Energy-Preserving Integrators and the Structure of B-series-Reference-Cited by-同舟云学术

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Energy-Preserving Integrators and the Structure of B-series

Published:2010-06-22 Issue:6 Volume:10 Page:673-693
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Celledoni Elena,McLachlan Robert I.,Owren Brynjulf,Quispel G. R. W.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10208-010-9073-1.pdf

Reference26 articles.

1. J.C. Butcher, Numerical Methods for Ordinary Differential Equations, 2nd edn. (Wiley, New York, 2008).

2. M.P. Calvo, J.M. Sanz-Serna, Canonical B-series, Numer. Math. 67, 161–175 (1994).

3. E. Celledoni, R.I. McLachlan, D.I. McLaren, B. Owren, G.R.W. Quispel, W.M. Wright, Energy-preserving Runge–Kutta methods, Math. Model. Numer. Anal. 43, 645–649 (2009).

4. P. Chartier, A. Murua, Preserving first integrals and volume forms of additively split systems, IMA J. Numer. Anal. 27, 381–405 (2007).

5. P. Chartier, E. Faou, A. Murua, An algebraic approach to invariant preserving integrators: the case of quadratic and Hamiltonian invariants, Numer. Math. 103, 575–590 (2006).

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