Brynjulf Owren
Background and activities
Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He belongs to the research group Differential Equations and Numerical Analysis.
Main area of research
Numerical analysis of ordinary and partial dfferential equations, initial value problems, integration methods for dfferential equations on manifolds (geometric integration). Mathematical modelling.
Academic degrees
- Doktoringeniør (PhD) in Numerical Analysis at the Norwegian Institute of Technology (NTH) (1990) Continuous Explicit Runge-Kutta Methods with Applications to Ordinary and Delay Differential Equations, advisor: Professor S.P. Nørsett.
- Sivilingeniør (Master of Science) in Physics and Mathematics at NTH, 1984. Main subject: Numerical mathematics. MSc thesis: Acoustic response in oil wells (in Norwegian).
Work experience
- 1994- current: Professor at the Department of Mathematical Sciences, NTNU
- 2012-2017: Vice Dean of Education at the Faculty of Information Technology and Electrical Engineering, NTNU.
- 1992-1993 Førsteamanuensis (Assistant professor) at the Department of Mathematics and Statistics, University of Trondheim
- 1990-1992 Postdoctoral fellow at Department of Computer Science, University of Toronto.
- 1990 Lecturer at the Norwegian Institute of Technology.
- 1987-1989 Ph.D. fellowship from NTH.
- 1986 Research assistant (vitenskapelig assistent) at Department of Mathematical Sciences, NTH.
- 1988-90 Research scientist (forsker), part time, at SINTEF Industrial Mathematics, Trondheim, Norway.
- 1985-1988 Research Geophysicist at SERES A/S, Trondheim, Norway.
- Supervised 10 PhD students (current and former) and 31 M.Sc. students.
Memberships, leadership experience (selection)
- President of the Norwegian Mathematical Council from 2015
- Member of Board of Directors of SEFI (European Society for Engineering Education) 2012-2015
- President of the Norwegian Mathematical Society 2007{2011 (board member since 2004)Council member of ECMI 2007{2011 (European Consortium for Mathematics in Industry).
- Leader of special year in Geometric Integration, Center for Advanced Study, Oslo, 2002-2003 (coorganised with Prof Munthe-Kaas, University of Bergen)
- Leader of 2004–2007, and of study programme in Physics and Math, NTNU, 2008–2012Board member of UNIK, 2015- (University Graduate Center at Kjeller)
- Board member of the Norwegian Mathematical Council
Some later research projects
- GALA. EU Sixth Framework Programme, STREP project 2006–2009. Leader for Trondheim node.
- 3D CSEM. Inversion and Modeling 2012–2015. Joint project between NTNU and the company EMGS.
- SPIRIT. Structure Preserving Integrators, discRete Integrable systems and algebraic combinaTorics. The Research Council of Norway, 2013–2017, Project leader.
See my CV for more detailed information.
Courses
- TMA4110 - Mathematics 3 - Linear algebra
- MA8404 - Numerical Integration of Time Dependent Differential Equations
Scientific, academic and artistic work
A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database
Journal publications
- (2022) Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics.
- (2022) Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics. vol. 448.
- (2021) An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids. vol. 33 (4).
- (2021) Structure preserving deep learning. European journal of applied mathematics.
- (2021) Equivariant neural networks for inverse problems. Inverse Problems. vol. 37 (8).
- (2021) Lie Group integrators for mechanical systems. International Journal of Computer Mathematics.
- (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation. vol. 89 (326).
- (2019) Deep learning as optimal control problems: models and numerical methods. Journal of Computational Dynamics. vol. 6 (2).
- (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation. vol. 89 (322).
- (2019) Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org.
- (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical. vol. 52 (31).
- (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
- (2019) Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical. vol. 52 (6).
- (2019) Variable step size commutator free Lie group integrators. Numerical Algorithms. vol. 82 (4).
- (2019) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms. vol. 81 (4).
- (2019) Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org.
- (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. vol. 52 (4).
- (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing. vol. 40 (6).
- (2018) The Magnus expansion and Post-Lie algebras. arXiv.org.
- (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications. vol. 7 (2).