Uniform expansions for a class of finite difference schemes for elliptic boundary value problems

Author:
Harry Munz

Journal:
Math. Comp. **36** (1981), 155-170

MSC:
Primary 65N05

DOI:
https://doi.org/10.1090/S0025-5718-1981-0595048-7

MathSciNet review:
595048

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Abstract: For a class of finite difference schemes for the Dirichlet problem on a bounded region , the existence of uniform expansions of the approximate solution for meshlength is shown. The results also improve error bounds which Pereyra, Proskurowski, and Widlund obtained with respect to certain discrete -norms.

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DOI:
https://doi.org/10.1090/S0025-5718-1981-0595048-7

Article copyright:
© Copyright 1981
American Mathematical Society