## Brynjulf Owren

Professor. Vice Dean for Education Department of Mathematical Sciences IME faculty administrationbrynjulf.owren@math.ntnu.no +47 73593518 +47 93021641

Alfred Getz vei 1, Sentralbygg II*1350

### Background and activities

Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He is currently Vice Dean of Education at the Faculty of Information Technology, Mathematics, and Electrical Engineering, NTNU. He has held this position since August 2012.

### 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

- 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)

- Member of Administrative Council of SEFI (European Society for Engineering Education)
- 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.

### 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

- (2015) Discretization of polynomial vector fields by polarization. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences.
- (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. vol. 257, Part B.
- (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical. vol. 47 (36).
- (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. vol. 34 (3).
- (2014) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation. vol. 83 (288).
- (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical. vol. 46 (2).
- (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics. vol. 231 (20).
- (2011) Topics in structure-preserving discretization. Acta Numerica. vol. 20.
- (2011) A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM Journal on Scientific Computing. vol. 33 (5).
- (2011) Preserving multiple first integrals by discrete gradients. Journal of Physics A: Mathematical and Theoretical. vol. 44 (30).
- (2010) Energy-Preserving Integrators and the Structure of B-series. Foundations of Computational Mathematics. vol. 10 (6).
- (2010) On conjugate B-series and their geometric structure. On conjugate B-series and their geometric structure. Journal on Numerical Analysis Industrial and Applied Mathematics. vol. 5 (1-2).
- (2009) Energy-preserving Runge-Kutta methods. Mathematical Modelling and Numerical Analysis. vol. 43 (4).
- (2009) Structure of B-series for some classes of Geometric Integrators. Structure of B-series for some classes of Geometric Integrators. AIP Conference Proceedings. vol. 1168.
- (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Mathematical Modelling and Numerical Analysis. vol. 43 (4).
- (2008) Symmetric exponential integrators for the nonlinear Schroedinger equation. Foundations of Computational Mathematics. vol. 8.
- (2008) Symplectic integration of the Carnassa-Holm equation. Journal of Computational Physics. vol. 227.
- (2008) Multi-symplectic integration of the Camassa–Holm equation. Multi-symplectic integration of the Camassa–Holm equation. Journal of Computational Physics. vol. 227 (11).
- (2006) Solving the nonlinear Schrodinger equation using exponential integrators. Modeling, Identification and Control. vol. 27 (4).
- (2006) Order conditions for commutator-free Lie group methods. Order conditions for commutator-free Lie group methods. Journal of Physics A: Mathematical and General. vol. 39 (19).