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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 262–266
(Mi zvmmf703)
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This article is cited in 1 scientific paper (total in 1 paper)
Splitting of evolutionary equations on the basis of diagonal implicit methods of the third order
N. V. Shirobokov Southern Ural State University
Abstract:
New third-order splitting methods for partial differential equations of the evolutionary type in a three-dimensional space are presented. The methods are derived on the basis of diagonally implicit three-stage methods used for numerically solving stiff ordinary differential equations. For the methods to be third-order accurate, the coefficients of the methods must satisfy some previously known and additional conditions.
Key words:
evolutionary equations, diagonally implicit methods, third-order accurate splitting methods, stiff systems of ordinary differential equations.
Received: 22.12.2003 Revised: 11.05.2004
Citation:
N. V. Shirobokov, “Splitting of evolutionary equations on the basis of diagonal implicit methods of the third order”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 262–266; Comput. Math. Math. Phys., 45:2 (2005), 251–255
Linking options:
https://www.mathnet.ru/eng/zvmmf703 https://www.mathnet.ru/eng/zvmmf/v45/i2/p262
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