Topological Problems Arising When Solving Boundary Value Problems for Elliptic Partial Differential Equations by the Method of Finite Differences

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Topological Problems Arising When Solving Boundary Value Problems for Elliptic Partial Differential Equations by the Method of Finite Differences

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Journal of the ACM (JACM) archive
Volume 18 , Issue 1 (January 1971) table of contents

Pages: 63 - 74

Year of Publication: 1971

ISSN:0004-5411

Author

Colin W. Cryer

Computer Sciences Department, University of Wisconsin, Madison, Wisconsin

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	AHLFORS, L.V. Complex Analysis (2nd ed.). McGraw-Hill, New York, 1966.
	2	CRYER, C.W. On the approximate solution of one-phase free boundary problems in two dimensions. Mathematics Research Center, U. S. Army, Technical Summary Rep. No. 894, University of Wisconsin, Madison, Wis., 1968.
	3	CRYER, C.W. Topological problems arising when solving boundary value problems for elliptic partial differential equations by the method of finite differences. Computer Sciences Department Tech. Rep. No. 69, University of Wisconsin, Madison, Wis., 1969.
	4	ESTERMANN, T. Tiber Carath~odorys und Minkows}ds VeraUgemeinerungen des L~ngenbegriffs. Abhandl. Math. Seminar Hamburgisehen Univ. 4, (1926), 73-116.
	5	EST~RMANN, T. ~ber die totale Variation einer stetigen Funktion und den Cauchyschen Integralsatz. Math. Zeit. 37, (1933), 556--560.
	6	FORSYTHE, G. E., AND WASOW, W. R. Finite-difference methods for partial differentia} equagons. Wiley, New York, 1960.
	7	GR~ENSPAN, D. Introductory Numerical Analysis of Elliptic Boundary Value Problems. Harper and Row, New York, 1965.
	8	MICm~EL, J .H . An approximation to a rectifiable plane curve. J. London Math. ~o~, 80 (1955), 1-11.
	9	NIVEN, I. AND ZUCKERMAN, H.S. Lattice points in regions. Proc. Am. Math. Soc. I~ (1967), 364-370.
	10	PoTrs, D.H. A note on Green's theorem. J. London Math. Soc. ~6 (1951), 302-304.