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arXiv · 1005.2086

On a new class of additive (splitting) operator-difference schemes

Petr N. Vabishchevich
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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.

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Petr N. Vabishchevich. 2010-05-12. On a new class of additive (splitting) operator-difference schemes. https://arxiv.org/abs/1005.2086

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