Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications

  • Donald Greenspan


The conservation laws of Newtonian dynamics are described and discussed forN-body problems. The related dynamical, nonlinear equations are then approximated by a new class of difference equations. These difference equations preserve the very same conservations laws as the differential equations. They are also shown to be covariant under fundamental coordinate transformations. Applications of current interest are discussed.


Angular Momentum Linear Momentum Electron Attraction Newtonian Dynamic Completely Conservative 
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.


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Copyright information

© Birkhäuser-Verlag 1995

Authors and Affiliations

  • Donald Greenspan
    • 1
  1. 1.Department of MathematicsUniversity of TexasArlingtonU.S.A.

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