Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Xi’an Jiaotong University, School of Mathematics and Statistics

in Springer Books from Springer

Date: 2021
ISBN: 978-981-16-0147-7
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Chapters in this book:

Ch Chapter 1 Oscillation-Preserving Integrators for Highly Oscillatory Systems of Second-Order ODEs

Xinyuan Wu and Bin Wang

Ch Chapter 10 High-Order Symmetric Hermite–Birkhoff Time Integrators for Semilinear KG Equations

Xinyuan Wu and Bin Wang

Ch Chapter 11 Symplectic Approximations for Efficiently Solving Semilinear KG Equations

Xinyuan Wu and Bin Wang

Ch Chapter 12 Continuous-Stage Leap-Frog Schemes for Semilinear Hamiltonian Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 13 Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 14 Long-Time Momentum and Actions Behaviour of Energy-Preserving Methods for Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 2 Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Xinyuan Wu and Bin Wang

Ch Chapter 3 Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Xinyuan Wu and Bin Wang

Ch Chapter 4 Functionally-Fitted Energy-Preserving Integrators for Poisson Systems

Xinyuan Wu and Bin Wang

Ch Chapter 5 Exponential Collocation Methods for Conservative or Dissipative Systems

Xinyuan Wu and Bin Wang

Ch Chapter 6 Volume-Preserving Exponential Integrators

Xinyuan Wu and Bin Wang

Ch Chapter 7 Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 8 Linearly-Fitted Conservative (Dissipative) Schemes for Nonlinear Wave Equations

Xinyuan Wu and Bin Wang

Ch Chapter 9 Energy-Preserving Schemes for High-Dimensional Nonlinear KG Equations Energy-preserving schemes High-dimensional nonlinear KG equation

Xinyuan Wu and Bin Wang

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DOI: 10.1007/978-981-16-0147-7

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