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.
Read or Download Structure-Preserving Algorithms for Oscillatory Differential Equations II PDF
Best differential equations books
Subject matters in Hyperplane preparations, Polytopes and Box-Splines brings jointly many parts of study that concentrate on how you can compute the variety of essential issues in appropriate households or variable polytopes. the themes brought extend upon differential and distinction equations, approximation idea, cohomology, and module concept.
Difference Algebra: 8 (Algebra and Applications) - download pdf or read online
Distinction algebra grew out of the examine of algebraic distinction equations with coefficients from practical fields. the 1st degree of this improvement of the speculation is linked to its founder, J. F. Ritt (1893-1951), and R. Cohn, whose publication distinction Algebra (1965) remained the one basic monograph at the topic for a few years.
Topics in Modern Regularity Theory: 13 (Publications of the by Giuseppe Mingione PDF
This ebook includes lecture notes of a chain of classes at the regularity thought of partial differential equations and variational difficulties, held in Pisa and Parma within the years 2009 and 2010. The participants, Nicola Fusco, Tristan Rivière and Reiner Schätzle, supply 3 up to date and vast introductions to numerous points of contemporary Regularity idea touching on: mathematical modelling of skinny movies and similar loose discontinuity difficulties, research of conformally invariant variational difficulties through conservation legislation, and the research of the Willmore sensible.
Daniel W. Stroock's An Introduction to Markov Processes (Graduate Texts in PDF
This ebook offers a rigorous yet user-friendly advent to the idea of Markov methods on a countable kingdom area. it may be available to scholars with a superior undergraduate heritage in arithmetic, together with scholars from engineering, economics, physics, and biology. subject matters lined are: Doeblin's thought, common ergodic homes, and non-stop time tactics.
- Fundamentals of Differential Equations w/BVP (Featured Titles for Differential Equations)
- On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows (Springer Monographs in Mathematics)
- Schwarz-Christoffel Mapping (Cambridge Monographs on Applied and Computational Mathematics)
- Discrete Element Analysis Methods of Generic Differential Quadratures: 25 (Lecture Notes in Applied and Computational Mechanics)
- Schaum's Outline of Differential Equations, 4th Edition (Schaum's Outline Series)
Extra resources for Structure-Preserving Algorithms for Oscillatory Differential Equations II
Example text
Structure-Preserving Algorithms for Oscillatory Differential Equations II by Xinyuan Wu,Kai Liu,Wei Shi
by James
4.1