Convergence rate of the Galerkin method for a class of quasilinear operator differential equations

zbMath0977.65053MaRDI QIDQ5933005

S. E. Zhelezovskii, N. N. Bukesova

Publication date: 5 July 2001

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

zbMATH Keywords

convergenceGalerkin methoderror estimatesCauchy problemhyperbolic equationquasilinear operator second-order differential equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) 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 solutions to equations with nonlinear operators (65J15) Initial value problems for first-order hyperbolic systems (35L45)

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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