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The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation) by Greengard L. is a nonfiction available to read on EtoBox.

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__The Rapid Evaluation of Potential Fields in Particle Systems__ presents a group of algorithms for the computation of the potential and force fields in large-scale systems of particles that are likely to revolutionize a whole class of computer applications in science and engineering. In many areas of scientific computing, from studying the evolution of galaxies, to simulating the behavior of plasmas and fluids, to modeling chemical systems, a numerical scheme is used to follow the trajectories of a collection of particles moving in accordance with Newton's second law of motion in a field generated by the whole ensemble. Extending the earlier work of Rokhlin, Greengard has developed general, numerically stable methods for evaluating all pairwise interactions in linear time, a great improvement over the quadratic time required by the naive approach, and significantly better than any other proposed alternative. The "Rokhlin-Greengard" algorithm promises to make previously prohibitive simulations feasible, with speedups of three to four orders of magnitude in a system of a million particles. Moreover, the algorithm is well-suited for vector and parallel machines, and should make full

Who reads The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation)?

Author

Greengard L.

Publisher

The MIT Press

Published

1988

Language

EN

ISBN

9780262256254

Category

nonfiction

Subjects

Science, Mathematics, Physics