Einar Malvin Rønquist

About

Einar Rønquist has been Head of Department at the Department of Mathematical Sciences since August 2013. He became a professor at the same department in 1999 and has held that position since. He belongs to the Differential equations and Numerical Analysis (DNA) group and was the group leader for this group 2010–2011.

Background

Einar Rønquist has a MSc degree (sivilingeniør) from the Norwegian University of Science and Technology (formerly Norwegian Institute of Technology – NTH) (1980) and a PhD from Massachusetts Institute of Technology – MIT (1988).

Research interests

Numerical solution of partial differential equations; spectral element methods; reduced basis methods; computational fluid dynamics.

Memberships

Member of NTVA – Norwegian Academy of Technological Sciences (since 2005).
Member of DNKVS – The Royal Norwegian Society of Sciences and Letters (since 2010).

Administrative and scientific leadership

Vice President of R&D at Nektonics, Inc, Massachusetts, USA, 1991-1999.
Daily leader of the Research Program in Computational Science and Visualization (BVV) at NTNU, 2003-2011, with responsibility for numerical methods.
Deputy Head of Department at the Department of Mathematical Sciences at NTNU, Fall 2012.
Head of Department at the Department of Mathematical Sciences at NTNU since August 1, 2013.

Students supervised

Supervised 8 PhD students and 25 MSc students

Editorial positions

Associate Editor of SIAM Journal on Scientific Computing

Publications

2021

Dahl, Geir; Munthe-Kaas, Antonella Zanna; Rønquist, Einar; Rypdal, Martin Wibe; Erfjord, Ingvald; Strømskag, Heidi. (2021) Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece

2016

Øien, Geir Egil; Breivik, Morten; Hergum, Ragnar; Ildstad, Erling; Jaccheri, Maria Letizia; Rønquist, Einar. (2016) Teknisk kybernetikk og elkraftteknikk må organiseres sammen med resten av NTNUs IKT- og elektrofag. Universitetsavisa
Feature article

2015

Rønquist, Einar; Tråsdahl, Øystein. (2015) Minimal surface equation. Springer
Academic chapter/article/Conference paper

2013

Eftang, Jens Lohne; Grepl, Martin A.; Patera, Anthony T.; Rønquist, Einar. (2013) Approximation of Parametric Derivatives by the Empirical Interpolation Method. Foundations of Computational Mathematics
Academic article

2012

Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2012) On Pattern Selection in Three-Dimensional Benard-Marangoni Flows. Communications in Computational Physics
Academic article
Bjøntegaard, Tormod; Rønquist, Einar. (2012) Accurate interface-tracking of surfaces in three dimensions for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
Academic article
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing
Academic article
Patera, Anthony T.; Rønquist, Einar. (2012) Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Comptes rendus. Mathematique
Academic article

2011

Tråsdahl, Øystein; Rønquist, Einar. (2011) High order numerical approximation of minimal surfaces. Journal of Computational Physics
Academic article
Kvarving, Arne Morten; Rønquist, Einar. (2011) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. Computers & Fluids
Academic article
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2011) High Order Polynomial Interpolation of Parameterized Curves. Springer
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case. Springer
Academic chapter/article/Conference paper
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2011) An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations. Springer
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Spectral Element Method Used to Assess the Quality of a Global C^1 Map. Springer
Academic chapter/article/Conference paper
Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer Lecture Notes in Computational Science and Engineering (1)
Academic anthology/Conference proceedings

2010

Eftang, Jens Lohne; Rønquist, Einar. (2010) EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD. Mathematical Models and Methods in Applied Sciences
Academic article
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2010) An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing
Academic article
Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. Department of Mathematical Sciences, NTNU
Report
Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar. (2010) Computational Science and Engineering: Challenges and Opportunities. NTNU og SINTEF
Report
Hysing, Ahlert; Krogstie, John; Natvig, Lasse; Rønquist, Einar; Jørgensen, Tore R.; Tjåland, Egil. (2010) Tung regning. ComputerWorld Norge
Interview Journal
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2010) An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing
Academic article

