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Stummel, F.

Über die Differenzenapproximation des Dirichletproblems für eine lineare elliptische Differentialgleichung zweiter Ordnung. (German) Zbl 0142.37702

Math. Ann. 163, 321-339 (1966).
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Cited in 8 Documents

Keywords:

partial differential equations
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References:

[1] Courant, R., K. Friedrichs u.H. Lewy: Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann.100, 32–74 (1928). · JFM 54.0486.01 · doi:10.1007/BF01448839
[2] –, andD. Hilbert: Methods of mathematical physics, vol. I. New York 1953. · Zbl 0051.28802
[3] Dunford, N., andJ. T. Schwartz: Linear operators, vol. I, II. New York 1958, 1963. · Zbl 0084.10402
[4] Ladyzenskaya, O. A.: The method of finite differences in the theory of partial differential equations. Am. Math. Soc. Translations (2),20, 77–104 (1962).
[5] Lyusternik, L. A.: On difference approximations of the Laplace operator. Am. Math. Soc. Translations (2),8, 289–351 (1958). · Zbl 0079.12003
[6] Nirenberg, L.: Remarks on strongly elliptic partial differential equations. Comm. Pure Appl. Math.8, 648–674 (1955). · Zbl 0067.07602 · doi:10.1002/cpa.3160080414
[7] Nitsche, J., andJ. C. C. Nitsche: Error estimates for the numerical solution of elliptic differential equations. Arch. Rat. Mech. Analysis5, 293–306 (1960). · Zbl 0097.33103 · doi:10.1007/BF00252911
[8] Nitsche, J. C. C., u.J. Nitsche: Fehlerabschätzung für die numerische Berechnung von Integralen, die Lösungen elliptischer Differentialgleichungen enthalten. Arch. Rat Mech. Analysis5, 307–314 (1960). · Zbl 0097.33104 · doi:10.1007/BF00252912
[9] Saul’yev, V. K.: On a class of elliptic equations solvable by the method of finite differences. Vyčisl. Mat.1, 81–86 (1957).
[10] [10]—-: On the solution of the problem of eigenvalues by the method of finite differences. Am. Math. Soc. Translations (2),8, 257–287 (1958). · Zbl 0079.12002
[11] Smirnow, W. I.: Lehrgang der höheren Mathematik, Bd. V. Berlin 1962. · Zbl 0105.04101
[12] Stummel, F.: Näherungsmethoden zur Lösung elliptischer partieller Differentialgleichungen. HMI-B31, Hahn-Meitner-Institut. Berlin 1963.
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