Dougalis, Vassilios A.; Serbin, Steven M. On the superconvergence of Galerkin approximations to second-order hyperbolic equations. (English) Zbl 0451.65077 SIAM J. Numer. Anal. 17, 431-446 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35L20 Initial-boundary value problems for second-order hyperbolic equations 35L15 Initial value problems for second-order hyperbolic equations 65N15 Error bounds for boundary value problems involving PDEs 65D07 Numerical computation using splines Keywords:semidiscrete and multistep fully discrete Galerkin approximations; smooth periodic splines; initial-periodic boundary value problem; superconvergence; error estimates; numerical experiments; Stormer-Numerov time-differencing method PDFBibTeX XMLCite \textit{V. A. Dougalis} and \textit{S. M. Serbin}, SIAM J. Numer. Anal. 17, 431--446 (1980; Zbl 0451.65077) Full Text: DOI