Implicit vs. Explicit Recurrence Formulas for the Linear Diffusion Equation

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Implicit vs. Explicit Recurrence Formulas for the Linear Diffusion Equation

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Journal of the ACM (JACM) archive
Volume 2 , Issue 1 (January 1955) table of contents

Pages: 42 - 49

Year of Publication: 1955

ISSN:0004-5411

Author

Stephen H. Crandall

Masschusetts Institute of Technology, Cambridge, Mass.

Publisher

ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	tiildebrand, F. B., 'Advanced Calculus for Engineers, Prentice-Hall, New York, 1949, p. 444.
	2	Schmidt, E., Uber die Anwendung der D{.fferenzenrechnung auf technische Anheiz und Abkuhlaugs-probleme, A. Foppl Festschrift, Springer, Berlin, 1924, pp. 179--189.
	3	Crank, J., and P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of heat-conductiOn type, Prec. Camb. Phil. Soc. 43, 50--67 (1947).
	4	O'Brien, G. G., M. A. Hyman and S. Kaplan, A sXudy of the numerical solution of partial differential equations, J. Math. Phys. 29, 223--2S1 (1951).
	5	Fowler, C. M.. Analysis of numerical solutions of transient heat-flow problems, Quart. Appl. Math. 3, 361--376 (1946).
	6	Milne, W. E., "Numerical Solution of Differential Equations," John Wile N.Y., 1953, p. 122.