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Families of backward differentiation methods based on a new type of mixed interpolation

✍ Scribed by J. Vanthournout; G. Vanden Berghe; H. De Meyer

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 624 KB
Volume: 20
Category: Article
ISSN: 0898-1221
DOI: 10.1016/0898-1221(90)90215-6

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✦ Synopsis

Backward differentiation methods based on a new type of mixed interpolation for the first-order initial-value problems whose solutions are known to be periodic are constructed. The angular frequency k is calculated by minimizing the local truncation error within each integration interval. The resulting methods depend on a parameter 0 = hk, h the step length, and reduce to classical backward methods if k ~ 0. Numerical examples are provided to illustrate the algorithms.

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