Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-020-00908-7.pdf
Reference75 articles.
1. Bao, W.Z., Dong, X.C.: Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime. Numer. Math. 120, 189–229 (2012)
2. Baker, T.S., Dormand, J.R., Gilmore, J.P., Prince, P.J.: Continuous approximation with embedded Runge-Kutta methods. Appl. Numer. Math. 22, 51–62 (1996)
3. Brugnano, L., Montijano, J.I., Rández, L.: On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. Numer. Algor. 81, 345–376 (2019). https://doi.org/10.1007/s11075-018-0552-9
4. Celledoni, E., McLachlan, R.I., Owren, B., Quispel, G.R.W.: Energy-preserving integrators and the structure of B-series. Found. Comput. Math. 10, 673–693 (2010)
5. Cohen, D., Jahnke, T., Lorenz, K., Lubich, C.H.: Numerical integrators for highly oscillatory Hamiltonian systems: a review. In: Mielke, A. (ed.) Analysis, modeling and simulation of multiscale problems, pp. 553–576. Springer, Berlin (2006)
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