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Convergence of spectral methods for nonlinear conservation laws. (English) Zbl 0667.65079

The convergence of spectral methods for conservation laws that exhibit spontaneous shock discontinuities is discussed using compensated compactness arguments.
Reviewer: L.G.Vulkov

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
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