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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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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