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Backward differentiation formulae adapted to scalar linear equations

✍ Scribed by J. Vigo-Aguiar; F. Andrés-Pérez

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
299 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

This paper introduces an extension of the classical BDF formulae, which Integrate, wrthout local truncation error, homogeneous hnear ODES with constant coefficients In particular, they integrate exactly scalar lmear equations whose characterlstlc roots have a large stiffness ratlo

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✍ J. Vigo-Aguiar; J.M. Ferrándiz 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 266 KB

## 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 (wit