Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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



A general equivalence theorem in the theory of discretization methods

Authors: J. M. Sanz-Serna and C. Palencia
Journal: Math. Comp. 45 (1985), 143-152
MSC: Primary 65J10; Secondary 65M10, 65N10
MathSciNet review: 790648
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The Lax-Richtmyer theorem is extended to work in the framework of Stetter's theory of discretizations. The new result applies to both initial and boundary value problems discretized by finite elements, finite differences, etc. Several examples are given, together with a comparison with other available equivalence theorems. The proof relies on a generalized Banach-Steinhaus theorem.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65J10, 65M10, 65N10

Retrieve articles in all journals with MSC: 65J10, 65M10, 65N10

Additional Information

Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society