Operator Splitting for Quasi-Linear Abstract Hyperbolic Equation

被引:0
|
作者
Dikhaminjia N. [1 ,2 ]
Rogava J. [1 ,2 ]
Tsiklauri M. [3 ]
机构
[1] Iv. Javakhishvili Tbilisi State University, Tbilisi
[2] I. Vekua Institute of Applied Mathematics, Tbilisi
[3] EMC Laboratory, Missouri University of Science & Technology, Rolla, MO
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D O I
10.1007/s10958-016-3058-9
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摘要
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. © 2016, Springer Science+Business Media New York.
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页码:737 / 741
页数:4
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