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Contemporary Mathematics and Its Applications, 2015, Volume 97, paper published in the English version journal (Mi cma418)  
Operator splitting for quasi-linear abstract hyperbolic equation

N. Dikhaminjiaa, D. L. Rogavaa, M. Tsiklaurib

a Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics
b Missouri University of Science and Technology
Abstract: We consider an abstract hyperbolic equation with a Lipschitz continuous operator, where the main operator is self-adjoint and positive definite and represents a sum of two similar operators. For this equation, we construct a decomposition scheme of high order of accuracy. This scheme is based on rational splitting of cosine-operator function.
English version:
Journal of Mathematical Sciences, 2016, Volume 218, Issue 6, Pages 737–741
DOI: https://doi.org/10.1007/s10958-016-3058-9
Document Type: Article
UDC: 517.9
Language: English
Citation: N. Dikhaminjia, D. L. Rogava, M. Tsiklauri, “Operator splitting for quasi-linear abstract hyperbolic equation”, Journal of Mathematical Sciences, 218:6 (2016), 737–741
Citation in format AMSBIB
\Bibitem{DikRogTsi15}
\by N.~Dikhaminjia, D.~L.~Rogava, M.~Tsiklauri
\paper Operator splitting for quasi-linear abstract hyperbolic equation
\jour Journal of Mathematical Sciences
\yr 2016
\vol 218
\issue 6
\pages 737--741
\mathnet{http://mi.mathnet.ru/cma418}
\crossref{https://doi.org/10.1007/s10958-016-3058-9}
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