TITLE

EXPLICIT-IMPLICIT SPLITTING SCHEMES FOR SOME SYSTEMS OF EVOLUTIONARY EQUATIONS

AUTHOR(S)
GASPAR, FRANCISCO; GRIGORIEV, ALEXANDER; VABISHCHEVICH, PETR
PUB. DATE
April 2014
SOURCE
International Journal of Numerical Analysis & Modeling;2014, Vol. 11 Issue 2, p346
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In many applied problems, the individual components of the unknown vector are interconnected and therefore splitting schemes are applied in order to get a simple problem for evaluating unknowns at a new time level. On the basis of additive schemes (splitting schemes), there are constructed efficient computational algorithms for numerical solving the initial value problems for systems of time-dependent PDEs. The present paper deals with computational algorithms that are based on using explicit-implicit approximations in time. Typically, additive operator-difference schemes for systems of evolutionary equations are constructed for operators that are coupled in space. Here we investigate more general problems, where we have coupling of derivatives in time for components of the solution vector.
ACCESSION #
94876754

 

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