High order methods for irreversible equations
Numerical Analysis
2014-10-21 v3
Abstract
In this work, we show high order splitting methods of integration without negative steps, allowing us to solve numerically irreversible problems, like reaction-diffusion equations. The methods consist in a suitable affine combinations of Lie-Trotter schemes with different steps. We prove convergence of this methods for a large class of semi-linear problems, that includes Hamiltonian and reaction-diffusion systems.
Cite
@article{arxiv.1310.3664,
title = {High order methods for irreversible equations},
author = {Mariano De Leo and Diego Rial and Constanza Sanchez de la Vega},
journal= {arXiv preprint arXiv:1310.3664},
year = {2014}
}
Comments
21 pages, 7 figures