Three-level scheme for solving parabolic and elliptic equations

DOI10.1134/S1064562415030199zbMath1325.65145OpenAlexW2261601415MaRDI QIDQ498204

Valeri Saveliev, Nicola D'Ascenzo, Boris N. Chetverushkin

Publication date: 28 September 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415030199

zbMATH Keywords

stabilityfinite difference methodparallel computationparabolic equationPoisson equationelliptic equationartificial hyperbolization techniquethree-level scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• Explicit schemes and numerical simulation using ultrahigh-performance computer systems
• Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
• Kinetic schemes and quasi-gas-dynamic system of equations

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