Iteration procedures for the Dirichlet difference problem
Author:
James D. Riley
Journal:
Math. Comp. 8 (1954), 125-131
MSC:
Primary 65.0X
DOI:
https://doi.org/10.1090/S0025-5718-1954-0064493-4
MathSciNet review:
0064493
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References | Similar Articles | Additional Information
- Stanley P. Frankel, Convergence rates of iterative treatments of partial differential equations, Math. Tables Aids Comput. 4 (1950), 65–75. MR 46149, DOI https://doi.org/10.1090/S0025-5718-1950-0046149-3
- Donald A. Flanders and George Shortley, Numerical determination of fundamental modes, J. Appl. Phys. 21 (1950), 1326–1332. MR 40075
- David Young, Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc. 76 (1954), 92–111. MR 59635, DOI https://doi.org/10.1090/S0002-9947-1954-0059635-7
- R. Plunkett, On the rate of convergence of relaxation methods, Quart. Appl. Math. 10 (1952), 263–266. MR 55048, DOI https://doi.org/10.1090/S0033-569X-1952-55048-6
- John Sheldon and L. H. Thomas, The use of large scale computing in physics, J. Appl. Phys. 24 (1953), 235–242. MR 53602
- L. Fox, A short account of relaxation methods, Quart. J. Mech. Appl. Math. 1 (1948), 253–280. MR 29270, DOI https://doi.org/10.1093/qjmam/1.1.253
- R. V. Southwell, Relaxation Methods in Theoretical Physics, Oxford, at the Clarendon Press, 1946. MR 0018983
- William Edmund Milne, Numerical solution of differential equations, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. MR 0068321 G. Shortley & R. Weller, “The numerical solution of Laplace’s equation,” Jn. Appl. Phys., v. 9, 1938, p. 334-348.
- Olga Taussky, Notes on numerical analysis. II. Note on the condition of matrices, Math. Tables Aids Comput. 4 (1950), 111–112. MR 38137, DOI https://doi.org/10.1090/S0025-5718-1950-0038137-8 The author is indebted to the referee at this point. Franz Wolf, “Über die angenäherte numerische Berechnung harmonischer und biharmonischer Funktionen,” Zeit. angew. Math. Mech., v. 6, 1926, p. 118-150.
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Article copyright:
© Copyright 1954
American Mathematical Society