High order methods for irreversible equations

Autor:	De Leo, Mariano, Rial, Diego, de la Vega, Constanza Sanchez
Rok vydání:	2013
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.3664 Zobrazit plný text záznamu View this record from Arxiv