The stability of pseudospectral-Chebyshev methods
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- by David Gottlieb PDF
- Math. Comp. 36 (1981), 107-118 Request permission
Abstract:
The stability of pseudospectral-Chebyshev methods is demonstrated for parabolic and hyperbolic problems with variable coefficients. The choice of collocation points is discussed. Numerical examples are given for the case of variable coefficient hyperbolic equations.References
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- David Gottlieb and Eli Turkel, On time discretizations for spectral methods, Stud. Appl. Math. 63 (1980), no. 1, 67–86. MR 578457, DOI 10.1002/sapm198063167
- David Gottlieb, Max Gunzburger, and Eli Turkel, On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods, SIAM J. Numer. Anal. 19 (1982), no. 4, 671–682. MR 664877, DOI 10.1137/0719047
- Theodore J. Rivlin, The Chebyshev polynomials, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. MR 0450850
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 107-118
- MSC: Primary 65N30; Secondary 65N35
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595045-1
- MathSciNet review: 595045