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Zbl 1237.70009
Mickens, Ronald E.
A numerical integration technique for conservative oscillators combining nonstandard finite-difference methods with a Hamilton's principle.
(English)
[J] J. Sound Vib. 285, No. 1-2, 477-482 (2005). ISSN 0022-460X

Summary: Nonstandard finite difference schemes are constructed for several important conservative oscillators. These procedures combine the nonstandard methods of the author [J. Sound Vib. 240, No. 3, 587--591 (2001; Zbl 06029953)] with a discrete Hamilton's principle.
MSC 2000:
*70-08 Computational methods (mechanics of particles and systems)
65L12 Finite difference methods for ODE

Citations: Zbl 06029953

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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