Download E-books Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF

By Xinyuan Wu, Kai Liu, Wei Shi

This booklet describes quite a few 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 e-book contain structures from quantum physics, celestial mechanics and electronics. To appropriately simulate the genuine 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 confirmed through cautious numerical simulations, and their structure-preserving houses are conscientiously verified via theoretical research. The publication additionally offers insights into the sensible implementation of the methods.

This e-book is meant for engineers and scientists investigating oscillatory structures, in addition to for lecturers and scholars who're drawn to structure-preserving algorithms for differential equations.

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Download E-books Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF
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