LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION

Authors

  • Decio Levi Dipartimento di Matematica e Fisica, Universitá degli Studi Roma Tre and INFN, Sezione Roma Tre, Via della Vasca Navale 84, 00184 Roma
  • Pavel Winternitz Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, QC, H3C 3J7

DOI:

https://doi.org/10.14311/AP.2013.53.0438

Abstract

We briefly review two different methods of applying Lie group theory in the numerical solution of ordinary differential equations. On specific examples we show how the symmetry preserving discretization provides difference schemes for which the “first differential approximation” is invariant under the same Lie group as the original ordinary differential equation.

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Published

2013-10-29

How to Cite

Levi, D., & Winternitz, P. (2013). LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION. Acta Polytechnica, 53(5), 438–443. https://doi.org/10.14311/AP.2013.53.0438

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Articles