Analytic-numerical solutions with a priori error bounds of initial value problems for the continuous coefficient wave equation

DOI10.1016/S0168-9274(01)00067-8zbMath0995.65103OpenAlexW1966700240MaRDI QIDQ5957872

M. D. Roselló, Lucas Jodar

Publication date: 20 May 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00067-8

zbMATH Keywords

initial value problemsa priori error boundspolynomial approximationsvariable coefficient wave equation

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient
• Mixed problems for separate variable coefficient wave equations: the non-Dirichlet case. Continuous numerical solutions with a priori error bounds.
• Constructive polynomial approximation with \textit{a priori} error bounds for nonlinear initial value differential problems
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