scientific article; zbMATH DE number 3994964

zbMath0614.65096MaRDI QIDQ4721569

V. S. Ryaben'kii, Sergei Konstantinovich Godunov

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityconvergenceconsistencyconservation lawsartificial viscositymaximum principlessplittingmultigridvon Neumann conditionCFL conditionGodunov schemeChebyshev iterationADI schemesshock fittingRunge-Kutta formulatheory of difference schemesjump-conditionsprinciple of frozen coefficientsAdams-Bashforth predictorsFederenko methodGalerkin/finite element methodsGodunov-Ryaben'kij theoryschemes in conservation formwell- posedness conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) First-order nonlinear hyperbolic equations (35L60) 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) Iterative numerical methods for linear systems (65F10) Additive difference equations (39A10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to difference and functional equations (39-01)

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