On the solution of evolution equations based on multigrid and explicit iterative methods

DOI10.1134/S0965542515080151zbMath1327.65189OpenAlexW2173496230MaRDI QIDQ889227

N. D. Novikova, O. B. Feodoritova, V. T. Zhukov

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515080151

zbMATH Keywords

stabilityconvergencefinite difference methodnumerical examplesmultigrid methodinitial boundary value problemanisotropic discontinuous coefficientsexplicit iterative scheme with Chebyshev parametersthree-dimensional parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) PDEs with low regular coefficients and/or low regular data (35R05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• Multigrid method for elliptic equations with anisotropic discontinuous coefficients
• Explicit iterative difference schemes for parabolic equations
• ITERATIVE METHODS FOR ELLIPTIC DIFFERENCE EQUATIONS
• A relaxation method for solving elliptic difference equations
• Ordering of the iterative parameters in the cyclical Chebyshev iterative method
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