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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Some locally one-dimensional difference schemes for parabolic equations in an arbitrary region
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by Bert Hubbard PDF
Math. Comp. 20 (1966), 53-59 Request permission
References
  • J. H. Bramble and B. E. Hubbard, On the formulation of finite difference analogues of the Dirichlet problem for Poisson’s equation, Numer. Math. 4 (1962), 313–327. MR 149672, DOI 10.1007/BF01386325
  • Jim Douglas Jr., On the numerical integration of $\partial ^2u/\partial x^2+\partial ^2u/\partial y^2=\partial u/\partial t$ by implicit methods, J. Soc. Indust. Appl. Math. 3 (1955), 42–65. MR 71875
  • J. Douglas & J. Gunn, "A general formulation of alternating direction methods." (To appear.)
  • Bert E. Hubbard, Alternating direction schemes for the heat equation in a general domain, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 448–463. MR 196952
  • D. W. Peaceman and H. H. Rachford Jr., The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math. 3 (1955), 28–41. MR 71874
  • A. A. Samarskiĭ, An efficient difference method for solving a multidimensional parabolic equation in an arbitrary domain, Ž. Vyčisl. Mat i Mat. Fiz. 2 (1962), 787–811 (Russian). MR 183127
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Math. Comp. 20 (1966), 53-59
  • MSC: Primary 65.68
  • DOI: https://doi.org/10.1090/S0025-5718-1966-0187415-2
  • MathSciNet review: 0187415