Project news
September 14, 2006
Håvard Berland defended his PhD-thesis on the 14th of September 2006.
September 5, 2006
Bård Skaflestad gave a talk at the minisymposium on exponential integrators at Numdiff 11 in Halle, Germany.
June 19, 2006
Two new preprints available, "Conservation of phase space properties using exponential integrators on the cubic Schrödinger equation", No. 1/2006 and "Generalized affine groups for exponential integrators", No. 2/2006.
March 12, 2006
The group participated in organizing the workshop MaGiC 2006 at Ustaoset, Norway. Brynjulf, Bård and Håvard gave talks.
Project introduction
Exponential integrators is a class of integrators for nonlinear systems of ordinary differential equations. We split the equation in a linear term and a nonlinear term,
The linear L operator is assumed stiff, thereby posing problems for ordinary classic solvers, as they usually need implicit treatment, which is problematic for nonlinear equations. Exponential integrators treat the linear part exactly, thus making it possible to use high order explicit methods.
Our project aims at understanding exponential integrators and to develop new and better schemes of this type suitable for a variety of differential equations, in particular semi-discretised PDEs.
Updated 2006-09-16