Free Access
| Issue |
ESAIM: M2AN
Volume 43, Number 4, July-August 2009
Special issue on Numerical ODEs today
|
|
|---|---|---|
| Page(s) | 645 - 649 | |
| DOI | https://doi.org/10.1051/m2an/2009020 | |
| Published online | 08 July 2009 | |
- M.-P. Calvo, A. Iserles and A. Zanna, Numerical solution of isospectral flows. Math. Comput. 66(1997) 1461–1486. [CrossRef] [Google Scholar]
- E. Celledoni, R.I. McLachlan, B. Owren and G.R.W. Quispel, Energy-preserving integrators and the structure of B-series. Preprint. [Google Scholar]
- P. Chartier, E. Faou and A. Murua, An algebraic approach to invariant preserving integrators: The case of quadratic and Hamiltonian invariants. Numer. Math. 103 (2006) 575–590. [CrossRef] [MathSciNet] [Google Scholar]
- G.J. Cooper, Stability of Runge-Kutta methods for trajectory problems. IMA J. Numer. Anal. 7 (1987) 1–13. [CrossRef] [MathSciNet] [Google Scholar]
- E. Faou, E. Hairer and T.-L. Pham, Energy conservation with non-symplectic methods: examples and counter-examples. BIT 44 (2004) 699–709. [CrossRef] [MathSciNet] [Google Scholar]
- E. Hairer, C. Lubich and G. Wanner, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. Springer, Berlin, 2nd Edition (2006). [Google Scholar]
- A. Iserles and A. Zanna, Preserving algebraic invariants with Runge-Kutta methods. J. Comput. Appl. Math. 125 (2000) 69–81. [CrossRef] [MathSciNet] [Google Scholar]
- R.I. McLachlan, G.R.W. Quispel and G.S. Turner, Numerical integrators that preserve symmetries and reversing symmetries. SIAM J. Numer. Anal. 35 (1998) 586–599. [CrossRef] [MathSciNet] [Google Scholar]
- R.I. McLachlan, G.R.W. Quispel and N. Robidoux, Geometric integration using discrete gradients. Phil. Trans. Roy. Soc. A 357 (1999) 1021–1046. [Google Scholar]
- G.R.W. Quispel and D.I. McLaren, A new class of energy-preserving numerical integration methods. J. Phys. A 41 (2008) 045206. [CrossRef] [MathSciNet] [Google Scholar]
- J.E. Scully, A search for improved numerical integration methods using rooted trees and splitting. MSc Thesis, La Trobe University, Australia (2002). [Google Scholar]
- L.F. Shampine, Conservation laws and the numerical solution of ODEs. Comput. Math. Appl. 12B (1986) 1287–1296. [CrossRef] [Google Scholar]
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