erkn integrators Latest Research Papers

Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

10.1007/978-981-16-0147-7_3 ◽

2021 ◽

pp. 75-122

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Convergence Analysis ◽

Second Order ◽

Stability And Convergence ◽

Oscillatory Solutions ◽

Stability And Convergence Analysis ◽

Highly Oscillatory ◽

Erkn Integrators

Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

10.1007/978-981-16-0147-7_2 ◽

2021 ◽

pp. 47-74

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Second Order ◽

Oscillatory Solutions ◽

Highly Oscillatory ◽

Erkn Integrators

Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

10.1007/978-981-16-0147-7_13 ◽

2021 ◽

pp. 427-458

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

High Dimensional ◽

Erkn Integrators

Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations

10.1007/978-981-16-0147-7_7 ◽

2021 ◽

pp. 213-233

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Error Bounds ◽

Global Error ◽

One Stage ◽

Erkn Integrators

Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.02.020 ◽

2020 ◽

Vol 153 ◽

pp. 352-380 ◽

Cited By ~ 1

Author(s):

Changying Liu ◽

Xinyuan Wu

Keyword(s):

Nonlinear Stability ◽

Wave Equations ◽

Second Order ◽

Stability And Convergence ◽

Linear Wave ◽

Highly Oscillatory ◽

Linear Wave Equations ◽

Erkn Integrators

Efficient implementation of the ARKN and ERKN integrators for multi-frequency oscillatory systems with multiple time scales

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.12.014 ◽

2020 ◽

Vol 151 ◽

pp. 13-26

Author(s):

Wei Shi ◽

Xinyuan Wu ◽

Kai Liu

Keyword(s):

Time Scales ◽

Efficient Implementation ◽

Multiple Time Scales ◽

Multiple Time ◽

Oscillatory Systems ◽

Erkn Integrators

ERKN integrators solving multi-frequency highly oscillatory systems with applications

10.1063/1.5043650 ◽

2018 ◽

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Oscillatory Systems ◽

Highly Oscillatory ◽

Erkn Integrators ◽

Highly Oscillatory Systems

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

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

Diagonal Implicit Symmetric ERKN Integrators for Solving Oscillatory Reversible Systems

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-017-0413-6 ◽

2017 ◽

Vol 3 (S1) ◽

pp. 1229-1247 ◽

Cited By ~ 1

Author(s):

Hao Zhang ◽

Mingxue Shi ◽

Jiyong Li ◽

Bin Wang

Keyword(s):

Reversible Systems ◽

Erkn Integrators

erkn integrators
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations

Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

Efficient implementation of the ARKN and ERKN integrators for multi-frequency oscillatory systems with multiple time scales

ERKN integrators solving multi-frequency highly oscillatory systems with applications

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

The Construction of Arbitrary Order ERKN Integrators via Group Theory

Diagonal Implicit Symmetric ERKN Integrators for Solving Oscillatory Reversible Systems

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erkn integratorsRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations

Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

Efficient implementation of the ARKN and ERKN integrators for multi-frequency oscillatory systems with multiple time scales

ERKN integrators solving multi-frequency highly oscillatory systems with applications

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

The Construction of Arbitrary Order ERKN Integrators via Group Theory

Diagonal Implicit Symmetric ERKN Integrators for Solving Oscillatory Reversible Systems

erkn integrators
Recently Published Documents