Multidimensional ARKN methods for general oscillatory second-order initial value problems-Reference-Cited by-同舟云学术

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Multidimensional ARKN methods for general oscillatory second-order initial value problems

Published:2014-07 Issue:7 Volume:185 Page:1999-2007
ISSN:0010-4655
Container-title:Computer Physics Communications
language:en
Short-container-title:Computer Physics Communications

Author:

Liu Kai,Wu Xinyuan

Funder

Natural Science Foundation of China

NSFC and RS International Exchanges Project

Specialized Research Foundation for the Doctoral Program of Higher Education

985 Project at Nanjing University

University Postgraduate Research and Innovation Project of Jiangsu Province 2013

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Hardware and Architecture

Reference14 articles.

1. Stability and phase-lag analysis of explicit Runge–Kutta methods with variable coefficients for oscillatory problems

2. Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators

3. New methods for oscillatory systems based on ARKN methods

4. A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators

5. A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions

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4. An Optimized Two-Step Hybrid Block Method Formulated in Variable Step-Size Mode for Integrating $y''=f(x,y,y')$ Numerically;Numerical Mathematics: Theory, Methods and Applications;2019-06

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