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An error analysis of Runge–Kutta convolution quadrature

✍ Scribed by Lehel Banjai; Christian Lubich


Book ID
106373166
Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
518 KB
Volume
51
Category
Article
ISSN
0006-3835

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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