Email this article Operator Splitting for Quasi-Linear Abstract Hyperbolic Equation
- Authors: Dikhaminjia N.1,2, Rogava J.1,2, Tsiklauri M.3
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Affiliations:
- Iv. Javakhishvili Tbilisi State University
- I. Vekua Institute of Applied Mathematics
- EMC Laboratory, Missouri University of Science & Technology
- Issue: Vol 218, No 6 (2016)
- Pages: 737-741
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238301
- DOI: https://doi.org/10.1007/s10958-016-3058-9
- ID: 238301
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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.
About the authors
N. Dikhaminjia
Iv. Javakhishvili Tbilisi State University; I. Vekua Institute of Applied Mathematics
Email: jemal.rogava@tsu.ge
Georgia, Tbilisi; Tbilisi
J. Rogava
Iv. Javakhishvili Tbilisi State University; I. Vekua Institute of Applied Mathematics
Author for correspondence.
Email: jemal.rogava@tsu.ge
Georgia, Tbilisi; Tbilisi
M. Tsiklauri
EMC Laboratory, Missouri University of Science & Technology
Email: jemal.rogava@tsu.ge
United States, Rolla, Missouri
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