2006

Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Mathematical Modelling and Numerical Analysis
Academic article
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. MIC Journal: Modeling, Identification and Control
Academic article
Johansson, Peter Sassan; Andersson, Helge Ingolf; Rønquist, Einar. (2006) Reduced-basis modeling of turbulent plane channel flow. Computers & Fluids
Academic article

2005

Løvgren, Alf Emil; Rønquist, Einar. (2005) Reduced basis modeling of hierarchical flow systems. NTNU
Doctoral dissertation
Løvgren, Alf Emil; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. Tapir Akademisk Forlag
Academic chapter/article/Conference paper

2004

Maday, Yvon; Rønquist, Einar. (2004) The reduced basis method: application to a thermal fin problem. SIAM Journal on Scientific Computing
Academic article

2002

Maday, Yvon; Rønquist, Einar. (2002) A reduced-basis element method. Journal of Scientific Computing
Academic article

2001

Patera, Anthony; Rønquist, Einar. (2001) A general output bound result: application to discretization and iteration error estimation and control. Mathematical Models and Methods in Applied Sciences
Academic article

1996

Rønquist, Einar. (1996) Convection treatment using spectral elements of different order. International Journal for Numerical Methods in Fluids
Academic article

1994

Fischer, Paul; Rønquist, Einar. (1994) Spectral element methods for large scale parallel Navier-Stokes calculations. Computer Methods in Applied Mechanics and Engineering
Academic article

1990

Maday, Yvon; Patera, Anthony; Rønquist, Einar. (1990) Operator-integration-factor methods for time-dependent problems: application to incompressible fluid flows. Journal of Scientific Computing
Academic article

Journal publications

Dahl, Geir; Munthe-Kaas, Antonella Zanna; Rønquist, Einar; Rypdal, Martin Wibe; Erfjord, Ingvald; Strømskag, Heidi. (2021) Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Øien, Geir Egil; Breivik, Morten; Hergum, Ragnar; Ildstad, Erling; Jaccheri, Maria Letizia; Rønquist, Einar. (2016) Teknisk kybernetikk og elkraftteknikk må organiseres sammen med resten av NTNUs IKT- og elektrofag. Universitetsavisa
Feature article
Eftang, Jens Lohne; Grepl, Martin A.; Patera, Anthony T.; Rønquist, Einar. (2013) Approximation of Parametric Derivatives by the Empirical Interpolation Method. Foundations of Computational Mathematics
Academic article
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2012) On Pattern Selection in Three-Dimensional Benard-Marangoni Flows. Communications in Computational Physics
Academic article
Bjøntegaard, Tormod; Rønquist, Einar. (2012) Accurate interface-tracking of surfaces in three dimensions for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
Academic article
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing
Academic article
Patera, Anthony T.; Rønquist, Einar. (2012) Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Comptes rendus. Mathematique
Academic article
Tråsdahl, Øystein; Rønquist, Einar. (2011) High order numerical approximation of minimal surfaces. Journal of Computational Physics
Academic article
Kvarving, Arne Morten; Rønquist, Einar. (2011) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. Computers & Fluids
Academic article
Eftang, Jens Lohne; Rønquist, Einar. (2010) EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD. Mathematical Models and Methods in Applied Sciences
Academic article
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2010) An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing
Academic article
Hysing, Ahlert; Krogstie, John; Natvig, Lasse; Rønquist, Einar; Jørgensen, Tore R.; Tjåland, Egil. (2010) Tung regning. ComputerWorld Norge
Interview Journal
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2010) An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing
Academic article
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Simulation of three-dimensional Benard-Marangoni flows including deformed surfaces. Communications in Computational Physics
Academic article
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
Academic article
Bjøntegaard, Tormod; Maday, Y; Rønquist, Einar. (2009) Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains. Journal of Scientific Computing
Academic article
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2009) GLOBAL C-1 MAPS ON GENERAL DOMAINS. Mathematical Models and Methods in Applied Sciences
Academic article
Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar. (2008) Fast tensor-product solvers: partially deformed three-dimensional domains. Journal of Scientific Computing
Academic article
Bjøntegaard, Tormod; Rønquist, Einar. (2008) A high order splitting method for time-dependent domains. Computer Methods in Applied Mechanics and Engineering
Academic article
Maday, Yvon; Rønquist, Einar. (2008) Parallelization in time through tensor-product space-time solvers. Comptes rendus. Mathematique
Academic article
Patera, Anthony; Rønquist, Einar. (2007) Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Computer Methods in Applied Mechanics and Engineering
Academic article
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Mathematical Modelling and Numerical Analysis
Academic article
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. MIC Journal: Modeling, Identification and Control
Academic article
Johansson, Peter Sassan; Andersson, Helge Ingolf; Rønquist, Einar. (2006) Reduced-basis modeling of turbulent plane channel flow. Computers & Fluids
Academic article
Maday, Yvon; Rønquist, Einar. (2004) The reduced basis method: application to a thermal fin problem. SIAM Journal on Scientific Computing
Academic article
Maday, Yvon; Rønquist, Einar. (2002) A reduced-basis element method. Journal of Scientific Computing
Academic article
Patera, Anthony; Rønquist, Einar. (2001) A general output bound result: application to discretization and iteration error estimation and control. Mathematical Models and Methods in Applied Sciences
Academic article
Rønquist, Einar. (1996) Convection treatment using spectral elements of different order. International Journal for Numerical Methods in Fluids
Academic article
Fischer, Paul; Rønquist, Einar. (1994) Spectral element methods for large scale parallel Navier-Stokes calculations. Computer Methods in Applied Mechanics and Engineering
Academic article
Maday, Yvon; Patera, Anthony; Rønquist, Einar. (1990) Operator-integration-factor methods for time-dependent problems: application to incompressible fluid flows. Journal of Scientific Computing
Academic article

