Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations By Xinyuan WuEnglish | PDF,EPUB | 2018 | 356 Pages | ISBN : 9811090033 | 20.57 MB
The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods.