Elena Celledoni
About
Elena Celledoni has been employed at the Department of Mathematical Sciences since 2004. She is a professor of mathematics since 2009. She is a member of the group of differential equations and numerical analysis.
Background
She received her Master degree in mathematics from the University of Trieste in 1993, and her Ph.D in computational mathematics from the University of Padua, Italy, 1997. She held post doc positions at the University of Cambridge, UK, at the
Mathematical Sciences Research Institute, Berkeley, California and at NTNU.
Research
Her research field is in numerical analysis and in particular structure preserving algorithms for differential equations and geometric numerical integration.
Memberships, leadership experience (selection)
- Leader of the Differential Equations and Numerical Analysis Group at the Department of Mathematical Sciences and NTNU
- Member of the European Consortium of Mathematics in Industry Council
- Member of the board of the International Council of Mathematics in Industry and Applications
- Member of the Royal Norwegian Society of Sciences and Letters.
-
Co-organiser of a special semester at Isaac Newton Institute of MS, 2019. Geometry, compatibility and structure preservation
-
Member of the editorial board of SIAM Review, JCD, JGM, Calcolo, Networks and Heterogeneous Media
Publications
2022
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics.
volum 9 (4).
Academic article
-
Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics.
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators.
Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
Scientific anthology
-
Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, Carola-Bibiane.
(2022)
Structure preserving neural networks based on ODEs.
2022.
Report
-
Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics.
volum 448.
Academic article
2021
-
Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers.
Physics of Fluids.
volum 33 (4).
Academic article
-
Arnold, Martin;
Podhaisky, Helmut;
Weiner, Rüdiger;
Celledoni, Elena;
Frank, Jason;
Lang, Jens.
(2021)
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15.
Journal of Computational and Applied Mathematics.
volum 387.
Editorial
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Structure preserving deep learning.
European journal of applied mathematics.
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems.
volum 37 (8).
Academic article
-
Celledoni, Elena;
Jackaman, James.
(2021)
Discrete conservation laws for finite element discretisations of multisymplectic PDEs.
Journal of Computational Physics.
volum 444.
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics.
Academic article
2019
-
Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics.
volum 6 (2).
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation.
volum 89 (322).
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org.
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
van der Kamp, Peter H..
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (31).
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
van der Kamp, Peter H..
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org.
Academic article
-
Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2019)
Energy-Preserving Integrators Applied to Nonholonomic Systems.
Journal of nonlinear science.
volum 29 (4).
Academic article
-
Celledoni, Elena;
Gustad, Halvor Snersrud;
Kopylov, Nikita;
Sundklakk, Henrik Sperre.
(2019)
Predicting bending moments with machine learning.
Lecture Notes in Computer Science (LNCS).
volum LNCS11712.
Academic article
-
Celledoni, Elena;
Lystad, Pål Erik;
Tapia, Nikolas.
(2019)
Signatures in Shape analysis: An efficient approach to motion identification.
Lecture Notes in Computer Science (LNCS).
volum 11712 LNCS.
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert.
(2019)
Preface. Special issue in honour of Reinout Quispel.
Journal of Computational Dynamics.
volum 6 (2).
Editorial
-
Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (6).
Academic article
-
Gustad, Halvor Snersrud;
Moe, Per Thomas;
Celledoni, Elena.
(2019)
A PDE Model for Estimating the Life Time of a Riser.
ASME Press. 2019. ISBN 978-0-7918-5881-3.
Scientific anthology
-
Li, Lu;
Celledoni, Elena.
(2019)
Krylov projection methods for linear Hamiltonian systems.
Numerical Algorithms.
Academic article
-
Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
Academic chapter/article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms.
volum 81 (4).
Academic article
-
Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org.
Academic article
-
van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (4).
Academic article
2018
-
Celledoni, Elena;
Di Nunno, Giulia;
Ebrahimi-Fard, Kurusch;
Munthe-Kaas, Hans.
(2018)
Computation and Combinatorics in Dynamics, Stochastics and Control.
Springer. 2018. ISBN 978-3-030-01592-3. Abel Symposia (1).
Scientific anthology
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing.
volum 40 (6).
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Schmeding, Alexander.
(2018)
Shape analysis on homogeneous spaces: a generalised SRVT framework.
Abel Symposia.
volum 13.
Academic article
-
Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2018)
Passivity-preserving splitting methods for rigid body systems.
Multibody system dynamics.
volum 44 (3).
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org.
Academic article
2017
-
Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on Lie groups and homogeneous manifolds.
Proceedings of the GSI conference 2017.
Summary/Abstract
-
Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on lie groups and homogeneous spaces.
Lecture Notes in Computer Science (LNCS).
volum 10589 LNCS.
Academic article
-
Celledoni, Elena;
Høiseth, Eirik Hoel.
(2017)
Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems.
arXiv.org.
Academic article
-
Celledoni, Elena;
Li, Lu.
(2017)
Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants.
Springer Publishing Company. 2017. ISBN 978-3-319-63081-6. Progress in industrial mathematics at ECMI (26).
Nonfiction book
2016
-
Celledoni, Elena;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2016)
Shape analysis on Lie groups with application in computer animation.
Journal of Geometric Mechanics (JGM).
volum 8 (3).
Academic article
-
Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2016)
Energy-Preserving Integrators Applied to Nonholonomic Systems.
2016. arXiv.org (1605.02845).
Report
-
Celledoni, Elena;
Høiseth, Eirik Hoel.
(2016)
The averaged Lagrangian method.
Journal of Computational and Applied Mathematics.
volum 316.
Academic article
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley;
Verdier, Olivier.
(2016)
High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations.
Journal of Scientific Computing.
volum 66 (1).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University.
volum 74.
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University.
volum 74.
Academic article
2015
-
Celledoni, Elena;
Kozlov, Roman;
Matsuo, Takayasu.
(2015)
Preface of the “Symposium on structure-preserving integrators for differential equations”.
AIP Conference Proceedings.
volum 1648.
Editorial
-
Celledoni, Elena;
Markus, Eslitzbichler.
(2015)
Shape Analysis on Lie Groups with Applications in Computer Animation.
2015.
Report
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences.
volum 471:20150390.
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
2015.
Report
-
Høiseth, Eirik Hoel;
Celledoni, Elena;
Gustafsson, Einar;
Ramzina, Nataliya.
(2015)
Splitting methods for controlled vessel offshore operations.
AIP Conference Proceedings.
volum 1648.
Academic article
2014
-
Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2014)
Splitting methods for controlled vessel marine operations.
2014.
Report
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics.
volum 257, Part B.
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical.
volum 47 (36).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A.
volum 34 (3).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation.
volum 83 (288).
Academic article
-
Celledoni, Elena;
Sanz-Serna, Jesus Maria;
Zanna, Antonella.
(2014)
Guest editors' preface.
Discrete and Continuous Dynamical Systems. Series A.
volum 34 (3).
Editorial
2013
-
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical.
volum 46 (2).
Academic article
2012
-
Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, G.R.W.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics.
volum 231 (20).
Academic article
-
Celledoni, Elena;
Matsuo, Takayasu.
(2012)
Preface of the "Symposium on structure-preserving numerical methods for differential equations".
AIP Conference Proceedings.
Academic article
2011
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2011)
Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems.
Journal of Computational Physics.
volum 230 (9).
Academic article
2010
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
Energy-Preserving Integrators and the Structure of B-series.
Foundations of Computational Mathematics.
volum 10 (6).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate B-series and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics.
volum 5 (1-2).
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2010)
A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering.
volum 199 (45-48).
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2010)
Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering.
volum 199 (45-48).
Academic article
-
Celledoni, Elena;
Zanna, Antonella.
(2010)
Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions.
ACM Transactions on Mathematical Software.
volum 37 (2).
Academic article
-
Gisler, Galen Ross;
Celledoni, Elena;
Helgaker, Trygve;
Iversen, Trond;
Jakobsen, Kjetill Sigurd;
Jones, Colin N.;
Lipniacka, Anna;
Lundervold, Arvid;
Olsen, Nils Reidar Bøe;
De Smedt, Koenraad;
Koster, Jacko;
Høst, Gudmund.
(2010)
The scientific case for eInfrastructure in Norway.
2010. ISBN 978-82-12-02831-9.
Report
2009
-
Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
2009.
Report
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Order conditions for the semi-Lagrangian exponential integrators.
2009.
Report
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems.
Journal of Scientific Computing.
volum 41 (1).
Academic article
-
Celledoni, Elena;
Kvamsdal, Trond.
(2009)
Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium.
International Journal for Numerical Methods in Engineering.
volum 79 (5).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Mathematical Modelling and Numerical Analysis.
volum 43 (4).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
2009.
Report
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of B-series for some classes of Geometric Integrators.
AIP Conference Proceedings.
volum 1168.
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2009)
An elastic rod model and its Hamiltonian structure.
AIP Conference Proceedings.
volum 1168.
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2009)
Hamiltonian and multi-symplectic formulation of a rod model using quaternions.
2009.
Report
2008
-
Celledoni, Elena.
(2008)
ParaReal: FORTRAN/MPI parallel in time prototype code for the heat equation in 1 space dimension.
http://www.math.ntnu.no/~elenac/software.html, Trondheim. 2008.
Software
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics.
volum 8.
Academic article
-
Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2008)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing.
volum 30 (4).
Academic article
-
Celledoni, Elena;
Fiori, Simone.
(2008)
Descent methods for optimization on homogeneous manifolds.
Mathematics and Computers in Simulation.
volum 79 (4).
Academic article
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2008)
Semi-Lagrangian exponential integrators for convection dominated problems.
2008.
Report
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
2008.
Report
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
21st Nordic Seminar on Computational Mechanics.
Academic chapter/article
-
Celledoni, Elena;
Zanna, Antonella.
(2008)
FRB-FORTRAN routines for the exact computation of free rigid body motions.
2008.
Report
2007
-
Celledoni, Elena;
Fasso, Francesco;
Säfström, Niklas;
Zanna, Antonella.
(2007)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing.
volum 30 (4).
Academic article
-
Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2007)
Exact computation of the solution of the free rigid body with applications.
2007.
Report
-
Celledoni, Elena;
Fiori, Simone.
(2007)
Descent methods for optimization on homogenous manifolds.
2007.
Report
-
Celledoni, Elena;
Kvamsdal, Trond.
(2007)
Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium.
2007.
Report
2006
-
Celledoni, Elena.
(2006)
Exponential integrators for convection dominated problems.
Oberwolfach Reports.
volum 3 (1).
Academic article
-
Celledoni, Elena.
(2006)
Semi-Lagrangian methods and new integrators for convection dominated problems.
Oberwolfach Reports.
volum 3 (2).
Academic article
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
2006.
Report
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
A symmetric splitting method for rigid body dynamics.
Modeling, Identification and Control.
volum 27 (2).
Academic article
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions.
Journal of Physics A: Mathematical and General.
volum 39.
Academic article
2005
-
Amundsen, J;
Andersson, H;
Celledoni, E;
Gravdahl, T;
Michelsen, F;
Nagel, H;
Natvig, T.
(2005)
SIMS 2005. 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag. 2005. ISBN 8251920930.
