Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Fourth-order finite difference analogues of the Dirichlet problem for Poisson's equation in three and four dimensions


Author: James H. Bramble
Journal: Math. Comp. 17 (1963), 217-222
MSC: Primary 65.66
Corrigendum: Math. Comp. 17 (1963), 487-488.
MathSciNet review: 0160338
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References [Enhancements On Off] (What's this?)

  • [1] J. H. Bramble and B. E. Hubbard, On the formulation of finite difference analogues of the Dirichlet problem for Poisson’s equation, Numer. Math. 4 (1962), 313–327. MR 0149672
  • [2] J. H. Bramble and B. E. Hubbard, A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations, Contributions to Differential Equations 2 (1963), 319–340. MR 0152134
  • [3] George E. Forsythe and Wolfgang R. Wasow, Finite-difference methods for partial differential equations, Applied Mathematics Series, John Wiley & Sons, Inc., New York-London, 1960. MR 0130124
  • [4] G. Shortley & R. Weller, ``The numerical solution of Laplace's equation,'' J. Appl. Phys., v. 9, 1938, p. 334-348.

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DOI: http://dx.doi.org/10.1090/S0025-5718-1963-0160338-8
Article copyright: © Copyright 1963 American Mathematical Society