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Global error estimation with runge-kutta triples

✍ Scribed by J.R. Dormand; M.A. Lockyer; N.E. McGorrigan; P.J. Prince

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
667 KB
Volume
18
Category
Article
ISSN
0898-1221

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✦ Synopsis

Almtraet--The applications of Runge-Kutta (RK) interpolation to global error estimation using the Zadunaisky and related techniques are considered. It is shown that the pseudo-problem can be based on dense output values within any one step and reliable global error estimates can be obtained at the integration mesh-points by using special RK formulae. Some special formulae of orders 2-6 are presented together with numerical results

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