Scientific anthology
-
Amundsen, Jørn Aslak;
Andersson, Helge Ingolf;
Celledoni, Elena;
Gravdahl, Jan Tommy;
Nagel, Henrik;
Natvig, Thorvald.
(2005)
SIMS 2005 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag. 2005. ISBN 82-519-2093-0.
Scientific anthology
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2005)
A symmetric splitting method for rigid body dynamics.
SIMS 2005 46th Conference on Simulation and Modeling.
Academic chapter/article
-
Celledoni, Elena.
(2005)
Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators.
CRM Proceedings and Lecture notes AMS.
volum 39.
Academic article
2004
-
Celledoni, Elena;
Fiori, Simone.
(2004)
Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations.
Journal of Computational and Applied Mathematics.
volum 172.
Academic article
-
Celledoni, Elena;
Kvamsdal, Trond.
(2004)
Parallel time solver for the transient Stokes problem.
2004. ISBN 951-39-1868-8.
Scientific anthology
2003
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms.
volum 32.
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future generations computer systems.
volum 19 (3).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering.
volum 19 (3/4).
Academic article
2002
-
Celledoni, Elena;
Iserles, Arieh;
Nørsett, Syvert P.;
Orel, Bojan.
(2002)
Complexity Theory for Lie-Group Solvers.
Journal of Complexity.
volum 18.
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis.
volum 40 (6).
Academic article
2001
-
Celledoni, Elena.
(2001)
A note on the numerical integration of the KdV equation via isospectral deformations.
Journal of Physics A: Mathematical and General.
volum 34.
Academic article
-
Celledoni, Elena;
Iserles, Arieh.
(2001)
Methods for the approximation of the matrix exponential in a Lie-algebraic setting.
IMA Journal of Numerical Analysis.
volum 21.
Academic article
-
Celledoni, Elena;
Johannessen, Geir;
Kvamsdal, Trond.
(2001)
Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium.
Proceedings of the Parallel CFD conference, Trondheim 2000.
Academic chapter/article
-
Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
Report
2000
-
Celledoni, Elena;
Iserles, Arieh.
(2000)
Approximating the matrix exponential from a Lie algebra to a Lie group.
Mathematics of Computation.
volum 69 (232).
Academic article
1998
-
Celledoni, Elena.
(1998)
Discrete QMR and BCG in the numerical solution od linear systems of ODEs.
Journal of Computational and Applied Mathematics.
volum 91 (1).
Academic article
1997
-
Celledoni, Elena.
(1997)
Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie.
1997.
PhD thesis
-
Celledoni, Elena;
Moret, Igor.
(1997)
A Krylov projection method for systems of ODEs.
Applied Numerical Mathematics.
volum 24.
Academic article
Scientific articles
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics.
volum 9 (4).
Academic article
-
Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics.
Academic article
-
Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics.
volum 448.
Academic article
-
Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers.
Physics of Fluids.
volum 33 (4).
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Structure preserving deep learning.
European journal of applied mathematics.
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems.
volum 37 (8).
Academic article
-
Celledoni, Elena;
Jackaman, James.
(2021)
Discrete conservation laws for finite element discretisations of multisymplectic PDEs.
Journal of Computational Physics.
volum 444.
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics.
Academic article
-
Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics.
volum 6 (2).
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation.
volum 89 (322).
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org.
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
van der Kamp, Peter H..
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (31).
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
van der Kamp, Peter H..
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org.
Academic article
-
Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2019)
Energy-Preserving Integrators Applied to Nonholonomic Systems.
Journal of nonlinear science.
volum 29 (4).
Academic article
-
Celledoni, Elena;
Gustad, Halvor Snersrud;
Kopylov, Nikita;
Sundklakk, Henrik Sperre.
(2019)
Predicting bending moments with machine learning.
Lecture Notes in Computer Science (LNCS).
volum LNCS11712.
Academic article
-
Celledoni, Elena;
Lystad, Pål Erik;
Tapia, Nikolas.
(2019)
Signatures in Shape analysis: An efficient approach to motion identification.
Lecture Notes in Computer Science (LNCS).
volum 11712 LNCS.
Academic article
-
Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (6).
Academic article
-
Li, Lu;
Celledoni, Elena.
(2019)
Krylov projection methods for linear Hamiltonian systems.
Numerical Algorithms.
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms.
volum 81 (4).
Academic article
-
Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org.
Academic article
-
van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical.
volum 52 (4).
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing.
volum 40 (6).
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Schmeding, Alexander.
(2018)
Shape analysis on homogeneous spaces: a generalised SRVT framework.
Abel Symposia.
volum 13.
Academic article
-
Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2018)
Passivity-preserving splitting methods for rigid body systems.
Multibody system dynamics.
volum 44 (3).
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org.
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on lie groups and homogeneous spaces.
Lecture Notes in Computer Science (LNCS).
volum 10589 LNCS.
Academic article
-
Celledoni, Elena;
Høiseth, Eirik Hoel.
(2017)
Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems.
arXiv.org.
Academic article
-
Celledoni, Elena;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2016)
Shape analysis on Lie groups with application in computer animation.
Journal of Geometric Mechanics (JGM).
volum 8 (3).
Academic article
-
Celledoni, Elena;
Høiseth, Eirik Hoel.
(2016)
The averaged Lagrangian method.
Journal of Computational and Applied Mathematics.
volum 316.
Academic article
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley;
Verdier, Olivier.
(2016)
High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations.
Journal of Scientific Computing.
volum 66 (1).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University.
volum 74.
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University.
volum 74.
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences.
volum 471:20150390.
Academic article
-
Høiseth, Eirik Hoel;
Celledoni, Elena;
Gustafsson, Einar;
Ramzina, Nataliya.
