2006•Advances in Difference EquationsOpen access
On simulations of the classical harmonic oscillator equation by difference equations
Jan L. Cieśliński, A. Ratkiewicz
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Abstract
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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