%0 Journal Article
%T High order methods for irreversible equations
%A Mariano De Leo
%A Diego Rial
%A Constanza Sanchez de la Vega
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.3664v3