On the Superconvergence of Galerkin Approximations to Second-Order Hyperbolic Equations

DOI10.1137/0717037zbMath0451.65077OpenAlexW1992204554MaRDI QIDQ3897969

Vassilios A. Dougalis, Steven M. Serbin

Publication date: 1980

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0717037

zbMATH Keywords

error estimatesnumerical experimentssuperconvergenceinitial-periodic boundary value problemsemidiscrete and multistep fully discrete Galerkin approximationssmooth periodic splinesStormer-Numerov time-differencing method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Initial-boundary value problems for second-order hyperbolic equations (35L20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for second-order hyperbolic equations (35L15)

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