Spectral methods for the computation of discontinuous solutions

DOI10.1007/BF01061267zbMath0684.65104MaRDI QIDQ1825620

Nira Gruberger

Publication date: 1989

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical resultsconsistencyBurgers equationtransport equationshock capturing methodspostprocessingpseudospectral approximationdiscontinuityspectral accuracyNumerical testsPeriodic boundary value problemsapproximations of the delta functionFourier-Galerkin semidiscrete approximationMcCormack first order filtertruncated Chebyshev expansion

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) First-order nonlinear hyperbolic equations (35L60)

Related Items (1)

Two algorithms for periodic extension on uniform grids

Cites Work

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• Spectral methods for problems in complex geometries
• Spectral methods for the Euler equations. I - Fourier methods and shock capturing
• The computation of discontinuous solutions of linear hyperbolic equations
• The Fourier Method for Nonsmooth Initial Data

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