03022nam 2200637Ia 450 991078322080332120200520144314.01-281-87704-29786611877040981-256-549-3(CKB)1000000000033263(EBL)238326(OCoLC)475947762(SSID)ssj0000208991(PQKBManifestationID)11186678(PQKBTitleCode)TC0000208991(PQKBWorkID)10244151(PQKB)10045483(MiAaPQ)EBC238326(WSP)00005444(Au-PeEL)EBL238326(CaPaEBR)ebr10088368(CaONFJC)MIL187704(OCoLC)61395451(PPN)181402572(EXLCZ)99100000000003326320040813d2004 uy 0engur|n|---|||||txtccrN-body problems and models[electronic resource] /Donald GreenspanSingapore ;Hong Kong World Scientificc20041 online resource (193 p.)Description based upon print version of record.981-238-722-6 Includes bibliographical references (p. 175-177) and index.Preface; Contents; Problem Statement; 1. The 1-Body Problem; 2. N-Body Problems with 2 10000. The Cavity Problem; 5. N(Number of Molecules) > 10000. Crack and Fracture Development; 6. N(Molecules) > 10000. Contact Angle of Adhesion; 7. A Particle Model of Carbon Dioxide Bubbles in Water; 8. A Particle Model a Dodecahedral Rotating Top; 9. A Particle Model of Self Reorganization; 10. Particle Model of a Bouncing Elastic Ball; 11. Particle Model of String Solitons12. Particle Models of Minimal Surfaces and Saddle SurfacesAppendix I A Generic Program for Kutta's Fourth Order Formulas for Second Order Initial Value Problems; Appendix II Newton's Iteration Formulas for Systems of Algebraic and Transcendental Equations; Appendix III The Leap Frog Formulas; References and Additional Sources; IndexThe study and application of N-body problems has had animportant role in the history of mathematics. In recent years, theavailability of modern computer technology has added to theirsignificance, since computers can now be used to model material bodiesas atomic and molecular configurations, i.e. as N-bodyconfigurations.Many-body problemComputer simulationMany-body problemMathematical modelsMoleculesComputer simulationMany-body problemComputer simulation.Many-body problemMathematical models.MoleculesComputer simulation.530.14/4Greenspan Donald12697MiAaPQMiAaPQMiAaPQBOOK9910783220803321N-body problems and models3812787UNINA