(2015)
Splitting methods for controlled vessel offshore operations.
AIP Conference Proceedings.
volum 1648.
Academic article
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics.
volum 257, Part B.
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical.
volum 47 (36).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A.
volum 34 (3).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation.
volum 83 (288).
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical.
volum 46 (2).
Academic article
-
Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, G.R.W.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics.
volum 231 (20).
Academic article
-
Celledoni, Elena;
Matsuo, Takayasu.
(2012)
Preface of the "Symposium on structure-preserving numerical methods for differential equations".
AIP Conference Proceedings.
Academic article
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2011)
Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems.
Journal of Computational Physics.
volum 230 (9).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
Energy-Preserving Integrators and the Structure of B-series.
Foundations of Computational Mathematics.
volum 10 (6).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate B-series and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics.
volum 5 (1-2).
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2010)
A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering.
volum 199 (45-48).
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2010)
Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions.
Computer Methods in Applied Mechanics and Engineering.
volum 199 (45-48).
Academic article
-
Celledoni, Elena;
Zanna, Antonella.
(2010)
Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions.
ACM Transactions on Mathematical Software.
volum 37 (2).
Academic article
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems.
Journal of Scientific Computing.
volum 41 (1).
Academic article
-
Celledoni, Elena;
Kvamsdal, Trond.
(2009)
Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium.
International Journal for Numerical Methods in Engineering.
volum 79 (5).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Mathematical Modelling and Numerical Analysis.
volum 43 (4).
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of B-series for some classes of Geometric Integrators.
AIP Conference Proceedings.
volum 1168.
Academic article
-
Celledoni, Elena;
Säfström, Niklas.
(2009)
An elastic rod model and its Hamiltonian structure.
AIP Conference Proceedings.
volum 1168.
Academic article
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics.
volum 8.
Academic article
-
Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2008)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing.
volum 30 (4).
Academic article
-
Celledoni, Elena;
Fiori, Simone.
(2008)
Descent methods for optimization on homogeneous manifolds.
Mathematics and Computers in Simulation.
volum 79 (4).
Academic article
-
Celledoni, Elena;
Fasso, Francesco;
Säfström, Niklas;
Zanna, Antonella.
(2007)
The exact computation of the free rigid body motion and its use in splitting methods.
SIAM Journal on Scientific Computing.
volum 30 (4).
Academic article
-
Celledoni, Elena.
(2006)
Exponential integrators for convection dominated problems.
Oberwolfach Reports.
volum 3 (1).
Academic article
-
Celledoni, Elena.
(2006)
Semi-Lagrangian methods and new integrators for convection dominated problems.
Oberwolfach Reports.
volum 3 (2).
Academic article
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
A symmetric splitting method for rigid body dynamics.
Modeling, Identification and Control.
volum 27 (2).
Academic article
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2006)
Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions.
Journal of Physics A: Mathematical and General.
volum 39.
Academic article
-
Celledoni, Elena.
(2005)
Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators.
CRM Proceedings and Lecture notes AMS.
volum 39.
Academic article
-
Celledoni, Elena;
Fiori, Simone.
(2004)
Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations.
Journal of Computational and Applied Mathematics.
volum 172.
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms.
volum 32.
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future generations computer systems.
volum 19 (3).
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering.
volum 19 (3/4).
Academic article
-
Celledoni, Elena;
Iserles, Arieh;
Nørsett, Syvert P.;
Orel, Bojan.
(2002)
Complexity Theory for Lie-Group Solvers.
Journal of Complexity.
volum 18.
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis.
volum 40 (6).
Academic article
-
Celledoni, Elena.
(2001)
A note on the numerical integration of the KdV equation via isospectral deformations.
Journal of Physics A: Mathematical and General.
volum 34.
Academic article
-
Celledoni, Elena;
Iserles, Arieh.
(2001)
Methods for the approximation of the matrix exponential in a Lie-algebraic setting.
IMA Journal of Numerical Analysis.
volum 21.
Academic article
-
Celledoni, Elena;
Iserles, Arieh.
(2000)
Approximating the matrix exponential from a Lie algebra to a Lie group.
Mathematics of Computation.
volum 69 (232).
Academic article
-
Celledoni, Elena.
(1998)
Discrete QMR and BCG in the numerical solution od linear systems of ODEs.
Journal of Computational and Applied Mathematics.
volum 91 (1).
Academic article
-
Celledoni, Elena;
Moret, Igor.
(1997)
A Krylov projection method for systems of ODEs.
Applied Numerical Mathematics.
volum 24.
Academic article
Journal publications
-
Arnold, Martin;
Podhaisky, Helmut;
Weiner, Rüdiger;
Celledoni, Elena;
Frank, Jason;
Lang, Jens.
(2021)
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15.
Journal of Computational and Applied Mathematics.
volum 387.
Editorial
-
Celledoni, Elena;
McLachlan, I. Robert.
(2019)
Preface. Special issue in honour of Reinout Quispel.
Journal of Computational Dynamics.
volum 6 (2).
Editorial
-
Celledoni, Elena;
Eidnes, Sølve;
Eslitzbichler, Markus;
Schmeding, Alexander.
(2017)
Shape analysis on Lie groups and homogeneous manifolds.
Proceedings of the GSI conference 2017.
Summary/Abstract
-
Celledoni, Elena;
Kozlov, Roman;
Matsuo, Takayasu.
(2015)
Preface of the “Symposium on structure-preserving integrators for differential equations”.
AIP Conference Proceedings.
volum 1648.
Editorial
-
Celledoni, Elena;
Sanz-Serna, Jesus Maria;
Zanna, Antonella.
