On the justification of the Galerkin method for hyperbolic equations

DOI10.1134/S0012266107030111zbMath1133.65082MaRDI QIDQ2459779

S. E. Zhelezovskii

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceGalerkin methodHilbert spaceprojection methodhyperbolic problemweakly nonlinear second order differential equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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

Cites Work

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• Galerkin’s Method for Some Highly Nonlinear Problems

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