Estimates of convergence rate of the projection-difference method for hyperbolic equations

zbMath1030.65096MaRDI QIDQ1397501

S. Ye. Zhelezovskiĭ

Publication date: 6 August 2003

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

zbMATH Keywords

convergenceGalerkin methodCauchy problemHilbert spacedifference schemeabstract hyperbolic equationprojection-difference method

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10)

Related Items (2)

The Cauchy problem for an abstract second order ordinary differential equation ⋮ Existence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundary

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