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A numerical integration technique for conservative oscillators combining nonstandard finite-difference methods with a Hamilton’s principle. (English) Zbl 1237.70009
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 1237.65103)] with a discrete Hamilton’s principle.
MSC:
70-08Computational methods (mechanics of particles and systems)
65L12Finite difference methods for ODE (numerical methods)