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Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
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Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-981-10-9004-2
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Book Chapters
The following chapters of this book are listed in IDEAS- Xinyuan Wu & Bin Wang, 2018. "Functionally Fitted Continuous Finite Element Methods for Oscillatory Hamiltonian Systems," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 1-28, Springer.
- Xinyuan Wu & Bin Wang, 2018. "Exponential Average-Vector-Field Integrator for Conservative or Dissipative Systems," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 29-53, Springer.
- Xinyuan Wu & Bin Wang, 2018. "Exponential Fourier Collocation Methods for First-Order Differential Equations," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 55-84, Springer.
- Xinyuan Wu & Bin Wang, 2018. "Symplectic Exponential Runge–Kutta Methods for Solving Nonlinear Hamiltonian Systems," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 85-106, Springer.
- Xinyuan Wu & Bin Wang, 2018. "High-Order Symplectic and Symmetric Composition Integrators for Multi-frequency Oscillatory Hamiltonian Systems," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 107-133, Springer.
- Xinyuan Wu & Bin Wang, 2018. "The Construction of Arbitrary Order ERKN Integrators via Group Theory," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 135-165, Springer.
- Xinyuan Wu & Bin Wang, 2018. "Trigonometric Collocation Methods for Multi-frequency and Multidimensional Oscillatory Systems," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 167-192, Springer.
- Xinyuan Wu & Bin Wang, 2018. "A Compact Tri-Colored Tree Theory for General ERKN Methods," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 193-220, Springer.
- Xinyuan Wu & Bin Wang, 2018. "An Integral Formula Adapted to Different Boundary Conditions for Arbitrarily High-Dimensional Nonlinear Klein–Gordon Equations," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 221-250, Springer.
- Xinyuan Wu & Bin Wang, 2018. "An Energy-Preserving and Symmetric Scheme for Nonlinear Hamiltonian Wave Equations," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 251-268, Springer.
- Xinyuan Wu & Bin Wang, 2018. "Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 269-316, Springer.
- Xinyuan Wu & Bin Wang, 2018. "An Essential Extension of the Finite-Energy Condition for ERKN Integrators Solving Nonlinear Wave Equations," Springer Books, in: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, chapter 0, pages 317-342, Springer.
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