Computational decomposition and composition technique for approximate solution of nonstationary problems

DOI10.1016/j.cam.2024.116111zbMATH Open1542.65092MaRDI QIDQ6582068

P. N. Vabishchevich

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

splitting schemestability of difference schemesfirst-order evolutionary equationadditive splitting operator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

• Vector additive difference schemes for first-order evolution equations.
• Regularized additive full approximation schemes
• Vector domain decomposition schemes for parabolic equations
• Solution decomposition schemes for second-order evolution equations
• Subdomain solution decomposition method for nonstationary problems
• Explicit-implicit schemes for first-order evolution equations
• Splitting methods for solution decomposition in nonstationary problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Numerical Methods for Evolutionary Differential Equations
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region
• On the Construction and Comparison of Difference Schemes
• Difference schemes with domain decomposition for solving non-stationary problems
• Difference decomposition schemes based on splitting the solution and operator of the problem
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