| 000 | 03649nam a2200553 i 4500 | ||
|---|---|---|---|
| 001 | 6267271 | ||
| 003 | IEEE | ||
| 005 | 20220712204615.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 151224s2003 maua ob 001 eng d | ||
| 010 | _z 88000600 (print) | ||
| 020 |
_a9780262256254 _qelectronic |
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| 020 |
_z9780262571920 _qprint |
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| 020 | _z026207110X | ||
| 035 | _a(CaBNVSL)mat06267271 | ||
| 035 | _a(IDAMS)0b000064818b423f | ||
| 040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
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| 050 | 4 |
_aQC20.7.P67 _bG74 1988eb |
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| 082 | 0 | 0 |
_a530.1/557 _219 |
| 100 | 1 |
_aGreengard, Leslie, _eauthor. _921859 |
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| 245 | 1 | 4 |
_aThe rapid evaluation of potential fields in particle systems / _cLeslie Greengard. |
| 264 | 1 |
_aCambridge, Massachusetts : _bMIT Press, _cc1988. |
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| 264 | 2 |
_a[Piscataqay, New Jersey] : _bIEEE Xplore, _c[2003] |
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| 300 |
_a1 PDF (iv, 90 pages) : _billustrations. |
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| 336 |
_atext _2rdacontent |
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| 337 |
_aelectronic _2isbdmedia |
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| 338 |
_aonline resource _2rdacarrier |
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| 490 | 1 | _aACM distinguished dissertations | |
| 500 | _aIncludes index. | ||
| 502 | _aThesis (doctoral)--Yale University. | ||
| 504 | _aIncludes bibliographical references (p. )[87]-90. | ||
| 506 | 1 | _aRestricted to subscribers or individual electronic text purchasers. | |
| 520 | _aThe 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.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. | ||
| 530 | _aAlso available in print. | ||
| 538 | _aMode of access: World Wide Web | ||
| 588 | _aDescription based on PDF viewed 12/24/2015. | ||
| 650 | 0 |
_aPotential theory (Mathematics) _921860 |
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| 650 | 0 |
_aParticles. _910753 |
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| 650 | 0 |
_aAlgorithms. _93390 |
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| 650 | 0 |
_aMathematical physics. _911013 |
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| 655 | 0 |
_aElectronic books. _93294 |
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| 710 | 2 |
_aIEEE Xplore (Online Service), _edistributor. _921861 |
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| 710 | 2 |
_aMIT Press, _epublisher. _921862 |
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| 776 | 0 | 8 |
_iPrint version _z9780262571920 |
| 830 | 0 |
_aACM distinguished dissertations _921754 |
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| 856 | 4 | 2 |
_3Abstract with links to resource _uhttps://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6267271 |
| 942 | _cEBK | ||
| 999 |
_c72929 _d72929 |
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