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.

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


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