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; Helgesen, Rita; Handal, Steffen; Randeberg, Lise Lyngsnes; Raustøl, Håkon. (2021) Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.)
Commentary

2015

Rønquist, Einar; Tråsdahl, Øystein. (2015) Minimal surface equation.
Academic chapter

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

Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing
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
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
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2012) On Pattern Selection in Three-Dimensional Benard-Marangoni Flows. Communications in Computational Physics
Academic article

2011

Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Spectral Element Method Used to Assess the Quality of a Global C^1 Map.
Academic chapter
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2011) High Order Polynomial Interpolation of Parameterized Curves.
Academic chapter
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case.
Academic chapter
Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2011) An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations.
Academic chapter
Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer
Anthology
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

2010

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
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
Research report
Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. Department of Mathematical Sciences, NTNU
Research report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. Department of Mathematical Sciences, NTNU
Research 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
Research report
Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar; Skjetne, Paal; Åstrand, Per-Olof; Nystad, Arild Normann. (2010) Computational Science and Engineering: Challenges and Opportunities. NTNU og SINTEF
Research report
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

2009

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; Rønquist, Einar. (2009) Simulation of three-dimensional Benard-Marangoni flows including deformed surfaces. Communications in Computational Physics
Academic article
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2009) Fast tensor-product solvers for partially deformed three-dimensional domains.
Academic chapter
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes.
Academic chapter
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
Academic article

2008

Maday, Yvon; Rønquist, Einar. (2008) Parallelization in time through tensor-product space-time solvers. Comptes rendus. Mathematique
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
Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar. (2008) Fast tensor-product solvers: partially deformed three-dimensional domains. Journal of Scientific Computing
Academic article

2007

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. (2007) The reduced basis element method for fluid flows.
Academic chapter

2006

Johansson, Peter Sassan; Andersson, Helge Ingolf; Rønquist, Einar. (2006) Reduced-basis modeling of turbulent plane channel flow. Computers & Fluids
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
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Modélisation mathématique et analyse numérique
Academic article

2005

Løvgren, Alf Emil; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems.
Academic chapter
Løvgren, Alf Emil; Rønquist, Einar. (2005) Reduced basis modeling of hierarchical flow systems. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis

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

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
Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing
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
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. (2006) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. MIC Journal: Modeling, Identification and Control
Academic article
Maday, Yvon; Rønquist, Einar. (2008) Parallelization in time through tensor-product space-time solvers. Comptes rendus. Mathematique
Academic article
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Modélisation mathématique et analyse numérique
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
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
Bjøntegaard, Tormod; Rønquist, Einar. (2012) Accurate interface-tracking of surfaces in three dimensions for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
Academic 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
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2009) GLOBAL C-1 MAPS ON GENERAL DOMAINS. Mathematical Models and Methods in Applied Sciences
Academic article
Maday, Yvon; Rønquist, Einar. (2002) A reduced-basis element method. Journal of 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
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
Bjøntegaard, Tormod; Rønquist, Einar. (2008) A high order splitting method for time-dependent domains. Computer Methods in Applied Mechanics and Engineering
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
Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar. (2008) Fast tensor-product solvers: partially deformed three-dimensional domains. Journal of Scientific Computing
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
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
Dahl, Geir; Munthe-Kaas, Antonella Zanna; Rønquist, Einar; Rypdal, Martin Wibe; Erfjord, Ingvald; Strømskag, Heidi; Helgesen, Rita; Handal, Steffen; Randeberg, Lise Lyngsnes; Raustøl, Håkon. (2021) Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.)
Commentary
Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics
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
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

Books

Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer
Anthology

Part of book/report

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

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
Research report
Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. Department of Mathematical Sciences, NTNU
Research report
Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. Department of Mathematical Sciences, NTNU
Research 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
Research report
Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar; Skjetne, Paal; Åstrand, Per-Olof; Nystad, Arild Normann. (2010) Computational Science and Engineering: Challenges and Opportunities. NTNU og SINTEF
Research report

Student thesis or dissertation

Løvgren, Alf Emil; Rønquist, Einar. (2005) Reduced basis modeling of hierarchical flow systems. Norges teknisk-naturvitenskapelige universitet
Doctoral thesis

Outreach

2016

Feature article

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