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Analytic-numerical solutions with a priori error bounds for a class of strongly coupled mixed partial differential systems

✍ Scribed by L. Jódar; E. Navarro; J. Camacho

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
898 KB
Volume
104
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper deals with the construction of analytic-numerical solutions with a priori error bounds for systems of the type

Here A, B, C are matrices for which no diagonalizable hypothesis is assumed. First an exact series solution is obtained after solving appropriate vector Sturm-Liouville-type problems. Given an admissible error e and a bounded subdomain D, after appropriate truncation an approximate solution constructed in terms of data and approximate eigenvalues is given so that the error is less than the prefixed accuracy e, uniformly in D. (~) 1999 Elsevier Science B.V. All rights reserved.

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