SPLITTING SCHEMES FOR EVOLUTION EQUATIONS WITH FACTORIZED OPERATOR

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Abstract

In the approximate solution of the Cauchy problem for evolution equations, the problem operator can often be represented as a sum of simpler operators. This makes it possible to construct operatordifference splitting schemes, when the transition to a new level in time is provided by solving problems for separate operator summands. We consider nonstationary problems, the main feature of which is related to the representation of the problem operator as a product of the operator

About the authors

P. N. Vabishchevich

Lomonosov Moscow State University; North-Caucasus Federal University

Email: vab@cs.msu.ru
Moscow, Russia; Stavropol, Russia

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