Adiabatic Filon-type methods for highly oscillatory second-order ordinary differential equations

Author:

Liu Zhongli,Tian Hongjiong,You Xiong

Funder

E-Institutes of Shanghai Municipal Education Commission

NSF of China

NSF of Shanghai

Ministry of Education of China

Specialized Research Fund for the Doctoral Program of Higher Education

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference19 articles.

1. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations;Hairer,2006

2. Numerical solution of highly oscillatory ordinary differential equations;Petzold;Acta Numer.,1997

3. Numerical integration of ordianry differential equations based on trigonometric polynimials;Gauthschi;Numer. Math.,1961

4. Long-time-step methods for oscillatory differential equations;Garcia-Archilla;SIAM J. Sci. Comput.,1998

5. A Gautschi-type method for oscillatory second-order differential equations;Hochbruck;Numer. Math.,1999

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