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Error in Runge–Kutta methods

✍ Scribed by Prentice, J.S.C.


Book ID
120811320
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
139 KB
Volume
44
Category
Article
ISSN
0020-739X

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📜 SIMILAR VOLUMES


On error growth functions of Runge-Kutta
✍ E. Hairer; M. Zennaro 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 617 KB

This paper studies estimates of the form Ilyl -~l II ~ ~(hy)llu0-F011, where yl, Yl are the numerical solutions of a Runge-Kutta method applied to a stiff differential equation satisfying a one-sided Lipschitz condition (with constant u). An explicit formula for the optimal function ~(x) is given, a