Trigonometrically fitted multi-step Runge-Kutta methods for solving oscillatory initial value problems

Author:

Li JiyongORCID

Funder

Natural Science Foundation of China under Grant

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference32 articles.

1. Petzold, L.R., Jay, L.O., Yen, J.: Numerical solution of highly oscillatory ordinary differential equations. Acta Numer. 6, 437–483 (1997)

2. Van der Houwen, P.J., Sommeijer, B.P.: Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems. SIAM J. Numer. Anal. 26, 414–429 (1989)

3. Hairer, E., Nørsett, S.P., Wanner, G.: Solving ordinary differential equations I: nonstiff problems, 2nd ed. Springer-Verlag, Berlin (2002)

4. Hairer, E., Wanner, G.: Solving ordinary differential equations II: stiff and differential-algebraic problems, 2nd ed. Springer-Verlag, Berlin (2002)

5. Ixaru, L.G.: Exponential Fitting, Kluwer Academic Publishers, Dordrecht, Boston. London (2004)

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