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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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The Dirichlet problem for a class of elliptic difference equations
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by G. T. McAllister PDF
Math. Comp. 25 (1971), 655-673 Request permission

Abstract:

Under suitable assumptions on the order of nonlinearity we prove existence and uniqueness theorems for difference Dirichlet problems of divergence type. We also show that the discrete solutions converge to a solution of the continuous problem. We do not assume that our equation comes from a variational problem. Some of our results are constructive or allow for the application of constructive methods.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 655-673
  • MSC: Primary 39A12; Secondary 35J20
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0306747-X
  • MathSciNet review: 0306747