Structure-Preserving Algorithms for Oscillatory Differential Equations II

Author:   Xinyuan Wu ,  Kai Liu ,  Wei Shi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1st ed. 2015
ISBN:  

9783662481554


Pages:   298
Publication Date:   15 March 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Structure-Preserving Algorithms for Oscillatory Differential Equations II


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Overview

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.

Full Product Details

Author:   Xinyuan Wu ,  Kai Liu ,  Wei Shi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 2015
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   6.547kg
ISBN:  

9783662481554


ISBN 10:   3662481553
Pages:   298
Publication Date:   15 March 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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The textbook demonstrates extensions and specialisations of numerical methods for the class of oscillatory problems given by second-order ordinary differential equations. This collection of scientific work is suitable for researchers as well as postgraduate students (Ph.D. students) in the field of numerical analysis. (Roland Pulch, zbMATH 1352.65187, 2017)


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