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Numerical experiments in potential theory using the Nehari estimates.


Author: U. W. Hochstrasser
Journal: Math. Comp. 12 (1958), 26-33
MSC: Primary 65.00; Secondary 31.00
DOI: https://doi.org/10.1090/S0025-5718-1958-0101629-4
MathSciNet review: 0101629
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References [Enhancements On Off] (What's this?)

  • [1] Zeev Nehari, On the Numerical Solution of the Dirichlet Problem, Proceedings of the Conference on Differential Equations, Univ. of Maryland Book Store, College Park, Md., 1956, p. 157-178. MR 0082736 (18:602g)
  • [2] S. Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys No. 5, Am. Math. Soc., New York, 1950. MR 0038439 (12:402a)
  • [3] L. E. Payne & H. F. Weinberger, ``New bounds in harmonic and biharmonic problems,'' Jn. Math. and Physics, v. 33, 1955. MR 0068683 (16:923g)
  • [4] Philip Davis & Philip Rabinowitz, ``A multiple purpose orthonormalizing code and its uses.'' J. Assn. Comp. Machinery, v. 1, 1954, p. 183-191. MR 0067578 (16:751c)
  • [5] Zdenĕk Kopal, Numerical Analysis, John Wiley and Sons, Inc., New York, 1955, p. 390-394.
  • [6] P. Davis & P. Rabinowitz, ``Numerical experiments in potential theory using orthonormal functions,'' Jn. Wash. Acad. of Sciences, v. 46, 1956, p. 12-17. MR 0089503 (19:686f)
  • [7] S. Zaremba, ``Sur le calcul numérique des fonctions demandées dans le problème de Dirichlet et le problème hydrodynamique,'' International de l'Académie des Science de Cracovie, Bulletin, 1909, p. 125-195.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1958-0101629-4
Article copyright: © Copyright 1958 American Mathematical Society

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