NDLI: Regularized additive operator-difference schemes

Content Provider	Springer Nature Link
Author	Vabishchevich, P. N.
Copyright Year	2010
Abstract	The construction of additive operator-difference (splitting) schemes for the approximate solution Cauchy problem for the first-order evolutionary equation is considered. Unconditionally stable additive schemes are constructed on the basis of the Samarskii regularization principle for operator-difference schemes. In the case of arbitrary multicomponent splitting, these schemes belong to the class of additive full approximation schemes. Regularized additive operator-difference schemes for evolutionary problems are constructed without the assumption that the regularizing operator and the operator of the problem are commutable. Regularized additive schemes with double multiplicative perturbation of the additive terms of the problem’s operator are proposed. The possibility of using factorized multicomponent splitting schemes, which can be used for the approximate solution of steadystate problems (finite difference relaxation schemes) are discussed. Some possibilities of extending the proposed regularized additive schemes to other problems are considered.
Starting Page	428
Ending Page	436
Page Count	9
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	50
Issue Number	3
e-ISSN	15556662
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-04-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	first-order evolutionary equation operator-difference schemes stability additive schemes regularization of finite difference schemes Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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