(2014)
Guest editors' preface.
Discrete and Continuous Dynamical Systems. Series A.
volum 34 (3).
Editorial
Books
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators.
Springer. 2022. ISBN 978-3-031-11818-0. Progress in industrial mathematics at ECMI (1).
Scientific anthology
-
Gustad, Halvor Snersrud;
Moe, Per Thomas;
Celledoni, Elena.
(2019)
A PDE Model for Estimating the Life Time of a Riser.
ASME Press. 2019. ISBN 978-0-7918-5881-3.
Scientific anthology
-
Celledoni, Elena;
Di Nunno, Giulia;
Ebrahimi-Fard, Kurusch;
Munthe-Kaas, Hans.
(2018)
Computation and Combinatorics in Dynamics, Stochastics and Control.
Springer. 2018. ISBN 978-3-030-01592-3. Abel Symposia (1).
Scientific anthology
-
Celledoni, Elena;
Li, Lu.
(2017)
Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants.
Springer Publishing Company. 2017. ISBN 978-3-319-63081-6. Progress in industrial mathematics at ECMI (26).
Nonfiction book
-
Amundsen, J;
Andersson, H;
Celledoni, E;
Gravdahl, T;
Michelsen, F;
Nagel, H;
Natvig, T.
(2005)
SIMS 2005. 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag. 2005. ISBN 8251920930.
Scientific anthology
-
Amundsen, Jørn Aslak;
Andersson, Helge Ingolf;
Celledoni, Elena;
Gravdahl, Jan Tommy;
Nagel, Henrik;
Natvig, Thorvald.
(2005)
SIMS 2005 46th Conference on Simulation and Modeling.
Tapir Akademisk Forlag. 2005. ISBN 82-519-2093-0.
Scientific anthology
-
Celledoni, Elena;
Kvamsdal, Trond.
(2004)
Parallel time solver for the transient Stokes problem.
2004. ISBN 951-39-1868-8.
Scientific anthology
Part of book/report
-
Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019).
Academic chapter/article
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
21st Nordic Seminar on Computational Mechanics.
Academic chapter/article
-
Celledoni, Elena;
Sævstrøm, Niklas.
(2005)
A symmetric splitting method for rigid body dynamics.
SIMS 2005 46th Conference on Simulation and Modeling.
Academic chapter/article
-
Celledoni, Elena;
Johannessen, Geir;
Kvamsdal, Trond.
(2001)
Parallelisation of a CFD Code: The use of Aztec Library in the Parallel Numerical Simulation of Extrusion of Aluminium.
Proceedings of the Parallel CFD conference, Trondheim 2000.
Academic chapter/article
Report
-
Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, Carola-Bibiane.
(2022)
Structure preserving neural networks based on ODEs.
2022.
Report
-
Celledoni, Elena;
Farre Puiggali, Marta;
Høiseth, Eirik Hoel;
Martin de Diego, David.
(2016)
Energy-Preserving Integrators Applied to Nonholonomic Systems.
2016. arXiv.org (1605.02845).
Report
-
Celledoni, Elena;
Markus, Eslitzbichler.
(2015)
Shape Analysis on Lie Groups with Applications in Computer Animation.
2015.
Report
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
2015.
Report
-
Celledoni, Elena;
Høiseth, Eirik Hoel;
Ramzina, Nataliya.
(2014)
Splitting methods for controlled vessel marine operations.
2014.
Report
-
Gisler, Galen Ross;
Celledoni, Elena;
Helgaker, Trygve;
Iversen, Trond;
Jakobsen, Kjetill Sigurd;
Jones, Colin N.;
Lipniacka, Anna;
Lundervold, Arvid;
Olsen, Nils Reidar Bøe;
De Smedt, Koenraad;
Koster, Jacko;
Høst, Gudmund.
(2010)
The scientific case for eInfrastructure in Norway.
2010. ISBN 978-82-12-02831-9.
Report
-
Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
2009.
Report
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2009)
Order conditions for the semi-Lagrangian exponential integrators.
2009.
Report
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
2009.
Report
-
Celledoni, Elena;
Säfström, Niklas.
(2009)
Hamiltonian and multi-symplectic formulation of a rod model using quaternions.
2009.
Report
-
Celledoni, Elena;
Kometa, Bawfeh Kingsley.
(2008)
Semi-Lagrangian exponential integrators for convection dominated problems.
2008.
Report
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Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
2008.
Report
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Celledoni, Elena;
Zanna, Antonella.
(2008)
FRB-FORTRAN routines for the exact computation of free rigid body motions.
2008.
Report
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Celledoni, Elena;
Fasso, Francesco;
Sævstrøm, Niklas;
Zanna, Antonella.
(2007)
Exact computation of the solution of the free rigid body with applications.
2007.
Report
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Celledoni, Elena;
Fiori, Simone.
(2007)
Descent methods for optimization on homogenous manifolds.
2007.
Report
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Celledoni, Elena;
Kvamsdal, Trond.
(2007)
Parallelism in time for thermo-viscoplastic problems in extrusion of aluminium.
2007.
Report
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Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
2006.
Report
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Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
2001. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).
Report
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Celledoni, Elena.
(1997)
Metodi di Krylov per sistemi lineari di equazioni differenziali ordinarie.
1997.
PhD thesis
Teaching
Courses
Media
2022
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PosterNoren, Håkon; Celledoni, Elena; Eidnes, Sølve. (2022) Numerical integrators for learning dynamical systems from noisy data. The Symbiosis of Deep Learning and Differential Equations . NeurIPS; Virtual Workshop. 2022-12-09 - 2022-12-09.
