Canuto, C.; Quarteroni, A. Error estimates for spectral and pseudospectral approximations of hyperbolic equations. (English) Zbl 0508.65054 SIAM J. Numer. Anal. 19, 629-642 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 22 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35L65 Hyperbolic conservation laws Keywords:advection equation; Galerkin approximations; collocation method; Jacobi approximations; Legendre approximations; pseudospectral method; fast Fourier transform; penalty method; stability; rate of convergence; finite element Citations:Zbl 0412.65058 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{A. Quarteroni}, SIAM J. Numer. Anal. 19, 629--642 (1982; Zbl 0508.65054) Full Text: DOI