Popular science article
Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A
Academic article
Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International Mathematics Research Notices (IMRN)
Academic article

Books

Ehrnstrom, Mats; Holden, Helge; Jakobsen, Espen Robstad. (2025) Partial Differential Equations: Waves, Nonlinearities and Nonlocalities: The Abel Symposium 2023. Springer Publishing Company
Anthology
Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. EMS Press
Anthology
Holden, Helge; Albeverio, Sergio ed.; Fenstad, Jens Erik ed.; Lindstrøm, Tom ed.. (1992) Ideas and methods in mathematical analysis, stochastics and applications. Cambridge University Press
Non-fiction monograph
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. MIR
Non-fiction monograph
Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature
Anthology
Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag
Textbook
Holden, Helge; Gesztesy, Fritz; Teschl, Gerald; Michor, Johanna. (2008) Soliton Equations and Their Algebro-Geometric Solutions. Volume II. (1+1)-Dimensional Discrete Models. Cambridge University Press
Academic monograph
Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V.
Anthology
Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press
Academic monograph
Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer
Academic monograph
Holden, Helge; Piene, Ragni. (2024) The Abel Prize 2018-2022. Springer Publishing Company
Anthology
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2010) Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society (EMS) Press
Academic monograph
Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). World Scientific Publ.
Non-fiction monograph
Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. Birkh@æuser
Non-fiction monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS)
Anthology
Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag
Anthology
Bulla, W.; Gesztesy, F.; Holden, Helge; Teschl, G.. (1998) Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. American Mathematical Society
Non-fiction monograph
Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V.
Anthology
Holden, Helge; Simon, Barry; Teschl, Gerald. (2013) Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. American Mathematical Society (AMS)
Anthology
Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1993) The Lars Onsager Symposium : Coupled Transport Processes and Phase Transitions : June 2-4, 1993, Trondheim, Norway. Norwegian Academy of Technological Sciences
Non-fiction monograph
Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company
Anthology
Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V.
Anthology
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. I. A Volume in Honor of Sergio Albeverio. [Mangler utgivernavn]
Non-fiction monograph
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. II. A Volume in Honor of Sergio Albeverio. [Mangler utgivernavn]
Non-fiction monograph
Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS)
Academic monograph
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer
Academic monograph

Part of book/report

Holden, Helge; Reichelt, Yngvar. (2025) Det Kongelige Norske Videnskabers Selskab gjennom medaljeutgivelser og tildelinger.
Popular science chapter
Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications.
Academic chapter
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases.
Academic chapter
Holden, Helge. (2022) Status Report for the IMU.
Non-fiction chapter
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system.
Academic chapter
Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans.
Popular science chapter
Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation.
Academic chapter
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises".
Academic chapter
Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension.
Academic chapter
Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation.
Academic chapter
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation.
Academic chapter
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Olufsen, Rudi; Risebro, Nils Henrik. (1994) Three-dimensional reservoir simulation based on front tracking.
Academic chapter
Holden, Helge. (1994) En trafikkmodell.
Academic chapter
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes".
Academic chapter
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases.
Academic chapter
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system.
Academic chapter
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited.
Academic chapter
Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System.
Academic chapter
Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics.
Academic chapter
Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations.
Academic chapter
Holden, Helge. (1997) Buckley-Leverett equation.
Academic chapter
Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions.
Academic chapter
Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes.
Academic chapter

Report

Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl. (2006) WELL-POSEDNESS OF HIGHER-ORDER CAMASSA-HOLM EQUATIONS. Universitetet i Oslo
Research report
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Risebro, Nils Henrik. (2005) CONVERGENT DIFFERENCE SCHEMES FOR THE HUNTER-SAXTON EQUATION. Universitetet i Oslo
Research report
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl. (2004) GLOBAL WEAK SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION. Universitetet i Oslo
Research report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Universitetet i Bergen
Research report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. Universitetet i Bergen
Research report
Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. Universitetet i Oslo
Research report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. Matematisk institutt, Universitetet i Oslo
Research report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. Universitetet i Oslo
Research report
Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs.
Research report
Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. Norsk Regnesentral
Research report

