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Two high-order correct difference analogues for the equation of multidimensional heat flow


Authors: Jim Douglas and James E. Gunn
Journal: Math. Comp. 17 (1963), 71-80
MSC: Primary 65.68
DOI: https://doi.org/10.1090/S0025-5718-1963-0149676-2
MathSciNet review: 0149676
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  • [1] J. Douglas, ``A survey of numerical methods for parabolic differential equations,'' p. 1-54 in Advances in Computers, Vol. II, Academic Press, New York, 1961. MR 0142211 (25:5604)
  • [2] J. Douglas, ``On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations,'' J. Soc. Indust. Appl. Math., 4, 1956, p. 20-37. MR 0080368 (18:236d)
  • [3] J. Douglas, & J. E. Gunn, ``A general formulation of alternating direction methods,'' (to appear).
  • [4] J. Douglas & H. H. Rachford, ``On the numerical solution of heat conduction problems in two and three space variables,'' Trans. Amer. Math. Soc., 82, 1956, p. 421-439. MR 0084194 (18:827f)
  • [5] J. Douglas, ``Alternating direction methods for three space variables,'' Numer. Math. Vol. 4, 1962, p. 41-43. MR 0136083 (24:B2122)
  • [6] J. E. Gunn, ``Three-level difference methods for parabolic differential equations,'' (to appear).

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DOI: https://doi.org/10.1090/S0025-5718-1963-0149676-2
Article copyright: © Copyright 1963 American Mathematical Society

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