Books

Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer Lecture Notes in Computational Science and Engineering (1)
Academic anthology/Conference proceedings

Part of book/report

Rønquist, Einar; Tråsdahl, Øystein. (2015) Minimal surface equation. Springer
Academic chapter/article/Conference paper
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2011) High Order Polynomial Interpolation of Parameterized Curves. Springer
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case. Springer
Academic chapter/article/Conference paper
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2011) An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations. Springer
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Spectral Element Method Used to Assess the Quality of a Global C^1 Map. Springer
Academic chapter/article/Conference paper
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Tapir Akademisk Forlag
Academic chapter/article/Conference paper
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2009) Fast tensor-product solvers for partially deformed three-dimensional domains. Tapir Akademisk Forlag
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2007) The reduced basis element method for fluid flows. Birkhäuser Verlag
Academic chapter/article/Conference paper
Løvgren, Alf Emil; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. Tapir Akademisk Forlag
Academic chapter/article/Conference paper

Report

Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains. Department of Mathematical Sciences, NTNU
Report
Kvarving, Arne Morten; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. Department of Mathematical Sciences, NTNU
Report
Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar. (2010) Computational Science and Engineering: Challenges and Opportunities. NTNU og SINTEF
Report
Løvgren, Alf Emil; Rønquist, Einar. (2005) Reduced basis modeling of hierarchical flow systems. NTNU
Doctoral dissertation

Media

2012

Academic lecture

Patera, Anthony T.; Penn, James; Rønquist, Einar; Tonn, Timo. (2012) Regression on Parametric Manifolds: Validation and Prediction from Noisy Data. University of Munster and University of Ulm MoRePas II , Gunzburg 2012-10-02 - 2012-10-05

2009

Academic lecture

Eftang, Jens Lohne; Patera, Anthony; Rønquist, Einar. (2009) An hp reduced basis method for parametrized partial differential equations. Department of Mathematical Sciences, NTNU International Conference on Spectral and High Order Methods , Trondheim 2009-06-22 - 2009-06-26
Academic lecture

Bjøntegaard, Tormod; Kvarving, Arne Morten; Rønquist, Einar. (2009) Tensor-product solvers for partially deformed three-dimensional domains. Department of Mathematical Sciences, NTNU International Conference on Spectral and High Order Methods , Trondheim 2009-06-22 - 2009-06-26
Academic lecture

Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2009) High order polynmial approximations in deformed domains: an optimal point distribution. Department of Mathematical Sciences, NTNU International Conference on Spectral and High Order Methods , Trondheim 2009-06-22 - 2009-06-26
Academic lecture

