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A \(C^ 1\) interpolant for codes based on backward differentiation formulae. (English) Zbl 0615.65077
The objective of this work is to produce a \(C^ 1\) interpolant for a fixed-step backward differentiation formula with interpolatory step changing, with particular reference to a code which is released in the NAG Library. Although the method essentially consists of augmenting the usual Nordsieck vector, the author shows that it is unnecessary to form this directly, since the correction to the normal vector can be calculated in the interpolation routine. Numerical examples are presented to illustrate the continuity achieved in practice.
Reviewer: J.Oliver

MSC:
65L05 Numerical methods for initial value problems
34A34 Nonlinear ordinary differential equations and systems, general theory
Software:
DASSL; SPRINT2D
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References:
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