Advertisement

Discrete Simulation in Nonlinear Dynamics with Applications

  • Donald Greenspan
Part of the Mathematics and Its Applications book series (MAIA, volume 528)

Abstract

Contemporary science teaches us that:
  1. (a)

    All things change with time.

     
  2. (b)

    All material bodies consist of atoms and/or molecules.

     

Keywords

Water Drop Total Potential Energy Vortex Motion Nonlinear Mechanics Collision Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Hirschfelder, J., Curtiss, C., and Bird, R., Molecular Theory of Gases and Liquids, Wiley, New York, 1965.Google Scholar
  2. [2]
    Greenspan, D., Arithmetic Applied Mathematics, Pergamon, Oxford, 1980.MATHGoogle Scholar
  3. [3]
    Greenspan, D. and Heath, L., Supercomputer simulation of the modes of colliding microdrops of water, J. Phys. D, 24, 1991, 2121.CrossRefGoogle Scholar
  4. [4]
    Greenspan, D., Supercomputer simulation of cracks and fractures by quasimolecular dynamics, J. Phys. Chem. Solids, 50, 1989, 1245.CrossRefGoogle Scholar
  5. [5]
    Greenspan, D., Quasimolecular simulation of large liquid drops, J. Phys. D, 22, 1989, 1415.CrossRefGoogle Scholar
  6. [6]
    Greenspan, D., Particle simulation of large carbon dioxide bubbles in water, Appl. Math. Mod., 19, 1995, 738.MATHCrossRefGoogle Scholar
  7. [7]
    Korlie, M., Ph.D. thesis, Mathematics, UT Arlington, 1996.Google Scholar
  8. [8]
    Greenspan, D., Particle modelling of cavity flow on a vector computer, Comp. Meth. Appl. Math. Eng., 66, 1988, 291.MATHCrossRefGoogle Scholar
  9. [9]
    Greenspan, D., Particle simulatio of biological sorting on a supercomputer, Comp. Math. Applic., 18, 1989, 823.MathSciNetCrossRefGoogle Scholar
  10. [10]
    Greenspan, D., Mechanisms of capillarity via supercomputer simulation, Comp. Math. Applic., 16, 1988, 141.MathSciNetCrossRefGoogle Scholar
  11. [11]
    Greenspan, D. and Casulli, V., Particle modelling of an elastic arch, Appl. Math. Mod., 9, 1985, 215.MATHCrossRefGoogle Scholar
  12. [12]
    Greenspan, D., Computer-oriented n-body modeling of minimal surfaces, Appl. Math. Mod., 7, 1983, 423.MathSciNetMATHCrossRefGoogle Scholar
  13. [13]
    Coppin, C. and Greenspan, D., A contribution to the modelling of soap films, Appl. Math. Comp., 26, 1988, 315.MathSciNetMATHGoogle Scholar
  14. [14]
    Greenspan, D., TR 167, Comp. Sci. Dept., UW Madison, 1972.Google Scholar
  15. [15]
    Greenspan, D., Quasimolecular channel and vortex modelling on a supercomputer, Comp. Math. Applic., 15, 1988, 331.MathSciNetCrossRefGoogle Scholar
  16. [16]
    Goldstine, H., Classical Mechanics, 2nd edition, A.-W., Reading, 1980.Google Scholar
  17. [17]
    Greenspan, D., Completely conservative, covariant numerical methodology, Comp. Math. Applic., 29, 1995, 37.MathSciNetMATHCrossRefGoogle Scholar
  18. [18]
    Simo, J. and Tarnow, N., The discrete energy-momentum method. Conserving algorithms for nonlinear elasodynamics, ZAMP, 43, 1992, 757.MathSciNetMATHCrossRefGoogle Scholar
  19. [19]
    Greenspan, D., Covariant computation in special relativistic dynamics, Physica Scripta, 52, 1995, 353.MathSciNetMATHCrossRefGoogle Scholar
  20. [20]
    Greenspan, D., Electron attraction as a mechanism for the chemical bond of ground state H 2 Physica Scripta, 52, 1995, 267.MathSciNetGoogle Scholar
  21. [21]
    Greenspan, D., A semiclassical, dynamical model of the water molecule, Physica Scripta, 54, 1996, 458.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Donald Greenspan
    • 1
  1. 1.Department of MathematicsThe University of Texas at ArlingtonArlingtonUSA

Personalised recommendations