Numerical solution of partial differential equations by boundary contraction
Authors:
Harold W. Milnes and Renfrey B. Potts
Journal:
Quart. Appl. Math. 18 (1960), 1-13
MSC:
Primary 65.00
DOI:
https://doi.org/10.1090/qam/114305
MathSciNet review:
114305
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Additional Information
- E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956. MR 0080363
- Lothar Collatz, Numerische Behandlung von Differentialgleichungen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. LX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). 2te Aufl. MR 0068908
- R. V. Southwell, Relaxation Methods in Engineering Science. A treatise on approximate computation, Oxford Engineering Science Series, Oxford University Press, New York, 1940. MR 0005425
- E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956. MR 0080363
Van der Waerden, Modern algebra, vol. II, Frederic Unger Publishing Co., New York, 1950, p. 120-121
- Harold W. Milnes and Renfrey B. Potts, Boundary contraction solution of Laplace’s differential equation, J. Assoc. Comput. Mach. 6 (1959), 226–235. MR 105819, DOI https://doi.org/10.1145/320964.320980
- Harold Willis Milnes, A note on bounded continuous matrix products, Michigan Math. J. 6 (1959), 335–338. MR 109827
E. Bodewig, Matrix calculus, Interscience Publishers, New York, 1956, p. 182 ff
L. Collatz, Numerische Behandlung von Differentialgleichungen, Springer Verlag, 2nd ed., 1955, p. 320 ff
R. V. Southwell, Relaxation methods in engineering science, Oxford University Press, 1940
E. Bodewig, Matrix calculus, Interscience Publishers, 1956, p. 83
Van der Waerden, Modern algebra, vol. II, Frederic Unger Publishing Co., New York, 1950, p. 120-121
H. W. Milnes and R. B. Potts, Boundary contraction solution of Laplace’s differential equation, J. Assoc. Comp. Mach. 6 (1959) 226
H. W. Milnes, Bounded continuous matrix products, Michigan Math. J. 6 (1959)
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Article copyright:
© Copyright 1960
American Mathematical Society