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Rational methods with optimal order of convergence for partial differential equations

✍ Scribed by Isaías Alonso-Mallo

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
218 KB
Volume
35
Category
Article
ISSN
0168-9274

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✦ Synopsis

We construct rational approximations to linear, non-homogeneous initial boundary value problems. They are based on A-acceptable rational approximations to the exponential for the time discretization. The order reduction phenomenon is avoided and the optimal order of convergence in time is achieved. The theoretical results are illustrated numerically.

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