The Rapid Evaluation of Potential Fields in Particle Systems - Couverture souple

Greengard, Leslie F.

 
9780262571920: The Rapid Evaluation of Potential Fields in Particle Systems
Couverture souple
ISBN 10 : 0262571927 ISBN 13 : 9780262571920
Editeur : MIT Press, 2003

Synopsis

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 modelling 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 use of their capabilities. The author presents his work with great clarity, and demonstrates the superiority of his methods both by mathematical analysis and by the results of numerical experiments.

The Rapid Evaluation of Potential Fields in Particle Systems is a 1987 ACM Distinguished Dissertation.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Leslie Greengard received his doctorate from Yale University. He is the Director of the Courant Institute of Mathematical Sciences at New York University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
MIT Press
Date d'édition
2003
Langue
anglais
ISBN 10 
0262571927
ISBN 13 
9780262571920
Reliure
Broché
Numéro d'édition
1
Nombre de pages
108
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9780262071109: The Rapid Evaluation of Potential Fields in Particle Systems

Edition présentée

ISBN 10 :  026207110X ISBN 13 :  9780262071109
Editeur : The MIT Press, 1988
Couverture rigide