Read e-book online The Rapid Evaluation of Potential Fields in Particle Systems PDF

By Leslie F. Greengard

ISBN-10: 0262571927

ISBN-13: 9780262571920

The fast review of capability Fields in Particle structures provides a gaggle of algorithms for the computation of the aptitude and strength fields in large-scale platforms of debris which are more likely to revolutionize a complete type of computing device purposes in technology and engineering.In many parts of clinical computing, from learning the evolution of galaxies, to simulating the habit of plasmas and fluids, to modelling chemical structures, a numerical scheme is used to stick with the trajectories of a set of debris relocating in keeping with Newton's moment legislation of movement in a box generated through the total ensemble. Extending the sooner paintings of Rokhlin, Greengard has constructed basic, numerically solid tools for comparing all pairwise interactions in linear time, an outstanding development over the quadratic time required through the naive strategy, and a lot better than the other proposed alternative.The "Rokhlin-Greengard" set of rules supplies to make formerly prohibitive simulations possible, with speedups of 3 to 4 orders of value in a process of 1000000 debris. in addition, the set of rules is well-suited for vector and parallel machines, and will make complete use in their services. the writer provides his paintings with nice readability, and demonstrates the prevalence of his equipment either via mathematical research and by way of the result of numerical experiments.Leslie Greengard bought his doctorate from Yale collage the place he's a NSF Postdoctoral Fellow within the laptop technological know-how division. The speedy evaluate of strength Fields in Particle structures is a 1987 ACM wonderful Dissertation.

Show description

Read Online or Download The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation) PDF

Similar mathematical physics books

Sidney Redner's A Guide to First-Passage Processes PDF

First-passage homes underlie quite a lot of stochastic procedures, akin to diffusion-limited development, neuron firing and the triggering of inventory ideas. This ebook presents a unified presentation of first-passage procedures, which highlights its interrelations with electrostatics and the ensuing robust outcomes.

P.A. Kroes's Time: Its Structure and Role in Physical Theories (Synthese PDF

This booklet at the constitution and function of time in actual theories addresses itself to scientists and philosophers intereste: 'i within the 'no man's lard' among technology and philosophy, specifically among physics and philoso phy. The p: lint of departure is actual time, Le. time as usErl 1: Y physicists of their theories; however the research isn't really oonfined to a in basic terms actual point yet caries the matter into the area of philosophical in quiry.

Download e-book for kindle: Stochastic Processes for Physicists: Understanding Noisy by Kurt Jacobs

Stochastic strategies are a necessary a part of a variety of branches of physics, in addition to in biology, chemistry, and finance. This textbook offers an effective knowing of stochastic tactics and stochastic calculus in physics, with no the necessity for degree thought. In averting degree idea, this textbook supplies readers the instruments essential to use stochastic tools in learn with no less than mathematical heritage.

Darren Walker's Computational Physics (Essentials of Physics Series) PDF

This publication offers an creation to computational physics. desktops are actually ubiquitous and are an important software to any would-be clinical researcher. pcs can be utilized for a wide selection of clinical projects, from the straightforward manipulation of knowledge to simulations of genuine international occasions. This ebook is designed to supply the reader with a grounding in medical programming.

Additional resources for The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation)

Sample text

Download PDF sample

The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation) by Leslie F. Greengard

by Kevin

Rated 4.65 of 5 – based on 35 votes