Student thesis or dissertation

Wiik, Torgeir; Holden, Helge; Hokstad, Ketil. (2008) Modelling of Electromagnetic Fields in Conductive Media and development of a Full Vectorial Contrast Source Inversion Method. Norges teknisk-naturvitenskapelige universitet
Master thesis
Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Møyner, Olav; Holden, Helge; Lie, Knut-Andreas; Natvig, Jostein Roald. (2016) Next Generation Multiscale Methods for Reservoir Simulation. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas; Møyner, Olav; Raynaud, Xavier; Holden, Helge. (2019) Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis

Teaching

Courses

Outreach

2025

Reader opinion

Holden, Helge. (2025) Den evige "tulledebatten'' og universitetenes autonomi.
Reader opinion

Holden, Helge. (2025) Anonyme fagfeller er best.
Lecture

Holden, Helge. (2025) The Abel Prize – one of the most prestigious prizes in mathematics. The Abel Prize – one of the most prestigious prizes in mathematics
Lecture

Holden, Helge. (2025) On the stochastic Camassa--Holm equation with transport noise. On the stochastic Camassa--Holm equation with transport noise
Lecture

Holden, Helge. (2025) Where are we going in (research) mathematics?. Where are we going in (research) mathematics?
Conference lecture

Holden, Helge. (2025) On the stochastic Camassa--Holm equation with transport noise. Modeling, Control and Games through Partial Differential Equations
Conference lecture

Holden, Helge. (2025) On the stochastic Camassa--Holm equation with transport noise. Celebrating the 80th Birthday of Professor Bernt Øksendal
Conference lecture

Holden, Helge. (2025) On the stochastic Camassa--Holm equation with transport noise. Advances in Stochastic Processes and Numerical Analysis
Lecture

Holden, Helge. (2025) The Abel Prize – one of the most prestigious prizes in mathematics. Complexity Cluster Workshop
Conference lecture

Holden, Helge. (2025) On the stochastic Camassa-Holm equation with transport noise. seminar
Contribution to radio or TV

Holden, Helge. (2025) Abelprisen 2025.
Conference lecture

Holden, Helge. (2025) On the stochastic Camassa–Holm equation with transport noise. The 10th International webinar on "Recent Trends in Statistical Theory and Applications"
Contribution to radio or TV

Holden, Helge. (2025) årets Abelpris.
Contribution to radio or TV

Holden, Helge. (2025) Abelprisen 2025.
Lecture

Holden, Helge. (2025) Når sivil forskning blir nasjonal sikkerhet. NSM Sikkerhetskonferansen

2024

Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. CH – Thirty Years Later
Lecture

Holden, Helge. (2024) Om Abelprisvinner Talagrand. Abels tårn
Conference lecture

Holden, Helge. (2024) Mathematical modeling of traffic flow: Discrete vs Continuous. Equadiff 2024
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. 9ECM
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. Workshop on Nonlinear PDE
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. Perspectives in Applied Mathematics: Theory and Numerics of PDEs
Feature article

Holden, Helge. (2024) De store forlagene er saksøkt!.
Lecture

Holden, Helge; Reichelt, Yngvar. (2024) DKNVS – en historie i edelt metall. medlemsmøte
Lecture

Holden, Helge. (2024) Eksportkontroll eller akademisk frihet – hva velger vi?. Debattmøte om NTNUs visjon og verdier
Feature article

Holden, Helge. (2024) Surr med sensorer: Hvem vokter vokterne?.
Lecture

Holden, Helge. (2024) Ytringsfrihet: Hvor går grensen?. Temadag om ytringsfrihet
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa--Holm equation with transport noise. 14th AIMS Conference
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. Gjesteforelesning
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. Gjesteforelesning
Feature article

Holden, Helge. (2024) Hvor høy blir en 100-årsbølge rundt en oljeplattform i Nordsjøen?.
Contribution to radio or TV

Holden, Helge. (2024) Valgt versus ansatt rektor.
Contribution to radio or TV

Holden, Helge. (2024) Valgt versus ansatt rektor.
Conference lecture

Holden, Helge. (2024) On the stochastic Camassa–Holm equation with transport noise. Workshop
Contribution to radio or TV

Holden, Helge. (2024) Ytringsfrihet eller ytringsfrykt ved universitetene?.
Contribution to radio or TV

Holden, Helge. (2024) Om kunstig intelligens og matematikk.
Lecture

Holden, Helge. (2024) The Abel Prize – one of the most prestigious prizes in mathematics. Kollokvium
Contribution to radio or TV