Rønquist, Einar. (2009) High order polynomial approximations in deformed domains: optimal point distributions. DTU (Danmarks Tekniske Universitet) Faglig foredrag , København 2009-11-10 - 2009-11-10

2008

Academic lecture

Bjøntegaard, Tormod; Rønquist, Einar. (2008) High order splitting methods for time-dependent domains. Norwegian University of Science and Technology (NTNU) 21st Nordic Seminar on Computational Mechanics , Trondheim 2008-10-16 - 2008-10-17
Academic lecture

Bjøntegaard, Tormod; Kvarving, Arne Morten; Rønquist, Einar. (2008) Fast tensor-product solvers for partially deformed three-dimensional domains. Norwegian University of Science and Technology (NTNU) 21st Nordic Seminar on Computational Mechanics , Trondheim 2008-10-16 - 2008-10-17
Academic lecture

Patera, Anthony; Rønquist, Einar. (2008) Reduced basis approximation and a posteriori error estimation for a Boltzmann problem. Center for Biomedical Computing Workshop on the Reduced Basis Method , Simula Research Laboratory 2008-05-09 - 2008-05-09
Academic lecture

Rønquist, Einar. (2008) Tensor product solvers. Norwegian University of Science and Technology (NTNU) PARA 08 , Trondheim 2008-05-13 - 2008-05-16

2007

Academic lecture

Rønquist, Einar. (2007) High order methods for incompressible flows: Application to hierarchical flow systems and moving boundary problems. Centre of Mathematics for Applications (CMA), UiO Interplay between representation of geometry and numerical solution of partial differential equations , CMA, Blindern, Oslo 2007-02-15 - 2007-02-16
Academic lecture

Rønquist, Einar. (2007) Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Laboratoire Jaques Louis Lions Seminar of the Laboratoire Jacques-Louis Lions , Universite Pierre et Marie Curie 2007-04-27 - 2007-04-27
Academic lecture

Rønquist, Einar. (2007) High order methods for incompressible fluid flow: Application to moving boundary problems. Inst. of Comput. Mathematics, Chinese Academy of Sciences International Conference on Spectral and High Order Methods (ICOSAHOM) , Beijing 2007-06-18 - 2007-06-22
Academic lecture

Rønquist, Einar; Bjøntegaard, Tormod. (2007) High order methods for incompressible fluid flow: Application to free surface problems. NTNU MekIT'07 Fourth national conference on computational mechanics , Trondheim 2007-05-23 - 2007-05-24

2006

Academic lecture

Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for complex fluid systems. TU Delft European conference on computational fluid dynamics , Egmond aan Zee 2006-09-05 - 2006-09-08
Academic lecture

Patera, Anthony; Rønquist, Einar. (2006) A reduced basis method for the Boltzmann equation. Professor George Karniadakis, Brown University, USA Scientific Computing Seminar , Brown University, Providence, RI 2006-04-14 - 2006-04-14
Academic lecture

Rønquist, Einar. (2006) The reduced basis element method. Lund Tekniska Høgskola 19th Nordic Seminar on Computational Mechanics , Lund 2006-10-20 - 2006-10-21

2005

Academic lecture

Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. SIMS - Scandinavian Simulation Society SIMS 2005 - Scandinavian Conference on Simulation and Modeling , Trondheim 2005-10-13 - 2005-10-14

2004

Academic lecture

Andersson, Helge Ingolf; Drabløs, Finn; Drange, Helge; Elster, Anne Cathrine; Omre, Henning; Pettersen, Bjørnar. (2004) Position Paper Computional Science. NTNU InfoSam2020 , Trondheim 2004-04-19 - 2004-04-20

2003

Academic lecture

Rønquist, Einar. (2003) Spectral element methods. Second national conference on computational mechanics , Trondheim 2003-05-09 -
Academic lecture

Rønquist, Einar. (2003) The spectral element method. Uppsala universitet , Uppsala, Sweden 2003-11-19 -
Academic lecture

Rønquist, Einar. (2003) The spectral element method. KTH , Stockholm, Sweden 2003-11-20 -
Academic lecture

Rønquist, Einar. (2003) The reduced basis element method. SciCADE Scientific Computing and Differential Equations , Trondheim, Norway 2003-07-04 -

Språkvelger

Einar Malvin Rønquist