Achieving Brouwer’s law with implicit Runge–Kutta methods

Author:

Hairer E.,McLachlan R. I.,Razakarivony A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference8 articles.

1. D. Brouwer, On the accumulation of errors in numerical integration, Astron. J., 46 (1937), pp. 149–153.

2. K. R. Grazier, W. I. Newman, J. M. Hyman, P. W. Sharp, and D. J. Goldstein, Achieving Brouwer’s law with high-order Störmer multistep methods, ANZIAM J., 46 (2004/05), pp. C786–C804.

3. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd edn., Springer Ser. Comput. Math., vol. 31, Springer, Berlin, 2006.

4. P. Henrici, The propagation of round-off error in the numerical solution of initial value problems involving ordinary differential equations of the second order, in Symposium on the Numerical Treatment of Ordinary Differential Equations, Integral and Integro-Differential Equations (Rome 1960), Birkhäuser, Basel, 1960, pp. 275–291.

5. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, John Wiley & Sons Inc., New York, 1962.

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