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
✦ LIBER ✦
Positivity of exponential Runge–Kutta methods
✍ Scribed by Alexander Ostermann; Marnix van Daele
- Publisher
- Springer Netherlands
- Year
- 2007
- Tongue
- English
- Weight
- 425 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Exponential Runge–Kutta methods for dela
✍
Y. Xu; J.J. Zhao; Z.N. Sui
📂
Article
📅
2010
🏛
Elsevier Science
🌐
English
⚖ 333 KB
Exponential Runge–Kutta methods for the
✍
Guillaume Dujardin
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 457 KB
Symplectic conditions for exponential fi
✍
A. Tocino; J. Vigo-Aguiar
📂
Article
📅
2005
🏛
Elsevier Science
🌐
English
⚖ 208 KB
Structure preservation of exponentially
✍
M. Calvo; J.M. Franco; J.I. Montijano; L. Rández
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 227 KB
The preservation of some structure properties of the flow of differential systems by numerical exponentially fitted Runge-Kutta (EFRK) methods is considered. A complete characterisation of EFRK methods that preserve linear or quadratic invariants is given and, following the approach of Bochev and Sc
Linearly-implicit Runge-Kutta methods ba
✍
Jürgen Bruder
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 484 KB
Canonical Runge-Kutta methods
✍
F. M. Lasagni
📂
Article
📅
1988
🏛
Springer
🌐
English
⚖ 105 KB