Eulerian and semi-Lagrangian schemes based on commutator-free exponential integrators
We consider commutator-free exponential integrators combined with splitting and applied to convection diffusion problems semidiscretized in space. Numerical results show improved accuracy of the new approach compared to other methods. Numerical dispersion is however experienced due to the classical Eulerian formulation of the problem. A semi-Lagrangian approach is proposed to take care of this drawback.
- E Celledoni
- SINTEF Digital / Mathematics and Cybernetics
American Mathematical Society
Group Theory and Numerical Analysis
77 - 90