2019
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Academic lectureOhm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. 10th National Conference on Computational Mechanics . Faculty of Engineering NTNU; Trondheim. 2019-06-03 - 2019-06-04.
2018
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Academic lectureCelledoni, Elena. (2018) Deep learning as optimal control problems. Numdiff- Halle . Martin-Luther University Halle; Halle (Saale). 2018-09-03 - 2018-09-07.
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Academic lectureCelledoni, Elena. (2018) Deep learning as optimal control problems. Modern Numerical Methods for Quantum Mechanics II . University of Gdansk, Karolina Kropielnicka; Gdansk. 2018-06-27 - 2018-06-29.
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Academic lectureCelledoni, Elena; Høiseth, Eirik Hoel. (2018) Structure preserving discretization of port-Hamiltonian systems. ANODE 2018 . University of Auckland; Auckland. 2018-02-19 - 2018-02-23.
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Academic lectureTapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Auckland Numerical Ordinary Differential Equations Conference . University of Auckland; Auckland. 2018-02-19 - 2018-02-23.
2017
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LectureCelledoni, Elena. (2017) Shape analsis on homogeneous manifolds. Connections in Geometric Numerical Integration and Structure-Preserving Discretization . Banff international research station; Banff. 2017-06-11 - 2017-06-16.
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Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. V Iberoamerican Meeting on Geometry, Mechanics and Control. . University of La Laguna; 2017-01-16 - 2017-01-20.
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Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous manifolds. SciCADE 2017 . University of Bath; Bath. 2017-09-11 - 2017-09-16.
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Academic lectureCelledoni, Elena. (2017) Shape analysis on Lie groups and homogeneous spaces. Future and Emerging Mathematical Technologies . EU-Maths-In; Lorentz Institute, Leiden. 2017-12-11 - 2017-12-15.
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Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Model reduction in Lie group integration. SciCADE 2017 . University of Bath; Bath. 2017-09-11 - 2017-09-15.
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Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on Lie groups. ChiPS kickoff meeting . NTNU; Trondheim. 2017-06-27 - 2017-06-30.
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Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis ; Cambridge. 2017-08-31 - 2017-09-01.
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Academic lectureSchmeding, Alexander; Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus. (2017) Shape analysis on Lie groups and beyond. MekIT’17 - 9th National Conference on Computational Mechanics ; NTNU Trondheim. 2017-05-11 - 2017-05-12.
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PosterTapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of non-spherical particles in shear flow. FoCM 2017 ; Barcelona. 2017-07-10 - 2017-07-19.
2016
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Academic lectureCelledoni, Elena. (2016) Energy-preserving methods applied to nonholnomic systems. 2nd Geometric Algorithms and Methods for Plasma Physics Workshop (GAMPP) . Max-Plank Institute of Plasma Physics; Munchen. 2016-09-12 - 2016-09-16.
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Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Lie groups shape analysis and computer animation. MaGIC . NTNU and UiB; Ilsetra. 2016-02-18 - 2016-02-21.
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Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. International Workshop on Industrial Mathematics . CeMEAI, ICMECC, SBMAC; Campinas – Sao Paulo, Brazil. 2016-05-05 - 2016-05-06.
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Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. Oberwolfach Workshop . MFO; Oberwolfach. 2016-03-20 - 2016-03-26.
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Academic lectureCelledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. SDIDE . Universita' di Trieste; Trieste. 2016-06-21 - 2016-06-24.
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PosterSchmeding, Alexander; Celledoni, Elena; Eslitzbichler, Markus. (2016) Shape Analysis on Lie Groups (and beyond) with Applications. Math meets Industry . NTNU Trondheim; Scandic Lerkendal Hotel, Trondheim. 2016-09-22 - 2016-09-23.
2015
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Academic lectureCelledoni, Elena. (2015) Analysis of shapes on Lie groups with application to computer animation. NumDiff 14 . M. Arnold, H. Podhaisky, R. Weiner, W. Hundsdorfer, J. Frank; Martin Luther University, Halle. 2015-09-07 - 2015-09-11.
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Academic lectureCelledoni, Elena. (2015) Geometric Numerical Methods for Differential Equations in Applications of Computer Animation and Port-Hamiltonian Systems. Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series . ICMAT, Madrid; 2015-05-25 - 2015-05-28.
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Academic lectureCelledoni, Elena. (2015) Shape Analysis on Lie Groups. Gradient flows: from theory to application . Düring, Bertram, Schönlieb, Carola-Bibiane, Wolfram, Marie-T; ICMS, 15 South College Street, Edinburgh. 2015-04-20 - 2015-04-24.
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Academic lectureCelledoni, Elena. (2015) Shape analysis on Lie groups for computer animation. THE 2015 BLUENOSE APPLIED & COMPUTATIONAL M AT H DAY S Workshop . P. Muir, W. Enright, M. Gentelman; St. Mary University, Halifax, Canada. 2015-07-11 - 2015-07-12.
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Academic lectureCelledoni, Elena. (2015) Structure preserving integration of port-Hamiltonian systems. SciCADE ; 2015-09-14 - 2015-09-18.
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Academic lectureCelledoni, Elena. (2015) Structure preserving model reduction. MaGIC ; Myrkdalen. 2015-02-26 - 2015-03-01.
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Academic lectureOwren, Brynjulf; Celledoni, Elena. (2015) Structure-preserving discretization of differential equations. AARMS-PIMS Summer School in Differential Equations and Numerical Analysis . AARMS/PIMS; Halifax. 2015-07-06 - 2015-07-31.
2014
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Academic lectureCelledoni, Elena. (2014) Geometric properties of Kahan's method. International Conference on Geometric Algorithms and Methods for Plasma Physics . Hong Qin; USTC, Hefei, China, May 2014.. 2014-05-13 - 2014-05-15.
