Håvard Berland

: PhD numerical analysis 2006, Department of Mathematics, Norwegian University of Science and Technology, Trondheim. Supervisor Brynjulf Owren.
: berland < @ > pvv.ntnu.no

Publications

PhD-thesis: Lie group and exponential integrators: Theory, implementation, and applications. Doctoral theses at NTNU, 2006:106
Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators, with Brynjulf Owren. CRM Proceedings and Lecture Notes, volume 39, 2005. Preprint: [PDF]
B-series and order conditions for exponential integrators, with Brynjulf Owren and Bård Skaflestad. SIAM Journal of Numerical Analysis, 43(4):1715–1727, 2005. Preprint: [PDF]
Expint — A Matlab package for exponential integrators, with Bård Skaflestad and Will Wright. ACM Transactions on Mathematical Software, 33(1), 2007. Preprint: [PDF] [WEBPAGE]
Solving the nonlinear Schrödinger equation using exponential integrators, with Bård Skaflestad. Proceedings SIMS 2005 46th Conference on Simulation and Modeling, pages 9–18. Trondheim, Norway. Preprint: [PDF]
Conservation of phase space properties using exponential integrators on the cubic Schrödinger equation, with Alvaro L. Islas and Constance M. Schober. Journal of Computational Physics, 255(1):284-299 (2007). Preprint: [PDF]
Generalized affine groups for exponential integrators. Technical Report No. 2/2006, Department of Mathematical Sciences, NTNU.