✦ LIBER ✦

VSVO multistep formulae adapted to perturbed second-order differential equations

✍ Scribed by J. Vigo-Aguiar; J.M. Ferrándiz

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 266 KB
Volume: 11
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00037-8

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✦ Synopsis

Communicated by D. G. M. Anderson

Abstract--We introduce and study multistep formulae of arbitrary order with step variation facilities. They are adapted to integrate second-order differential equations with constant coefficients, in the sense that the homogeneous IVP is integrated exactly (with only the round-off error), and the perturbed problems with a local error that comes only from the perturbing terms.