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Academic lectureCelledoni, Elena. (2014) Port Hamiltonian systems. MaGIC 2014 ; Meråker. 2014-02-24 - 2014-02-27.
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Academic lectureCelledoni, Elena. (2014) Scrtucture presevation of port-Hamiltonian systems. KCNADE 2014 . University of Kyoto; Kyoto. 2014-09-16 - 2014-09-20.
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LectureCelledoni, Elena. (2014) Structure preservation of port-Hamiltonian systems. Chineese Academy of Sciences ; Beijing. 2014-05-17 - 2014-05-17.
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Academic lectureCelledoni, Elena. (2014) Structure preservation of port-Hamiltonian systems. AIMS ; Madrid. 2014-07-07 - 2014-07-11.
2013
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Academic lectureCelledoni, Elena. (2013) Energy preservation for rigid body attitude dynanics with PID controls. Geometric Integration and Dynamical Systems ; La Trobe University, Melbourne. 2013-12-17.
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Academic lectureCelledoni, Elena. (2013) Geometric properties of the Kahan method. Integrable Algorithms: New Frontiers in Numerical Analysis . Allan Fordy; Leeds. 2013-03-15 - 2013-03-17.
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Academic lectureCelledoni, Elena. (2013) Integral preserving Lie group integrators. Norwegian-Chineese mathematics workshop . NTNU JE Forness; Trondheim. 2013-06-17 - 2013-06-30.
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Academic lectureCelledoni, Elena. (2013) Lie group methods. Nordic seminar in computational mechanics . Simula research laboratory; Oslo. 2013-10-23 - 2013-10-25.
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Academic lectureCelledoni, Elena. (2013) Passivity preserving methods. Geometric Integration and Discrete Integrability . Peter Van der Kamp; La Trobe University, Melbourne, Australia, December 2013.. 2013-12-17 - 2013-12-18.
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Academic lectureCelledoni, Elena. (2013) Preserving first integrals with Lie group integrators. SciCADE 2013 . Universitad det Valladolid; Valladolid. 2013-09-16 - 2013-09-20.
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. TNADE . ICMAT K Ebrahimi-Fard; Madrid. 2013-07-08 - 2013-07-12.
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. MAGiC . NTNU and UiB; Geilo. 2013-02-26 - 2013-03-01.
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics ; 2013-10-23 - 2013-10-25.
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Academic lectureOwren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 ; 2013-08-20 - 2013-08-30.
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Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. Magic 2013 . UiB, NTNU; Geilo. 2013-02-25 - 2013-03-01.
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Academic lectureRamzina, Nataliya; Celledoni, Elena. (2013) Time-efficient integrator for solving the marine vessel equations of motion by splitting schemes. Nordic seminar in Computational Mechanics . Simula Senter; Oslo. 2013-10-24 - 2013-10-25.
2012
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Academic lectureCelledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications . Ahmed SALAM et al.; CIRM, Lumini. 2012-10-08 - 2012-10-12.
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Academic lectureOwren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications . Ahmed SALAM et al.; CIRM, Lumini. 2012-10-08 - 2012-10-12.
2010
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Academic lectureCelledoni, Elena. (2010) Energy-preserving integrators. New geometric and numeric tools for the analysis of differential equations . Greg Reid; Banff. 2010-08-13 - 2010-08-15.
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Academic lectureCelledoni, Elena. (2010) Energy-preserving integrators. Combinatorics and Control conference . Kurusch Ebraimi Fard; La Cristalera. Miraflores de la Sierra. 2010-06-21 - 2010-06-25.
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Academic lectureCelledoni, Elena. (2010) On B-series and their structure-preserving properties. Combinatorics and Control . CISC; Madrid. 2010-04-06 - 2010-04-09.
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Academic lectureCelledoni, Elena. (2010) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the AVF method. TRAGIC . R. Quispel; Australia (Tasmania). 2010-12-12 - 2010-12-17.
2009
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Academic lectureCelledoni, Elena. (2009) B-series and their energy-preserving properties. Hairer 60 . M. Gander, C. Lubich, G. Wanner; Geneve. 2009-06-17 - 2009-06-21.
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Academic lectureCelledoni, Elena. (2009) B-series and their energy-preserving properties. SCICADE Beijing 2009 . Jialing Hong; Beijing. 2009-05-25 - 2009-05-29.
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Academic lectureCelledoni, Elena. (2009) On B-series and their structure preserving properties. MaGIC . UiB og NTNU; Hørnsjoen. 2009-03-03 - 2009-03-06.
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Academic lectureCelledoni, Elena; Säfström, Niklas. (2009) An elastic beam rod modell and its Hamiltonian structure. 7th International Conference of Numerical Analysis and Applied Mathematics . T.S. Simos; Crete. 2009-09-18 - 2009-09-22.
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Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of B-series for some classes of geometric integrators. 7th International Conference of Numerical Analysis and Applied Mathematics . T. E. Simos; Rethymno, Crete. 2009-09-18 - 2009-09-22.
2008
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Popular scientific lectureCelledoni, Elena. (2008) Energibevarende integrasjonsmetoder og B-rekker. KoMiN (Konferanse matematikkstudenter i Norge) . Anders Fosen, Hilde Kristine Hvidevold, Åsmund Kjørstad; Bergen. 2008-11-07 - 2008-11-09.
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Academic lectureCelledoni, Elena. (2008) Energy preserving Runge-Kutta and B-series methods. Seminar at the Department of Mathematics in Padova . Giancarlo Benettin; Padova. 2008-05-06 - 2008-05-06.