Holden, Helge. (2024) Når kommer den neste Nobelprisen til Norge?.
Lecture

Holden, Helge. (2024) Akademisk ytringsfrihet. Akademisk forum/UiO

2023

Conference lecture

Holden, Helge. (2023) Mathematical modeling of traffic flow: Discrete vs Continuous. Maathrafic: Workshop on Mathematical modeling, Analysis and Approximation of Vehicular and Pedestrian Dynamics
Lecture

Holden, Helge. (2023) A brief glimpse of Luis Caffarelli's mathematics. Abel Prize conference
Contribution to radio or TV

Holden, Helge. (2023) Om KI og matematikk.
Contribution to radio or TV

Holden, Helge. (2023) Om Abelprisen til Caffarelli.
Conference lecture

Holden, Helge. (2023) Mathematical modeling of traffic flow: Discrete vs Continuous. Swedish Mathematical Society Distinguished Lecture 2023
Conference lecture

Holden, Helge. (2023) Mathematical modeling of traffic flow: Discrete vs Continuous. 9th TYAN International Thematic Workshop on Mathematics
Contribution to radio or TV

Holden, Helge. (2023) Om Abelprisen til Caffarelli.
Lecture

Holden, Helge. (2023) Abelprisen 2023 til Luis Caffarelli. Faglærermøte
Conference lecture

Holden, Helge. (2023) On the stochastic Camassa-Holm equation with transport noise. SPDEs, optimal control and mean field games – analysis, numerics and applications
Contribution to radio or TV

Holden, Helge. (2023) Om Abelprisen.
Contribution to radio or TV

Holden, Helge. (2023) Om uendelighet.
Conference lecture

Holden, Helge. (2023) On the stochastic Camassa-Holm equation with transport noise. Multiscale Analysis and Methods for Quantum and Kinetic Problems
Contribution to radio or TV

Holden, Helge. (2023) Om Abelprisen til Caffarelli.
Contribution to radio or TV

Holden, Helge. (2023) Om Abelprisen til Caffarelli.
Feature article

Holden, Helge. (2023) Hvor vill kan naturen være?.

2022

Conference lecture

Holden, Helge. (2022) Status Report for the IMU. International Congress of Mathematicians 2022
Conference lecture

Holden, Helge. (2022) Mathematical modeling of traffic flow. Theoretical and computational aspects of dynamical systems
Conference lecture

Holden, Helge. (2022) A Lipschitz metric for the Camassa--Holm equation. Second Norwegian PDE meeting
Lecture

Holden, Helge. (2022) Status Report for the International Mathematical Union. ICM 2022
Conference lecture

Holden, Helge. (2022) Two sides of the Camassa--Holm equation: A Lipschitz metric and a noisy version. International PDE Conference

2021

Conference lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. konferanseforedrag
Conference lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. Konferanseforedrag
Conference lecture

Holden, Helge. (2021) What are the compact sets in Lebesgue spaces?. konferanseforedrag
Conference lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. konferanseforedrag
Lecture

Holden, Helge. (2021) Greetings at the IDM from the IMU. hilsen
Conference lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. Konferanseforedrag
Conference lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. gjesteforelesning zoom

2020

Conference lecture

Holden, Helge. (2020) The Hunter-Saxton equation with noise. Online seminar
Lecture

Holden, Helge. (2020) About the IMU. konferanseforedrag
Lecture

Holden, Helge. (2020) Lars Onsager (1903–1976). Gløshaugen Akademiske Klubb
Conference lecture

Holden, Helge. (2020) A novel Lipschitz metric for the Camassa-Holm equation. Gjesteforelesning
Conference lecture

Holden, Helge. (2020) A novel Lipschitz metric for the Camassa-Holm equation. gjesteforelesning zoom
Feature article

Holden, Helge; Lohndal, Terje. (2020) Hva er et fornuftig antall midlertidig ansatte ved universiteter og høyskoler?.
Feature article

Holden, Helge; Lohndal, Terje. (2020) Midlertidighet: Den gode, den dårlige og den kontroversielle.
Feature article

Holden, Helge; Lohndal, Terje. (2020) God og dårlig midlertidighet.
Interview

Holden, Helge; Lohndal, Terje. (2020) NTNU-professorer vil skille mellom god og dårlig midlertidighet.

