N-body problems and models / Donald Greenspan.

Format:

Book

Author/Creator:

Greenspan, Donald.

Language:

English

Subjects (All):

Many-body problem--Computer simulation.

Many-body problem.

Many-body problem--Mathematical models.

Molecules--Computer simulation.

Molecules.

Physical Description:

1 online resource (193 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hong Kong : World Scientific, c2004.

Language Note:

English

Summary:

The 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.

Contents:

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 Solitons

12. 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; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 175-177) and index.

ISBN:

9786611877040

9781281877048

1281877042

9789812565495

9812565493

OCLC:

475947762