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Academic lectureCelledoni, Elena. (2008) Energy-preserving B-series methods: an overview. Workshop at Tsinghua University, Beijing . Professor Bau; Tsinghua University, Beijing. 2008-06-18 - 2008-06-18.
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Academic lectureCelledoni, Elena. (2008) Geometrically exact models of rods: Hamiltonian and multisymplectic structures. Seminar at the Department of Mathematics in Geneva . E. Hairer; Geneva. 2008-04-16.
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Academic lectureCelledoni, Elena. (2008) Hamiltonian structure of a geometrically exact rod model. Workshop at the Chinese Academy of Sciences . Jialing Hong; Beijing. 2008-06-12 - 2008-06-12.
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Academic lectureCelledoni, Elena. (2008) On a "geometrically exact" rod model and its formulation as an Hamiltonian PDE. Seminar at the Department of Mathematics in Massey University . Robert McLachlan; Massey University, Palmerston North. 2008-01-30.
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Academic lectureCelledoni, Elena. (2008) Semi-Lagrangian exponential integrators for convection dominated problems. IMATI Seminars . Annalisa Buffa; IMATI Pavia. 2008-10-23.
2007
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Academic lectureCelledoni, Elena. (2007) Descent methods for optimization on homogeneous manifolds. ERCIM working group in Matrix computations . Manfred Gilli; Geneve. 2007-04-20 - 2007-04-22.
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Academic lectureCelledoni, Elena. (2007) Energy-preserving B-series methods: high order AVF methods. Foundation of Computational Mathematics . Felipe Cucker; Hong Kong. 2007-06-16 - 2007-06-26.
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Academic lectureCelledoni, Elena. (2007) Eulerian and Semi-Lagrangian exponential integrators for convection dominated problems. Newton Institute: Effective computational methods for highly oscillatory problems . T. Hou, A. Iserles, B. Leimkhuler, C. Lubich; Cambridge. 2007-07-02.
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Academic lectureCelledoni, Elena. (2007) Eulerian and semi-Lagrangian exponential integrators. SciCADE 2007 . INRIA Rennes Frankrike; Saint Malo. 2007-07-09 - 2007-07-13.
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Academic lectureCelledoni, Elena. (2007) Simulating rigid body dynamics using Jacobi elliptic functions and integrals. Applying Geometric Integrators, ICMS Workshop . Ben Leimkhuler og Robert McLachlan; Edinburgh. 2007-04-23 - 2007-04-27.
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Academic lectureCelledoni, Elena. (2007) Simulating rigid body dynamics using elliptic functions and integrals. Newton Institute seminars . Arieh Iserles; Cabridge. 2007-05-30.
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Academic lectureZanna, Antonella; Celledoni, Elena. (2007) On the exact integration of Rigid Body equations. Applying Geometric Integrators . Leimkhuler, Ben and McLachlan, Robert; ICMS, 14 India Street, Edinburgh. 2007-04-24 - 2007-04-27.
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Academic lectureZanna, Antonella; Celledoni, Elena; Fasso, Francesco; Niklas, Säfstøm. (2007) Exact and approximate methods for the free rigid body. HOPw05 - Effective Computational Methods for Highly Oscillatory Problems: The Interplay between Mathematical Theory and Applications . A. Iserles; Isaac Newton Institute for Mathematical Sciences, Cambridge. 2007-07-04 - 2007-07-04.
2005
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Academic lectureCelledoni, Elena. (2005) Descent methods for optimization on Manifolds applied to Independent Component Analysis. Numerics on Manifolds . J.P. Dedieu, J.C: Yakoubson; Luminy. 2005-05-23 - 2005-05-27.
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Academic lectureCelledoni, Elena. (2005) Eulerian and semi-Lagrangian exponential integrators for convection dominated problems. Foundations of Computational Mathematics 2005 Workshop on Geometric Integration . Luis Pardo; Santander. 2005-06-30 - 2005-07-09.
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Academic lectureCelledoni, Elena. (2005) Semi-Lagrangian spectral element methods. Group theory and numerical analysis . Pavel Winternitz; Motreal. 2005-05-26 - 2005-05-30.
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Academic lectureCelledoni, Elena. (2005) Semi-Lagrangian spectral element methods. Workshop on Geometric Integration . A. Iserles; Cambridge, UK. 2005-04-23.
2004
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Academic lectureCelledoni, Elena. (2004) Lie group techniques in neural learning. Lie group methods and control theory . U. Helmke, D. Higham, A. Iserles, L. Lopez, S. Malham; Edinburg. 2004-06-28 - 2004-07-01.
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Academic lectureCelledoni, Elena. (2004) Parallelism in time for a time dependent Stokes problem. NA day . B. Orel; Ljubljana. 2004-06-06.
2003
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Academic lectureCelledoni, Elena. (2003) Application of Lie group methods to optimization problems. Foundations of computational mathematics: Workshop on Geometric Integration . P. Olver; Minneapolis. 2003-08-11.
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Academic lectureCelledoni, Elena. (2003) Commutator-free Lie group methods. SCICADE 2003: Workshop on Lie group methods . Brynjulf Owren; Trondheim. 2003-06-30.
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Academic lectureCelledoni, Elena. (2003) Semi-Lagrangian spectral element method. Numerical Analysis and Geometric Integration . B. Orel; Ljubljana. 2003-02-28.
2001
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Academic lectureCelledoni, Elena. (2001) Local coordinates for numerical integrators on manifolds. International Workshop on Structure-Preserving Algorithms . Jialing Hong; Beijing. 2001-03-31.
2000
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Academic lectureCelledoni, Elena. (2000) Numerical integration of ODEs on the Stiefel manifold. Research Symposium on Geometric Integration . Reinout Quispel; La Trobe University, Melbourne. 2000-12-16.