TY - BOOK ID - 32940998 TI - Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations AU - Wu, Xinyuan. AU - Wang, Bin. PY - 2018 SN - 9811090041 9811090033 PB - Singapore : Springer Singapore : Imprint: Springer, DB - UniCat KW - Differential equations. KW - Functional differential equations. KW - Mathematics. KW - Algorithms. KW - Complexity, Computational. KW - Mathematics of Algorithmic Complexity. KW - Complexity. KW - Differential equations, Functional KW - Differential equations KW - Functional equations KW - 517.91 Differential equations KW - Engineering. KW - Construction KW - Industrial arts KW - Technology KW - Computational complexity. KW - Complexity, Computational KW - Electronic data processing KW - Machine theory KW - Algorism KW - Algebra KW - Arithmetic KW - Foundations UR - https://www.unicat.be/uniCat?func=search&query=sysid:32940998 AB - 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. Most of the material presented here is drawn from the recent literature. Theoretical analysis of the newly developed schemes shows their advantages in the context of structure preservation. All the new methods introduced in this book are proven to be highly effective compared with the well-known codes in the scientific literature. This book also addresses challenging problems at the forefront of modern numerical analysis and presents a wide range of modern tools and techniques. ER -