2019

Conference lecture

Holden, Helge. (2019) What are the compact sets in Lebesgue spaces?. konferanseforedrag
Lecture

Holden, Helge. (2019) Abelprisen - verdens fremste matematikkpris?. gjesteforelesning
Conference lecture

Holden, Helge. (2019) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. konferanseforedrag
Conference lecture

Holden, Helge. (2019) Mathematical modeling of traffic flow. invitert foredrag
Conference lecture

Holden, Helge. (2019) A novel Lipschitz metric for the Camassa-Holm equation. Dispersive Waves and Related Topics
Conference lecture

Holden, Helge. (2019) Mathematical modeling of traffic flow. Dynamics, Equations and Applications

2018

Lecture

Holden, Helge. (2018) Big problems in mathematics: Solved and unsolved. forelesning
Conference lecture

Holden, Helge. (2018) What are the compact sets in Lebesgue spaces?. konferanse
Lecture

Holden, Helge. (2018) Abelprisen - verdens fremste matematikkpris?. foredrag
Lecture

Holden, Helge. (2018) IMU Status Report. kongress
Conference lecture

Holden, Helge. (2018) What are the compact sets in Lebesgue spaces?. Seminar
Conference lecture

Holden, Helge. (2018) Traffic modeling and the Braess paradox. gjesteforelesning
Conference lecture

Holden, Helge. (2018) Traffic modeling and the Braess paradox. konferanse
Conference lecture

Holden, Helge. (2018) The Camassa--Holm equation: A survey. gjesteforelesning

2017

Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. gjesteforelesning
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. gjesteforelesning
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. seminar
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. konferanseforedrag
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Seminar
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. konferanseforedrag
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. seminar
Contribution to radio or TV

Holden, Helge. (2017) Heidelberg Laureate Forum.
Conference lecture

Holden, Helge. (2017) What are the compact sets in Lebesgue spaces?. gjesteforelesning
Conference lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Mathematisches Kolloquium
Lecture

Holden, Helge. (2017) On the Abel Prize in Mathematics --- Would Abel have received the Abel Prize?. Junior Kolloquium

2016

Conference lecture

Holden, Helge. (2016) Burgers meets Braess. workshop
Conference lecture

Holden, Helge. (2016) Summary of workshop - problems ahead!. workshop
Conference lecture

Holden, Helge. (2016) The Camassa-Holm equation: A survey. 27th Nordic Congress of Mathematicians
Conference lecture

Holden, Helge. (2016) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. foredrag
Conference lecture

Holden, Helge. (2016) The Camassa-Holm equation: A survey. Foredrag
Conference lecture

Holden, Helge. (2016) Some reflections on the Braess paradox. Seminar
Conference lecture

Holden, Helge. (2016) Traffic modeling and the Braess paradox. Seminar
Contribution to radio or TV

Holden, Helge; Andersen, Reidar. (2016) Utstillingen "Body Worlds Vital".
Lecture

Holden, Helge. (2016) The International Mathematical Union. Jornada Conmemorativa
Feature article

Rokne, Arnfinn Stendahl; Andersen, Reidar; Holden, Helge. (2016) Vi kan gje formidling av verdsklasse.
Contribution to radio or TV

Holden, Helge. (2016) NTNU fusjon.
Contribution to radio or TV

Holden, Helge. (2016) NTNU fusjon.

2015

Feature article

Holden, Helge. (2015) Forskning og det uventede.
Lecture

Holden, Helge. (2015) Ville Abel fått Abelprisen? Om Abel og prisen hans. Kunnskapsbyen
Conference lecture

Holden, Helge. (2015) The Camassa-Holm equation: A survey. Gjesteforelesning
Conference lecture

Holden, Helge. (2015) The Camassa-Holm equation: A survey. Konferanse
Conference lecture

Holden, Helge. (2015) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. Konferanse

2014

Conference lecture

Holden, Helge. (2014) On the initial-value problem for the Camassa-Holm equation. gjesteforelesning
Contribution to radio or TV

Holden, Helge. (2014) Om hipstere.
Conference lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. gjesteforelesning
Lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. gjesteforelesning
Lecture

Holden, Helge. (2014) stein, SAKS, papir. gjesteforelesning
Conference lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. gjesteforelesning
Lecture

Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. gjesteforelesning
Lecture

Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. forelesning
Contribution to radio or TV

Holden, Helge. (2014) Why I chose mathematics and advice to Korean students.
Conference lecture

