NDLI: Factorized SM-stable two-level schemes

Content Provider	Springer Nature Link
Author	Vabishchevich, P. N.
Copyright Year	2010
Abstract	Additional requirements for unconditionally stable schemes were formulated by analyzing higher order accurate difference schemes in time as applied to boundary value problems for second-order parabolic equations. These requirements concern the inheritance of the basic properties of the differential problem and lead to the concept of an SM-stable difference scheme. An earlier distinguished class of SM-stable schemes consists of the schemes based on various Padé approximations. The computer implementation of such higher order accurate schemes deserves special consideration because certain matrix polynomials must be inverted at each new time level. Factorized SM-stable difference schemes are constructed that can be interpreted as diagonally implicit Runge-Kutta methods.
Starting Page	1818
Ending Page	1824
Page Count	7
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	50
Issue Number	11
e-ISSN	15556662
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-11-26
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cauchy problem first-order evolutionary equation operator-difference schemes stability Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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Factorized SM-stable two-level schemes