On the convergence of a solution of a difference equation to a solution of the equation of diffusion
Authors:
M. L. Juncosa and D. M. Young
Journal:
Proc. Amer. Math. Soc. 5 (1954), 168-174
MSC:
Primary 65.0X
DOI:
https://doi.org/10.1090/S0002-9939-1954-0060906-4
MathSciNet review:
0060906
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References | Similar Articles | Additional Information
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M. L. Cartwright, On the relation between different types of Abel summation, Proc. London Math. Soc. (2) vol. 31 (1930) pp. 81-96.
L. Fejér Untersuchungen über Fouriersche Reihen, Math. Ann. vol. 58 (1904) pp. 51-69.
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- G. H. Hardy and W. W. Rogosinski, Fourier series, Cambridge Tracts in Mathematics and Mathematical Physics, no. 38, Cambridge, At the University Press, 1950. 2nd ed. MR 0044660
- F. B. Hildebrand, On the convergence of numerical solutions of the heat-flow equation, J. Math. Physics 31 (1952), 35–41. MR 0048171
- Werner Leutert, On the convergence of unstable approximate solutions of the heat equation to the exact solution, J. Math. Physics 30 (1952), 245–251. MR 0046753
- George G. O’Brien, Morton A. Hyman, and Sidney Kaplan, A study of the numerical solution of partial differential equations, J. Math. Physics 29 (1951), 223–251. MR 0040805
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Article copyright:
© Copyright 1954
American Mathematical Society
