Structure-Preserving Algorithms for Oscillatory Differential Equations II

1. Matrix-Variation-of-Constants Formula
Xinyuan Wu, Kai Liu, Wei Shi

2. Improved Störmer–Verlet Formulae with Applications
Xinyuan Wu, Kai Liu, Wei Shi

3. Improved Filon-Type Asymptotic Methods for Highly Oscillatory Differential Equations
Xinyuan Wu, Kai Liu, Wei Shi

4. Efficient Energy-Preserving Integrators for Multi-frequency Oscillatory Hamiltonian Systems
Xinyuan Wu, Kai Liu, Wei Shi

5. An Extended Discrete Gradient Formula for Multi-frequency Oscillatory Hamiltonian Systems
Xinyuan Wu, Kai Liu, Wei Shi

6. Trigonometric Fourier Collocation Methods for Multi-frequency Oscillatory Systems
Xinyuan Wu, Kai Liu, Wei Shi

7. Error Bounds for Explicit ERKN Integrators
for Multi-frequency Oscillatory Systems
Xinyuan Wu, Kai Liu, Wei Shi

8. Error Analysis of Explicit TSERKN Methods for Highly Oscillatory Systems
Xinyuan Wu, Kai Liu, Wei Shi

9. Highly Accurate Explicit Symplectic ERKN Methods for Multi-frequency Oscillatory Hamiltonian Systems
Xinyuan Wu, Kai Liu, Wei Shi

10. Multidimensional ARKN Methods forGeneral Multi-frequency Oscillatory Second-Order IVPs
Xinyuan Wu, Kai Liu, Wei Shi

11. A Simplified Nyström-Tree Theory for ERKN Integrators Solving Oscillatory Systems
Xinyuan Wu, Kai Liu, Wei Shi

12. General Local Energy-Preserving Integrators for Multi-symplectic Hamiltonian PDEs
Xinyuan Wu, Kai Liu, Wei Shi

Avainsanat: Engineering, Appl.Mathematics/Computational Methods of Engineering, Theoretical, Mathematical and Computational Physics, Computational Science and Engineering