An implicit, numerical method for solving the two-dimensional heat equation
Authors:
George A. Baker Jr. and Thomas A. Oliphant
Journal:
Quart. Appl. Math. 17 (1960), 361-373
MSC:
Primary 65.00; Secondary 80.00
DOI:
https://doi.org/10.1090/qam/110207
MathSciNet review:
110207
Full-text PDF Free Access
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J. Douglas, Jr. and D. W. Peaceman, Numerical solution of two-dimensional heat-flow problems, A. I. Ch. E. J. 1, 505-512 (1955)
G. H. Bruce, D. W. Peaceman, H. H. Rachford, Jr. and J. D. Rice, Calculation of unsteady-state gas flow through porous media, Trans. Am. Inst. Mining Met. Engrs. 198, 79-92 (1953)
R. Bellman, On the weak and strong stability of numerical solutions of partial differential equations. 1. The heat equation, Princeton University Rept. AECU-3275 (1958)
G. Birkhoff and S. MacLane, A survey of modern algebra, chap. IX, sec. 9, The Macmillan Co., New York, 1951
C. Caratheodory, Conformal representations, chap. V, University Press, Cambridge, 1932
E. T. Copson, Introduction to the theory of functions of a complex variable, chap. VIII, Clarendon Press, Oxford, 1948
J. Douglas, Jr. and D. W. Peaceman, Numerical solution of two-dimensional heat-flow problems, A. I. Ch. E. J. 1, 505-512 (1955)
G. H. Bruce, D. W. Peaceman, H. H. Rachford, Jr. and J. D. Rice, Calculation of unsteady-state gas flow through porous media, Trans. Am. Inst. Mining Met. Engrs. 198, 79-92 (1953)
R. Bellman, On the weak and strong stability of numerical solutions of partial differential equations. 1. The heat equation, Princeton University Rept. AECU-3275 (1958)
G. Birkhoff and S. MacLane, A survey of modern algebra, chap. IX, sec. 9, The Macmillan Co., New York, 1951
C. Caratheodory, Conformal representations, chap. V, University Press, Cambridge, 1932
E. T. Copson, Introduction to the theory of functions of a complex variable, chap. VIII, Clarendon Press, Oxford, 1948
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Article copyright:
© Copyright 1960
American Mathematical Society
