Read e-book online Structure-Preserving Algorithms for Oscillatory Differential PDF

By Xinyuan Wu,Kai Liu,Wei Shi

ISBN-10: 364244556X

ISBN-13: 9783642445569

ISBN-10: 3662481553

ISBN-13: 9783662481554

This e-book describes a number of powerful and effective structure-preserving algorithms for second-order oscillatory differential equations. Such platforms come up in lots of branches of technological know-how and engineering, and the examples within the booklet comprise structures from quantum physics, celestial mechanics and electronics. To adequately simulate the real habit of such structures, a numerical set of rules needs to look after up to attainable their key structural homes: time-reversibility, oscillation, symplecticity, and effort and momentum conservation. The publication describes novel advances in RKN tools, ERKN equipment, Filon-type asymptotic equipment, AVF tools, and trigonometric Fourier collocation methods.  The accuracy and potency of every of those algorithms are established through cautious numerical simulations, and their structure-preserving houses are carefully proven by means of theoretical research. The booklet additionally supplies insights into the sensible implementation of the methods.

This ebook is meant for engineers and scientists investigating oscillatory structures, in addition to for academics and scholars who're attracted to structure-preserving algorithms for differential equations.

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Read or Download Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF

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Structure-Preserving Algorithms for Oscillatory Differential Equations II by Xinyuan Wu,Kai Liu,Wei Shi


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