Holden, Helge. (2014) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. konferanse

2013

Lecture

Holden, Helge. (2013) Ville Abel fått Abelprisen? Om Abel og prisen hans. møte
Lecture

Holden, Helge. (2013) Ville Abel fått Abelprisen? Om Abel og prisen hans. forelesning
Conference lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. konferanse
Conference lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. konferanse
Conference lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. konferanse
Conference lecture

Holden, Helge. (2013) The Camassa-Holm equation: A survey. gjesteforelesning
Conference lecture

Holden, Helge. (2013) The Camassa-Holm equation: A survey. gjesteforelesning
Conference lecture

Holden, Helge. (2013) On the nonlinear variational wave equation. gjesteforelesning
Contribution to radio or TV

Holden, Helge. (2013) Om pi (Internasjonal pi-dag).
Lecture

Holden, Helge. (2013) Styrearbeid - litt styr og endel innflytelse. presentasjon

2012

Lecture

Holden, Helge. (2012) The first ten years of the Abel Prize. seminar
Conference lecture

Holden, Helge. (2012) On the nonlinear variational wave equation. seminar
Conference lecture

Holden, Helge. (2012) The Camassa-Holm equation: A survey. forelesning
Lecture

Holden, Helge. (2012) Big problems in mathematics: Solved and unsolved. kollokvium
Conference lecture

Holden, Helge. (2012) The Camassa--Holm equation: A survey. seminar
Lecture

Holden, Helge. (2012) Big problems in mathematics:Solved and unsolved. foredrag
Contribution to radio or TV

Holden, Helge. (2012) om matematikk.
Conference lecture

Holden, Helge. (2012) The Camassa-Holm equation: Past, present, and future. årsmøte
Feature article

Holden, Helge; Stubhaug, Arild. (2012) Vitenskapelige skrifter i 250 år.
Conference lecture

Holden, Helge. (2012) The Camassa-Holm equation: A survey. konferanse
Feature article

Holden, Helge; Piene, Ragni. (2012) Matematikkens gave.

2011

Conference lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. konferanse
Conference lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. gjesteforelesning
Lecture

Holden, Helge. (2011) Big problems in mathematics: Solved and unsolved. kollokvium
Lecture

Holden, Helge. (2011) Store problemer i matematikk: Løste og uløste. foredrag
Conference lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. konferanse
Conference lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear wave variational wave equation. gjesteforelesning

2010

Contribution to radio or TV

Holden, Helge. (2010) "Verdt å vite".
Conference lecture

Holden, Helge. (2010) The next phase of eVITA. konferanse
Conference lecture

Holden, Helge. (2010) Convergence of operator splitting for the KdV equation. konferanse

2009

Conference lecture

Holden, Helge. (2009) Global semigroup for the nonlinear variational wave equation. faglig foredrag
Conference lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. faglig foredrag
Conference lecture

Holden, Helge. (2009) Conservative and dissipative solutions of the Camassa-Holm equation. faglig foredrag
Conference lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. faglig foredrag
Conference lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. Seminar
Lecture

Holden, Helge. (2009) Big problems in mathematics: Solved and unsolved. faglig foredrag

2008

Conference lecture

Holden, Helge. (2008) The Camassa-Holm equation: Multipeakons – a survey. symposium
Conference lecture

Holden, Helge. (2008) PhD education and graduate schools. Challenges for graduate students and supervisors. workshop/kurs
Conference lecture

Holden, Helge. (2008) Peter D Lax – A glimpse at his contributions to mathematics. Honorary doctorate to Lax
Feature article

Holden, Helge. (2008) Verdens smarteste mann til Norge.
Feature article

Holden, Helge. (2008) Terence Tao og undervisning av flinke elever.

2007

Conference lecture

Holden, Helge. (2007) Conservative and dissipative solutions of the Camassa-Holm equation. gjesteforelesning
Conference lecture

Holden, Helge. (2007) Hyperbolic Conservation Laws. Graduate course
Conference lecture

Holden, Helge. (2007) Conservative and dissipative solutions of the Camassa-Holm equation. Nonlinear hyperbolic problems
Contribution to radio or TV

Holden, Helge. (2007) Hjemkjøp av Abelmanuskripter.

