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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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Difference analogues of quasi-linear elliptic Dirichlet problems with mixed derivatives
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by Robert S. Stepleman PDF
Math. Comp. 25 (1971), 257-269 Request permission

Abstract:

In this paper we consider a class of difference approximations to the Dirichlet problem for second-order quasi-linear elliptic operators with mixed derivative terms. The main result is that for this class of discretizations and bounded g (the right-hand side) a solution to the difference equations exists. We also explicitly exhibit a discretization of this type for a class of operators.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 257-269
  • MSC: Primary 65N10
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0303756-1
  • MathSciNet review: 0303756