On simulations of the classical harmonic oscillator equation by difference equations

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dc.creatorCieslinski, Jan L.
dc.creatorRatkiewicz, Boguslaw
dc.date2005-07-26
dc.date.accessioned2026-07-07T05:55:34Z
dc.date.available2026-07-07T05:55:34Z
dc.descriptionWe show that any second order linear ordinary diffrential equation with constant coefficients (including the damped and undumped harmonic oscillator equation) admits an exact discretization, i.e., there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points (a lattice). Such exact discretization is found for an arbitrary lattice spacing.
dc.description17 pages plus 7 figures
dc.identifierhttps://arxiv.org/abs/physics/0507182
dc.identifierhttp://arxiv.org/abs/physics/0507182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87284
dc.subjectPopular Physics
dc.subjectComputational Physics
dc.titleOn simulations of the classical harmonic oscillator equation by difference equations
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