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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas, 76019, Arlington, Texas, U.S.A.

    Donald Greenspan

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  1. Donald Greenspan
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Conferenza tenuta il 17 maggio 1995

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Greenspan, D. Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Seminario Mat. e. Fis. di Milano 65, 63–87 (1995). https://doi.org/10.1007/BF02925253

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  • DOI: https://doi.org/10.1007/BF02925253

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