2006

Conference lecture

Holden, Helge. (2006) The Hunter-Saxton equation. Gjesteforelesning
Feature article

Holden, Helge. (2006) Om Poincaré, Perelman og kuler.
Conference lecture

Holden, Helge. (2006) The Abel Prize. With emphasis on Peter Lax. gjesteforelesning
Conference lecture

Holden, Helge. (2006) On the Hunter-Saxton equation. gjesteforelesning
Conference lecture

Holden, Helge. (2006) Industrial mathematics in Norway - some examples. workshop
Conference lecture

Holden, Helge. (2006) Conservative solutions of the Camassa-Holm equation. Workshop
Conference lecture

Holden, Helge. (2006) Peter D Lax - Abel Laureate 2005. Colloquium
Conference lecture

Holden, Helge. (2006) Peter Lax - Abel Laureate 2005. Colloquium
Conference lecture

Holden, Helge; Holden, Lars; Holden, Steinar. (2006) Contract adjustment under uncertainty. European Economic Association & Econometric Society, Vienna, Austria 24-28 august 2006

2005

Conference lecture

Holden, Helge. (2005) The Hunter-Saxton equation. gjesteforelesning
Conference lecture

Holden, Helge. (2005) The Hunter-Saxton equation. gjesteforelesning
Conference lecture

Holden, Helge. (2005) Numerical approximations of the Camassa-Holm equation. workshop
Conference lecture

Holden, Helge. (2005) On the Hunter-Saxton and Camassa-Holm equations. gjesteforelesning
Lecture

Holden, Helge. (2005) The Abel Laureate 2005. Annonsering av Abelprisvinneren
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. foredrag
Lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. Kollokvium
Contribution to radio or TV

Holden, Helge. (2005) Abelprisvinneren 2005.
Contribution to radio or TV

Holden, Helge. (2005) Peter D. Lax. Eksempler fra hans bidrag til matematikken.
Contribution to radio or TV

Holden, Helge. (2005) Abelprisvinneren 2005.
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. årsmøte
Lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. gjesteforelesning
Feature article

Holden, Helge. (2005) Matematikkens bidrag til Olje-Norge.
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. BeMatA konferanse
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. EXFak-forelesning
Lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. Kollokvium
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. Studentseminar
Lecture

Holden, Helge. (2005) Abelprisvinneren 2005. foredrag
Lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. Faglig-pedagogisk dag

2004

Conference lecture

Holden, Helge. (2004) Operator Splitting, Fast Methods, and Applications. gjesteforelesning
Conference lecture

Holden, Helge. (2004) Reservoir Simulation: A Small Glimpse. gjesteforelesning
Conference lecture

Holden, Helge. (2004) On the Hunter-Saxton-Zheng equation. foredrag
Conference lecture

Holden, Helge; Holden, Lars; Holden, Steinar. (2004) Contract renewal. Seminar i samfunnsøkonomi, Universitetet i Oslo
Conference lecture

Holden, Helge. (2004) On the Hunter-Saxton and Camassa-Holm equations. 4ECM (Fourth European Congress of Mathematics)
Conference lecture

Holden, Helge. (2004) On the Camassa-Holm and Hunter-Saxton equations. Fourth European Congress of Mathematics

2001

Conference lecture

Holden, Helge. (2001) The Camassa-Holm equation and hyperelliptic curves. Integrable Systems
Conference lecture

Holden, Helge. (2001) The massive Thirring equation and hyperelliptic curves. [Mangler data]
Conference lecture

Holden, Helge. (2001) The massive Thirring model and hyperelliptic curves. [Mangler data]

2000

Conference lecture

Holden, Helge. (2000) Operatorsplitting for nonlinear partial differential equations. Brown University
Conference lecture

Enolskii, Victor Z.; Gesztesy, Fritz; Holden, Helge. (2000) The classical massive Thirring systeme revisited. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics
Conference lecture

Gesztesy, Fritz; Holden, Helge. (2000) The Cole-Hopf and Miura transformations revisited. Mathematical Physics and Stochastic Analysis
Conference lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics
Conference lecture

Holden, Helge; Øksendal, Bernt; Grosser, Michael; H@ørmann, G.; Kunzinger, K.; Oberguggenberger, M.. (2000) A white noise approach to stochastic differential equations driven by Wiener and Poisson processes. Workshop: Nonlinear theory of generalized functions

1999

Conference lecture

Holden, Helge. (1999) Hierarchies of soleton equations and their algebro-geometric solutions. Workshop in mathematical physics
Conference lecture

