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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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
  • David Gottlieb and Steven A. Orszag, Numerical analysis of spectral methods: theory and applications, CBMS-NSF Regional Conference Series in Applied Mathematics, No. 26, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977. MR 0520152
  • H. O. Kreiss & J. Oliger, Methods for the Approximate Solution of Time Dependent Problems, G.A.R.P. Publication Series, No. 10, 1973.
  • 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
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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