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Exponential Runge–Kutta Methods for Stiff Kinetic Equations

✍ Scribed by Dimarco, Giacomo; Pareschi, Lorenzo


Book ID
111925686
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
285 KB
Volume
49
Category
Article
ISSN
0036-1429

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✍ Y. Xu; J.J. Zhao; Z.N. Sui 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 333 KB

This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provide