Holden, Helge. (1999) Some thoughts based on two reviews. 2nd Meeting of Mide-Term Review Panel, TMR
Conference lecture

Holden, Helge. (1999) Darbux Transformations and hyperelliptic curves. The 1999 Inst. Conf. on Diff.Eq. and Math. Phys.
Conference lecture

Holden, Helge. (1999) Darboux transformations and hyperelliptic curves. 1999 Int. Conf. on Diff. Eq. and Math. Phys.
Conference lecture

Holden, Helge. (1999) White noise analysis and the stochastic Burgers eq. Courant inst, New York Univ.
Conference lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Lie-Kato-Trotter product formulas for nonlinear partial differential equations. Kruzhkov memorial conference
Conference lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Operator splitting for conservation laws. Godunov 70' conference
Conference lecture

Holden, Helge. (1999) Operator splitting for the generalized KdV equation. ICIAM 99 (International Conference. Industrial Appl.Math)
Conference lecture

Holden, Helge. (1999) Hierarchies of solitar equations and their algebro-geametric solutions. Workshop in Mathematical physics
Conference lecture

Holden, Helge. (1999) Operator splitting for the generalized KdV equation. Hyberbolic aspects of fluid dynamics

1998

Lecture

Holden, Helge. (1998) An introduction to stochastic partial differentila equations. A concentrated Advanced Couse, MaPhySto
Lecture

Holden, Helge. (1998) An unconditionally stable method for conservation laws with applications to gas dynamics and the shallow water equations. Second Euroconference, TMR Network
Conference lecture

Holden, Helge. (1998) Reviewing from the point of the referee. Improving the human research potential
Lecture

Holden, Helge. (1998) A local sine-Gordon hierachy and its algebro-geometric solutions. Fellesmøte Norsk matematisk forening og Svenska matematikersamf undet

1997

Lecture

Holden, Helge. (1997) Conservation laws with a random source. Erin Schr@ødinger Institute
Lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. [Mangler data]
Lecture

Holden, Helge. (1997) 1+1-dimensional completely integrable systems, originating from hyperelliptic curves, are all isomorphic. [Mangler data]
Lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. [Mangler data]
Lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. [Mangler data]
Lecture

Holden, Helge. (1997) The Dubrovin equation and integrable systems. International Conference of Differential Equations and Mathemat ical Physics

1995

Lecture

Holden, Helge. (1995) Reservoir simulation using front tracking. [Mangler data]
Conference lecture

Holden, Helge; Risebro, Nils Henrik; Martinsen, Torgeir With. (1995) Systems of hyperbolic conservation laws on networks : a model for traffic flow. ICIAM/GAMM 95

1994

Lecture

Holden, Helge. (1994) Industri og matematikk - til gjensidig nytte. [Mangler data]
Lecture

Holden, Helge. (1994) Traffic flow on a network. [Mangler data]
Lecture

Holden, Helge. (1994) Fundamental mathematical approaches to reservoir simulation : deterministic and stochastic models with examples. 4th European Conference on the Mathematics of Oil Recovery
Lecture

Holden, Helge. (1994) Stochastic Buckley-Leverett profiles. [Mangler data]

1993

Conference lecture

Holden, Helge. (1993) The industrial mathematics curriculum at the Norwegian Institute of Technology : the first ten years. Industrial Mathematics Week (1992 : Trondheim)

1991

Conference lecture

Holden, Helge; Holden, Lars. (1991) A review of stochastic methods applied to petroleum reservoir evaluation. Stochastic processes, physics and Geometry

1989

Conference lecture

Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1989) Some qualitative properties of 2x2 systems of conservation laws of mixed type. Workshop om equations that change type
Conference lecture

Bratvedt, Kyrre; Bratvedt, Frode; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1989) A reservoir simulator based on front tracking. Society of Petroleum Engineers, 64th annual technical conference & exhibition
Conference lecture

Holden, Lars; Holden, Helge; Risebro, Nils Henrik. (1989) A note on 2x2 systems of hyperbolic conservation laws. VISTA seminar, Lysebu

1988

Conference lecture

Holden, Helge; Holden, Lars. (1988) On some recent results for conservation laws in one dimension. 2nd International Conference on Hyperbolic Problems

Språkvelger

Helge Holden

Helge Holden

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