Special extended Nyström tree theory for ERKN methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.12.043 ◽

2014 ◽

Vol 263 ◽

pp. 478-499 ◽

Author(s):

Xiong You ◽

Yonglei Fang ◽

Jinxi Zhao

Keyword(s):

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Stability Analysis for Explicit ERKN Methods Solving General Second-Order Oscillatory Systems

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-021-01150-7 ◽

2021 ◽

Author(s):

Kai Liu ◽

Ting Fu ◽

Wei Shi

Keyword(s):

Stability Analysis ◽

Second Order ◽

Oscillatory Systems ◽

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Highly Accurate Explicit Symplectic ERKN Methods for Multi-frequency Oscillatory Hamiltonian Systems

Structure-Preserving Algorithms for Oscillatory Differential Equations II ◽

10.1007/978-3-662-48156-1_9 ◽

2015 ◽

pp. 193-209

Author(s):

Xinyuan Wu ◽

Kai Liu ◽

Wei Shi

Keyword(s):

Hamiltonian Systems ◽

Oscillatory Hamiltonian Systems ◽

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Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems

Computer Physics Communications ◽

10.1016/j.cpc.2011.09.002 ◽

2012 ◽

Vol 183 (1) ◽

pp. 86-98 ◽

Author(s):

Zhaoxia Chen ◽

Xiong You ◽

Wei Shi ◽

Zhongli Liu

Keyword(s):

Hamiltonian Systems ◽

Oscillatory Hamiltonian Systems ◽

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ERKN methods for long-term integration of multidimensional orbital problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.05.021 ◽

2013 ◽

Vol 37 (4) ◽

pp. 2327-2336 ◽

Author(s):

Xinyuan Wu ◽

Bin Wang ◽

Kai Liu ◽

Hua Zhao

Keyword(s):

Orbital Problems ◽

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Two-Step Multidimensional ERKN Methods

Structure-Preserving Algorithms for Oscillatory Differential Equations ◽

10.1007/978-3-642-35338-3_5 ◽

2013 ◽

pp. 121-149

Author(s):

Xinyuan Wu ◽

Xiong You ◽

Bin Wang

Keyword(s):

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ERKN Methods

Structure-Preserving Algorithms for Oscillatory Differential Equations ◽

10.1007/978-3-642-35338-3_3 ◽

2013 ◽

pp. 63-90

Author(s):

Xinyuan Wu ◽

Xiong You ◽

Bin Wang

Keyword(s):

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Symplectic and Symmetric Multidimensional ERKN Methods

Structure-Preserving Algorithms for Oscillatory Differential Equations ◽

10.1007/978-3-642-35338-3_4 ◽

2013 ◽

pp. 91-119

Author(s):

Xinyuan Wu ◽

Xiong You ◽

Bin Wang

Keyword(s):

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Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1817412 ◽

2020 ◽

pp. 1-18

Author(s):

Yonglei Fang ◽

Xiong You

Keyword(s):

Oscillatory Systems ◽

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A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation

Numerical Algorithms ◽

10.1007/s11075-017-0281-5 ◽

2017 ◽

Vol 76 (3) ◽

pp. 761-782

Author(s):

Hongli Yang ◽

Xianyang Zeng

Keyword(s):

Effective Technique ◽

Scientific Computation ◽

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A Compact Tri-Colored Tree Theory for General ERKN Methods

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations ◽

10.1007/978-981-10-9004-2_8 ◽

2018 ◽

pp. 193-220

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

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