\(L_ 2\) estimates for Chebyshev collocation

DOI10.1007/BF01066480zbMath0662.65101MaRDI QIDQ1114362

Luis G. M. Reyna

Publication date: 1988

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

zbMATH Keywords

stabilityvariable coefficientssymmetric hyperbolic systemsChebyshev collocation smoothing

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order hyperbolic equations (35L20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Cites Work

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• Survey of the stability of linear finite difference equations
• Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variables
• Stability of Pseudospectral and Finite-Difference Methods for Variable Coefficient Problems
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Stability of the Fourier Method
• The Stability of Pseudospectral-Chebyshev Methods
• The Fourier Method for Nonsmooth Initial Data
• The Exponential Accuracy of Fourier and Chebyshev Differencing Methods
• Symmetric hyperbolic linear differential equations

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