Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
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Published By Springer Singapore

9789811090035, 9789811090042

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Exponential Fourier Collocation Methods for First-Order Differential Equations

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

10.1007/978-981-10-9004-2_3 ◽

2018 ◽

pp. 55-84

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

First Order ◽

Fourier Collocation ◽

First Order Differential Equations

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An Energy-Preserving and Symmetric Scheme for Nonlinear Hamiltonian Wave Equations

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

10.1007/978-981-10-9004-2_10 ◽

2018 ◽

pp. 251-268

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Wave Equations ◽

Symmetric Scheme

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An Integral Formula Adapted to Different Boundary Conditions for Arbitrarily High-Dimensional Nonlinear Klein–Gordon Equations

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

10.1007/978-981-10-9004-2_9 ◽

2018 ◽

pp. 221-250

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Boundary Conditions ◽

Integral Formula ◽

High Dimensional ◽

Different Boundary Conditions ◽

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High-Order Symplectic and Symmetric Composition Integrators for Multi-frequency Oscillatory Hamiltonian Systems

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

10.1007/978-981-10-9004-2_5 ◽

2018 ◽

pp. 107-133

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Hamiltonian Systems ◽

Oscillatory Hamiltonian Systems

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Exponential Average-Vector-Field Integrator for Conservative or Dissipative Systems

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

10.1007/978-981-10-9004-2_2 ◽

2018 ◽

pp. 29-53

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Vector Field ◽

Dissipative Systems

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An Essential Extension of the Finite-Energy Condition for ERKN Integrators Solving Nonlinear Wave Equations

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

10.1007/978-981-10-9004-2_12 ◽

2018 ◽

pp. 317-342

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Energy Condition ◽

Finite Energy ◽

Essential Extension ◽

Nonlinear Wave Equations ◽

Erkn Integrators

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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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The Construction of Arbitrary Order ERKN Integrators via Group Theory

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

10.1007/978-981-10-9004-2_6 ◽

2018 ◽

pp. 135-165

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Group Theory ◽

Arbitrary Order ◽

Erkn Integrators

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Symplectic Exponential Runge–Kutta Methods for Solving Nonlinear Hamiltonian Systems

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

10.1007/978-981-10-9004-2_4 ◽

2018 ◽

pp. 85-106

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Hamiltonian Systems ◽

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Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations

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

10.1007/978-981-10-9004-2_11 ◽

2018 ◽

pp. 269-316

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Time Stepping ◽

Klein Gordon ◽

High Order Time

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