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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 2024 MCQ for Mathematics of Computation is 1.78.

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A modified Galerkin procedure with Hermite cubics for hyperbolic problems
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by Lars Wahlbin PDF
Math. Comp. 29 (1975), 978-984 Request permission

Abstract:

The Galerkin method, modified to include a term of artificial viscosity type, is applied to model problems for linear and quasilinear hyperbolic systems. Asymptotic error estimates are derived.
References
  • J. E. Dendy, Two methods of Galerkin type achieving optimum $L^{2}$ rates of convergence for first order hyperbolics, SIAM J. Numer. Anal. 11 (1974), 637–653. MR 353695, DOI 10.1137/0711052
  • Todd Dupont, Galerkin methods for first order hyperbolics: an example, SIAM J. Numer. Anal. 10 (1973), 890–899. MR 349046, DOI 10.1137/0710074
  • Todd Dupont, Galerkin methods for modeling gas pipelines, Constructive and computational methods for differential and integral equations (Sympos., Indiana Univ., Bloomington, Ind., 1974) Lecture Notes in Math., Vol. 430, Springer, Berlin, 1974, pp. 112–130. MR 0502035
  • Lars B. Wahlbin, A dissipative Galerkin method applied to some quasilinear hyperbolic equations, Rev. Française Automat. Informat. Recherche OpĂ©rationnelle SĂ©r. Rouge 8 (1974), no. R-2, 109–117 (English, with French summary). MR 368447
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 978-984
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0388809-8
  • MathSciNet review: 0388809