001412226 000__ 03355cam\a2200493Ka\4500 001412226 001__ 1412226 001412226 003__ MaCbMITP 001412226 005__ 20240325105211.0 001412226 006__ m\\\\\o\\d\\\\\\\\ 001412226 007__ cr\cn\nnnunnun 001412226 008__ 130212s1988\\\\maua\\\\obm\\\001\0\eng\d 001412226 020__ $$a9780262256254$$q(electronic bk.) 001412226 020__ $$a0262256258$$q(electronic bk.) 001412226 020__ $$z026207110X 001412226 020__ $$z9780262071109 001412226 035__ $$a(OCoLC)827307434 001412226 035__ $$a(OCoLC-P)827307434 001412226 040__ $$aOCoLC-P$$beng$$epn$$cOCoLC-P 001412226 050_4 $$aQC20.7.P67$$bG74 1988eb 001412226 08204 $$a530.1/557$$222 001412226 1001_ $$aGreengard, Leslie. 001412226 24514 $$aThe rapid evaluation of potential fields in particle systems /$$cLeslie Greengard. 001412226 260__ $$aCambridge, Mass. :$$bMIT Press,$$c©1988. 001412226 300__ $$a1 online resource (iv, 90 pages) :$$billustrations. 001412226 336__ $$atext$$btxt$$2rdacontent 001412226 337__ $$acomputer$$bc$$2rdamedia 001412226 338__ $$aonline resource$$bcr$$2rdacarrier 001412226 4901_ $$aACM distinguished dissertations 001412226 500__ $$a"Leslie Greengard received his doctorate from Yale University where he is a NSF Postdoctoral Fellow in the Computer Science Department. The Rapid Evaluation of Potential Fields in Particle Systems is a 1987 ACM Distinguished Dissertation." 001412226 506__ $$aAccess limited to authorized users. 001412226 5203_ $$a"The Rapid Evaluation of Potential Fields in Particle Systems presents a group of algorithms for the computation of the potential and force fields in large-scale systems of particles that are likely to revolutionize a whole class of computer applications in science and engineering. In many areas of scientific computing, from studying the evolution of galaxies, to simulating the behavior of plasmas and fluids, to modelling chemical systems, a numerical scheme is used to follow the trajectories of a collection of particles moving in accordance with Newton's second law of motion in a field generated by the whole ensemble. Extending the earlier work of Rokhlin, Greengard has developed general, numerically stable methods for evaluating all pairwise interactions in linear time, a great improvement over the quadratic time required by the naive approach, and significantly better than any other proposed alternative. The "Rokhlin-Greengard" algorithm promises to make previously prohibitive simulations feasible, with speedups of three to four orders of magnitude in a system of a million particles. Moreover, the algorithm is well-suited for vector and parallel machines, and should make full use of their capabilities. The author presents his work with great clarity, and demonstrates the superiority of his methods both by mathematical analysis and by the results of numerical experiments." 001412226 588__ $$aOCLC-licensed vendor bibliographic record. 001412226 650_0 $$aPotential theory (Mathematics) 001412226 650_0 $$aParticles. 001412226 650_0 $$aAlgorithms. 001412226 650_0 $$aMathematical physics. 001412226 653__ $$aCOMPUTER SCIENCE/General 001412226 655_0 $$aElectronic books 001412226 852__ $$bebk 001412226 85640 $$3MIT Press$$uhttps://univsouthin.idm.oclc.org/login?url=https://doi.org/10.7551/mitpress/5750.001.0001?locatt=mode:legacy$$zOnline Access through The MIT Press Direct 001412226 85642 $$3OCLC metadata license agreement$$uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf 001412226 909CO $$ooai:library.usi.edu:1412226$$pGLOBAL_SET 001412226 980__ $$aBIB 001412226 980__ $$aEBOOK 001412226 982__ $$aEbook 001412226 983__ $$aOnline