By Xinyuan Wu,Kai Liu,Wei Shi
This booklet describes various powerful and effective structure-preserving algorithms for second-order oscillatory differential equations. Such structures come up in lots of branches of technological know-how and engineering, and the examples within the publication contain platforms from quantum physics, celestial mechanics and electronics. To correctly 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 ebook describes novel advances in RKN equipment, ERKN tools, Filon-type asymptotic tools, AVF tools, and trigonometric Fourier collocation methods. The accuracy and potency of every of those algorithms are proven through cautious numerical simulations, and their structure-preserving homes are carefully tested by means of theoretical research. The booklet additionally offers insights into the sensible implementation of the methods.
This publication is meant for engineers and scientists investigating oscillatory platforms, in addition to for academics and scholars who're attracted to structure-preserving algorithms for differential equations.
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Structure-Preserving Algorithms for Oscillatory Differential Equations II by Xinyuan Wu,Kai Liu,Wei Shi
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