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.
Read or Download Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF
Best Algorithms books
AI Algorithms, facts buildings, and Idioms in Prolog, Lisp, and Java
Rarely used e-book, in good shape.
This e-book may be of curiosity to stats teachers who wish ready-made information units entire with notes for instructing.
This notable textual content for graduate scholars and researchers proposes advancements to latest algorithms, extends their comparable mathematical theories, and provides information on new algorithms for approximating neighborhood and worldwide minima. not one of the algorithms calls for an review of derivatives; all count totally on sequential functionality overview, a hugely useful situation within the widespread occasion of difficult-to-evaluate derivatives.
Squid is the preferred internet caching software program in use this present day, and it really works on numerous systems together with Linux, FreeBSD, and home windows. Squid improves community functionality by way of decreasing the volume of bandwidth used whilst browsing the net. It makes web content load swifter and will even decrease the burden in your net server.
Extra info for Structure-Preserving Algorithms for Oscillatory Differential Equations II
- Download E-books Algorithms for Continuous Optimization: The State of the Art PDF
- Download E-books Algorithms and Data Structures: 13th International Symposium, WADS 2013, London, ON, Canada, August 12-14, 2013. Proceedings PDF