Share

Structure-Preserving Algorithms for Oscillatory Differential Equations

2013-02-02 Technology & Engineering
Download Structure-Preserving Algorithms for Oscillatory Differential Equations PDF Online Free

Author :
Release : 2013-02-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 38X/5 ( reviews)

GET EBOOK


Book Synopsis Structure-Preserving Algorithms for Oscillatory Differential Equations by : Xinyuan Wu

Download or read book Structure-Preserving Algorithms for Oscillatory Differential Equations written by Xinyuan Wu. This book was released on 2013-02-02. Available in PDF, EPUB and Kindle. Book excerpt: 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 algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

Structure-Preserving Algorithms for Oscillatory Differential Equations II

2016-03-03 Technology & Engineering
Download Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF Online Free

Author :
Release : 2016-03-03
Genre : Technology & Engineering
Kind : eBook
Book Rating : 561/5 ( reviews)

GET EBOOK


Book Synopsis Structure-Preserving Algorithms for Oscillatory Differential Equations II by : Xinyuan Wu

Download or read book Structure-Preserving Algorithms for Oscillatory Differential Equations II written by Xinyuan Wu. This book was released on 2016-03-03. Available in PDF, EPUB and Kindle. Book excerpt: 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 and electronics. To accurately simulate the true behavior of such systems, a numerical algorithm must preserve as much as possible their key structural properties: time-reversibility, oscillation, symplecticity, and energy and momentum conservation. The book describes novel advances in RKN methods, ERKN methods, Filon-type asymptotic methods, AVF methods, and trigonometric Fourier collocation methods. The accuracy and efficiency of each of these algorithms are tested via careful numerical simulations, and their structure-preserving properties are rigorously established by theoretical analysis. The book also gives insights into the practical implementation of the methods. This book is intended for engineers and scientists investigating oscillatory systems, as well as for teachers and students who are interested in structure-preserving algorithms for differential equations.

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

2018-04-19 Mathematics
Download Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations PDF Online Free

Author :
Release : 2018-04-19
Genre : Mathematics
Kind : eBook
Book Rating : 041/5 ( reviews)

GET EBOOK


Book Synopsis Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations by : Xinyuan Wu

Download or read book Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations written by Xinyuan Wu. This book was released on 2018-04-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Structure-preserving Algorithms for Oscillatory Differential Equations

2013 Differential equations, Nonlinear
Download Structure-preserving Algorithms for Oscillatory Differential Equations PDF Online Free

Author :
Release : 2013
Genre : Differential equations, Nonlinear
Kind : eBook
Book Rating : 201/5 ( reviews)

GET EBOOK


Book Synopsis Structure-preserving Algorithms for Oscillatory Differential Equations by : Xinyuan Wu

Download or read book Structure-preserving Algorithms for Oscillatory Differential Equations written by Xinyuan Wu. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: 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 algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations.

Structure-preserving Algorithms for Oscillatory Differential Equations

2015 Differential equations, Nonlinear
Download Structure-preserving Algorithms for Oscillatory Differential Equations PDF Online Free

Author :
Release : 2015
Genre : Differential equations, Nonlinear
Kind : eBook
Book Rating : 185/5 ( reviews)

GET EBOOK


Book Synopsis Structure-preserving Algorithms for Oscillatory Differential Equations by : Xinyuan Wu

Download or read book Structure-preserving Algorithms for Oscillatory Differential Equations written by Xinyuan Wu. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:

You may also like...