Recent development in structure-preserving algorithms for oscillatory differential equations

✍ Scribed by WU, XINYUAN, WANG BIN

Publisher: Springer
Year: 2018
Tongue: English
Leaves: 356
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Functionally fitted continuous finite element methods for oscillatory Hamiltonian system.- Exponential average-vector-field integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for first-order differential Equations.- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems.- The construction of arbitrary order ERKN integrators via group theory.- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems.- A compact tri-colored tree theory for general ERKN methods.- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations.- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations.- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations.- An essential extension of the finite-energy condition for ERKN integrators solving nonlinear wave equations.- Index

✦ Subjects

Mathematics;Algorithms;Computational complexity;Mathematics of Algorithmic Complexity;Complexity

📜 SIMILAR VOLUMES

Recent developments in structure-preserv

📁 Recent developments in structure-preserving algorithms for oscillatory differential equations

✍ Wu K., Wang BIN 📂 Library 📅 2018 🏛 SPRINGER Verlag, SINGAPOR 🌐 English

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

Structure-preserving algorithms for osci

📁 Structure-preserving algorithms for oscillatory differential equations

✍ Xinyuan Wu; Xiong You; Bin Wang 📂 Library 📅 2013 🏛 Springer 🌐 English

Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorit

Structure-Preserving Algorithms for Osci

📁 Structure-Preserving Algorithms for Oscillatory Differential Equations II

✍ Xinyuan Wu, Kai Liu, Wei Shi 📂 Library 📅 2015 🏛 Springer Berlin 🌐 English

<p>This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mechani

Structure-Preserving Algorithms for Osci

📁 Structure-Preserving Algorithms for Oscillatory Differential Equations II

✍ Xinyuan Wu, Kai Liu, Wei Shi 📂 Library 📅 2016 🏛 Springer 🌐 English

This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mechanics

Structure-Preserving Algorithms for Osci

📁 Structure-Preserving Algorithms for Oscillatory Differential Equations II

✍ Xinyuan Wu, Kai Liu, Wei Shi (auth.) 📂 Library 📅 2015 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mech

Geometric Numerical Integration: Structu

📁 Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

✍ Ernst Hairer, Gerhard Wanner, Christian Lubich (auth.) 📂 Library 📅 2002 🏛 Springer Berlin Heidelberg 🌐 English