Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix-Reference-Cited by-同舟云学术

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Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix

Published:2023-05 Issue: Volume:139 Page:108540
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Liu Zhongli,Zhao Hui,Tian Hongjiong

Funder

National Natural Science Foundation of China

Science and Technology Innovation Plan Of Shanghai Science and Technology Commission

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference12 articles.

1. Splitting and composition methods for explicit time dependence in separable dynamical systems;Blanes;J. Comput. Appl. Math.,2010

2. The adiabatic invariant in classical mechanics;Henrard,1993

3. Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations: part II;Khanamiryan;BIT,2012

4. Adiabatic integrators for highly oscillatory second-order linear differential equations with time-varying eigenecomposition;Lorenz;BIT,2005

5. Kinematics and Dynamics of Machinery;Stejskal,1996

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1. Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems;Calcolo;2023-03-13

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