On a new class of additive (splitting) operator-difference schemes
Numerical Analysis
2010-05-13 v1 Numerical Analysis
Abstract
Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and associated with the transition to a new time level on the basis of the solution of more simple problems for the individual operators in the additive decomposition. We consider a new class of additive schemes for problems with additive representation of the operator at the time derivative. In this paper we construct and study the vector operator-difference schemes, which are characterized by a transition from one initial the evolution equation to a system of such equations.
Cite
@article{arxiv.1005.2086,
title = {On a new class of additive (splitting) operator-difference schemes},
author = {Petr N. Vabishchevich},
journal= {arXiv preprint arXiv:1005.2086},
year = {2010}
}