Scientific reports by Brynjulf Owren

• Dahlby M., Owren B.,Yaguchi T., Preservation of multiple first integrals using discrete gradients [pdf]
• Dahlby M., Owren B., A general framework for deriving integralpreserving numerical methods for PDEs [pdf]
• Christiansen M., Munthe-Kaas H., Owren B. Topics in structure-preserving discretization Acta Numerica, 20 2011, pp 1-119.
• Celledoni E., McLachlan R.I., Owren B., and Quispel GRW: On conjugate B-series and their geometric structure [pdf]
• Celledoni E., Grimm V., McLachlan R.I. , McLaren D.I., O'Neale D.R.J., Owren B., and Quispel GRW: Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method [pdf]
• Celledoni E., McLachlan R.I., Owren B., and Quispel GRW: Energy-preserving integrators and the structure of B-series [pdf]
• Dahlby M., Owren B.: Plane wave stability of some conservative schemes for the cubic Schrödinger equation [pdf]
• Celledoni E., Mclachlan R., McLaren D., Owren B., Quispel R.: Energy-preserving Runge-Kutta methods [pdf]
• Cohen D., Owren B., Raynaud X.: Multi-symplectic integration of the Camassa-Holm equation [pdf]
• Celledoni E., Cohen D., Owren B.: Symmetric exponential integrators with an application to the cubic Schrödinger equation [pdf]
• Owren B.: Order conditions for commutator-free Lie group methods [pdf] [pdf]
• Berland H., Owren B. and Skaflestad B.: B-series and order conditions for exponential integrators [pdf]
• Berland H. and Owren B.: Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators [ps] [pdf]
• Kozlov R., Kværnø A. and Owren B.: The behaviour of the local error in splitting methods applied to stiff problems [ps] [pdf]
• Casas F. and Owren B.: Cost efficient Lie group integrators in the RKMK class [ps] [pdf]
• Celledoni E., Marthinsen A. and Owren B.: Commutator-free Lie group methods [ps]
• Celledoni E.,Owren B.: On the implementation of Lie group methods on the Stiefel manifold [pdf]
• Celledoni E., Owren B.: A class of low complexity intrinsic schemes for orthogonal integration [pdf].
• Celledoni E., Owren B.: Lie group methods for rigid body dynamics and time integration on manifolds [pdf]
• Kozlov R., Owren B. Order reduction in operator splitting methods [pdf]
• Owren B., Marthinsen A.: Integration methods based on canonical coordinates of the second kind [pdf] .
• Jackiewicz Z., Marthinsen A., Owren B.: Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order [pdf] .
• Marthinsen A., Owren B.: Quadrature methods based on the Cayley transform [pdf] .
• Marthinsen A. , Owren B., A Note on the Construction of Crouch-Grossman Methods [pdf].
• Munthe-Kaas H., Owren B.: Computations in a Free Lie Algebra [pdf]
• Owren B., Marthinsen A., Runge-Kutta Methods Adapted to Manifolds and Based on Rigid Frames [pdf] .
• Owren B., Welfert B. D., The Newton Iteration on Lie Groups [pdf]
• Marthinsen A., Munthe-Kaas H., Owren B.: Simulation of Ordinary Differential Equations on Manifolds - Some Numerical Experiments and Verifications [pdf].
• Ekeland K., Owren B., Øines E.: A New Stiffness Detection Scheme for Explicit Runge-Kutta Methods [pdf]
• Kværnø A., Nørsett S. P., Owren B.: Runge-Kutta Research in Trondheim [pdf]
• Jackiewicz Z., Owren B., Welfert B.: Pseudospectra of Waveform Relaxation Operators [pdf]
• Owren B., Simonsen H.H.: Alternative Integration Methods for Problems in Structural Dynamics [pdf]
• Owren B.: Stability of Runge-Kutta methods used in modular integration [pdf]
• D.J. Higham, Owren B., Non-normality effects in a discretized nonlinear reaction-convection-diffusion equation [pdf]
• Owren B., Zennaro M.: Derivation of Efficient Continuous Explicit Runge-Kutta Methods [pdf]
• Owren B., Seip K.: Some stability results for explicit Runge-Kutta methods [pdf]
• Owren B., Seip K.: A uniqueness result related to the stability of explicit Runge-Kutta methods [pdf]
• Muir, P., Owren B.: Order Barriers and Characterizations for Continuous Mono-Implicit Runge-Kutta Schemes [pdf]
• Owren B., Zennaro M.: Continuous Explicit Runge-Kutta methods [pdf]
• Owren B., Zennaro M.: Order barriers for continuous explicit Runge-Kutta methods [pdf]
• A Survey of the Explicit Runge-Kutta Method [pdf]
• PhD thesis: Continuous Explicit Runge-Kutta Methods with Applications to Ordinary and Delay differential equations [pdf]

• See also department reports