Einar 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.).
2016
- 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. Universitetsavisa.
2015
- Rønquist, Einar; Tråsdahl, Øystein. (2015) Minimal surface equation. Encyclopedia of Applied and Computational Mathematics.
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. volum 13 (5).
2012
- Bjøntegaard, Tormod; Rønquist, Einar. (2012) Accurate interface-tracking of surfaces in three dimensions for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics. volum 231 (19).
- Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing. volum 52 (3).
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2012) On Pattern Selection in Three-Dimensional Benard-Marangoni Flows. Communications in Computational Physics. volum 11 (3).
- Patera, Anthony T.; Rønquist, Einar. (2012) Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Comptes rendus. Mathematique. volum 350 (9-10).
2011
- Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2011) High Order Polynomial Interpolation of Parameterized Curves. Spectral and High Order Methods for Partial Differential Equations.
- Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2011) An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations. Spectral and High Order Methods for Partial Differential Equations.
- Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer. 2011. ISBN 978-3-642-15336-5. Lecture Notes in Computational Science and Engineering (1).
- 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. volum 52.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case. Spectral and High Order Methods for Partial Differential Equations.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Spectral Element Method Used to Assess the Quality of a Global C^1 Map. Spectral and High Order Methods for Partial Differential Equations.
- Tråsdahl, Øystein; Rønquist, Einar. (2011) High order numerical approximation of minimal surfaces. Journal of Computational Physics. volum 230 (12).
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. volum 32 (6).
- 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. volum 32 (6).
- Eftang, Jens Lohne; Rønquist, Einar. (2010) EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD. Mathematical Models and Methods in Applied Sciences. volum 20 (3).
- Hysing, Ahlert; Krogstie, John; Natvig, Lasse; Rønquist, Einar; Jørgensen, Tore R.; Tjåland, Egil; Iversen, Trond; Koster, Jacko. (2010) Tung regning. ComputerWorld Norge. volum 27 (2).
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains. 2010.
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. 2010.
- Kvarving, Arne Morten; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. 2010.
- 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. 2010. ISBN 978-82-995202-0-1.
- Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. 2010.
2009
- Bjøntegaard, Tormod; Maday, Y; Rønquist, Einar. (2009) Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains. Journal of Scientific Computing. volum 39 (1).
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics. volum 228 (12).
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. MekIT'09 : Fifth National Conference on Computational Mechanics, Trondheim 26-27 May 2009.
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Simulation of three-dimensional Benard-Marangoni flows including deformed surfaces. Communications in Computational Physics. volum 5 (2-4).
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2009) Fast tensor-product solvers for partially deformed three-dimensional domains. MekIT'09 : Fifth National Conference on Computational Mechanics, Trondheim 26-27 May 2009.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2009) GLOBAL C-1 MAPS ON GENERAL DOMAINS. Mathematical Models and Methods in Applied Sciences. volum 19 (5).
2008
- Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar. (2008) Fast tensor-product solvers: partially deformed three-dimensional domains. Journal of Scientific Computing.
- Bjøntegaard, Tormod; Rønquist, Einar. (2008) A high order splitting method for time-dependent domains. Computer Methods in Applied Mechanics and Engineering. volum 197.
- Maday, Yvon; Rønquist, Einar. (2008) Parallelization in time through tensor-product space-time solvers. Comptes rendus. Mathematique. volum 346.
2007
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2007) The reduced basis element method for fluid flows. Analysis and Simulation of Fluid Dynamics.
- Patera, Anthony; Rønquist, Einar. (2007) Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Computer Methods in Applied Mechanics and Engineering. volum 196.
2006
- Johansson, Peter Sassan; Andersson, Helge Ingolf; Rønquist, Einar. (2006) Reduced-basis modeling of turbulent plane channel flow. Computers & Fluids. volum 35 (2).
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Mathematical Modelling and Numerical Analysis. volum 40 (3).
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. Modeling, Identification and Control. volum 27 (2).
2005
- Løvgren, Alf Emil; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. SIMS 2005 46th Conference on Simulation and Modeling.
2004
- Maday, Yvon; Rønquist, Einar. (2004) The reduced basis method: application to a thermal fin problem. SIAM Journal on Scientific Computing. volum 26 (1).
2002
- Maday, Yvon; Rønquist, Einar. (2002) A reduced-basis element method. Journal of Scientific Computing. volum 17 (1-4).
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. volum 11 (4).
1996
- Rønquist, Einar. (1996) Convection treatment using spectral elements of different order. International Journal for Numerical Methods in Fluids. volum 22.
1994
- Fischer, Paul; Rønquist, Einar. (1994) Spectral element methods for large scale parallel Navier-Stokes calculations. Computer Methods in Applied Mechanics and Engineering. volum 116.
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. volum 5 (4).
Journal publications
- 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.).
- 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. Universitetsavisa.
- 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. volum 13 (5).
- Bjøntegaard, Tormod; Rønquist, Einar. (2012) Accurate interface-tracking of surfaces in three dimensions for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics. volum 231 (19).
- Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2012) Spectral Approximation of Partial Differential Equations in Highly Distorted Domains. Journal of Scientific Computing. volum 52 (3).
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2012) On Pattern Selection in Three-Dimensional Benard-Marangoni Flows. Communications in Computational Physics. volum 11 (3).
