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Theory and Modern Applications

On simulations of the classical harmonic oscillator equation by difference equations


We discuss the discretizations of the second-order linear ordinary diffrential equations with constant coefficients. Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points. Such exact discretization can be found for an arbitrary lattice spacing.



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Correspondence to Jan L Cieśliński.

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Cieśliński, J.L., Ratkiewicz, B. On simulations of the classical harmonic oscillator equation by difference equations. Adv Differ Equ 2006, 040171 (2006).

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