Two high-order correct difference analogues for the equation of multidimensional heat flow
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- by Jim Douglas and James E. Gunn PDF
- Math. Comp. 17 (1963), 71-80 Request permission
References
- Jim Douglas Jr., A survey of numerical methods for parabolic differential equations, Advances in Computers, Vol. 2, Academic Press, New York, 1961, pp. 1–54. MR 0142211
- Jim Douglas Jr., 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), 20–37. MR 80368 J. Douglas, & J. E. Gunn, “A general formulation of alternating direction methods,” (to appear).
- Jim Douglas Jr. and H. H. Rachford Jr., On the numerical solution of heat conduction problems in two and three space variables, Trans. Amer. Math. Soc. 82 (1956), 421–439. MR 84194, DOI 10.1090/S0002-9947-1956-0084194-4
- Jim Douglas Jr., Alternating direction methods for three space variables, Numer. Math. 4 (1962), 41–63. MR 136083, DOI 10.1007/BF01386295 J. E. Gunn, “Three-level difference methods for parabolic differential equations,” (to appear).
Additional Information
- © Copyright 1963 American Mathematical Society
- 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