- Patera, Anthony T.; Rønquist, Einar. (2012) Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Comptes rendus. Mathematique. volum 350 (9-10).
- 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. volum 52.
- Tråsdahl, Øystein; Rønquist, Einar. (2011) High order numerical approximation of minimal surfaces. Journal of Computational Physics. volum 230 (12).
- 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. volum 32 (6).
- 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. volum 32 (6).
- Eftang, Jens Lohne; Rønquist, Einar. (2010) EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD. Mathematical Models and Methods in Applied Sciences. volum 20 (3).
- Hysing, Ahlert; Krogstie, John; Natvig, Lasse; Rønquist, Einar; Jørgensen, Tore R.; Tjåland, Egil; Iversen, Trond; Koster, Jacko. (2010) Tung regning. ComputerWorld Norge. volum 27 (2).
- Bjøntegaard, Tormod; Maday, Y; Rønquist, Einar. (2009) Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains. Journal of Scientific Computing. volum 39 (1).
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. Journal of Computational Physics. volum 228 (12).
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Simulation of three-dimensional Benard-Marangoni flows including deformed surfaces. Communications in Computational Physics. volum 5 (2-4).
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2009) GLOBAL C-1 MAPS ON GENERAL DOMAINS. Mathematical Models and Methods in Applied Sciences. volum 19 (5).
- Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar. (2008) Fast tensor-product solvers: partially deformed three-dimensional domains. Journal of Scientific Computing.
- Bjøntegaard, Tormod; Rønquist, Einar. (2008) A high order splitting method for time-dependent domains. Computer Methods in Applied Mechanics and Engineering. volum 197.
- Maday, Yvon; Rønquist, Einar. (2008) Parallelization in time through tensor-product space-time solvers. Comptes rendus. Mathematique. volum 346.
- Patera, Anthony; Rønquist, Einar. (2007) Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Computer Methods in Applied Mechanics and Engineering. volum 196.
- Johansson, Peter Sassan; Andersson, Helge Ingolf; Rønquist, Einar. (2006) Reduced-basis modeling of turbulent plane channel flow. Computers & Fluids. volum 35 (2).
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem. Mathematical Modelling and Numerical Analysis. volum 40 (3).
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2006) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. Modeling, Identification and Control. volum 27 (2).
- Maday, Yvon; Rønquist, Einar. (2004) The reduced basis method: application to a thermal fin problem. SIAM Journal on Scientific Computing. volum 26 (1).
- Maday, Yvon; Rønquist, Einar. (2002) A reduced-basis element method. Journal of Scientific Computing. volum 17 (1-4).
- 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. volum 11 (4).
- Rønquist, Einar. (1996) Convection treatment using spectral elements of different order. International Journal for Numerical Methods in Fluids. volum 22.
- Fischer, Paul; Rønquist, Einar. (1994) Spectral element methods for large scale parallel Navier-Stokes calculations. Computer Methods in Applied Mechanics and Engineering. volum 116.
- Maday, Yvon; Patera, Anthony; Rønquist, Einar. (1990) Operator-integration-factor methods for time-dependent problems: application to incompressible fluid flows. Journal of Scientific Computing. volum 5 (4).
Report/dissertation
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains. 2010.
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2010) On pattern selection in three-dimensional Bénard-Marangoni flows. 2010.
- Kvarving, Arne Morten; Rønquist, Einar. (2010) A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation. 2010.
- 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. 2010. ISBN 978-82-995202-0-1.
- Tråsdahl, Øystein; Rønquist, Einar. (2010) High order numerical approximation of minimal surfaces. 2010.
Part of book/report
- Rønquist, Einar; Tråsdahl, Øystein. (2015) Minimal surface equation. Encyclopedia of Applied and Computational Mathematics.
- Bjøntegaard, Tormod; Rønquist, Einar; Tråsdahl, Øystein. (2011) High Order Polynomial Interpolation of Parameterized Curves. Spectral and High Order Methods for Partial Differential Equations.
- Eftang, Jens Lohne; Patera, Anthony T.; Rønquist, Einar. (2011) An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations. Spectral and High Order Methods for Partial Differential Equations.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case. Spectral and High Order Methods for Partial Differential Equations.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2011) The Spectral Element Method Used to Assess the Quality of a Global C^1 Map. Spectral and High Order Methods for Partial Differential Equations.
- Bjøntegaard, Tormod; Rønquist, Einar. (2009) Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes. MekIT'09 : Fifth National Conference on Computational Mechanics, Trondheim 26-27 May 2009.
- Kvarving, Arne Morten; Bjøntegaard, Tormod; Rønquist, Einar. (2009) Fast tensor-product solvers for partially deformed three-dimensional domains. MekIT'09 : Fifth National Conference on Computational Mechanics, Trondheim 26-27 May 2009.
- Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar. (2007) The reduced basis element method for fluid flows. Analysis and Simulation of Fluid Dynamics.
- Løvgren, Alf Emil; Rønquist, Einar. (2005) A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems. SIMS 2005 46th Conference on Simulation and Modeling.
Books
- Hesthaven, Jan S.; Rønquist, Einar. (2011) Spectral and High Order Methods for Partial Differential Equations. Springer. 2011. ISBN 978-3-642-15336-5. Lecture Notes in Computational Science and Engineering (1).