Tadmor, Eitan Convergence of spectral methods for nonlinear conservation laws. (English) Zbl 0667.65079 SIAM J. Numer. Anal. 26, No. 1, 30-44 (1989). The convergence of spectral methods for conservation laws that exhibit spontaneous shock discontinuities is discussed using compensated compactness arguments. Reviewer: L.G.Vulkov Cited in 3 ReviewsCited in 160 Documents MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 35L65 Hyperbolic conservation laws Keywords:Burgers’ equation; entropy solution; spectral viscosity method; convergence; spectral methods; conservation laws; shock discontinuities; compensated compactness PDFBibTeX XMLCite \textit{E. Tadmor}, SIAM J. Numer. Anal. 26, No. 1, 30--44 (1989; Zbl 0667.65079) Full Text: DOI Link