Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
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Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-981-16-0147-7
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Book Chapters
The following chapters of this book are listed in IDEAS- Xinyuan Wu & Bin Wang, 2021. "Oscillation-Preserving Integrators for Highly Oscillatory Systems of Second-Order ODEs," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 1-45, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 47-74, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 75-122, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Functionally-Fitted Energy-Preserving Integrators for Poisson Systems," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 123-146, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Exponential Collocation Methods for Conservative or Dissipative Systems," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 147-177, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Volume-Preserving Exponential Integrators," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 179-211, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Global Error Bounds of One-Stage Explicit ERKN Integrators for SemilinearWave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 213-233, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Linearly-Fitted Conservative (Dissipative) Schemes for Nonlinear Wave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 235-261, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Energy-Preserving Schemes for High-Dimensional Nonlinear KG Equations Energy-preserving schemes High-dimensional nonlinear KG equation," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 263-297, Springer.
- Xinyuan Wu & Bin Wang, 2021. "High-Order Symmetric Hermite–Birkhoff Time Integrators for Semilinear KG Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 299-349, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Symplectic Approximations for Efficiently Solving Semilinear KG Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 351-391, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Continuous-Stage Leap-Frog Schemes for Semilinear Hamiltonian Wave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 393-426, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 427-458, Springer.
- Xinyuan Wu & Bin Wang, 2021. "Long-Time Momentum and Actions Behaviour of Energy-Preserving Methods for Wave Equations," Springer Books, in: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, chapter 0, pages 459-496, Springer.
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