On the exact discretization of the classical harmonic oscillator equation

Abstract

We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. We present and suggest some numerical applications.

29 pages

References in corpus (2)

• Long-time behaviour of discretizations of the simple pendulum equation
• Comment on `conservative discretizations of the Kepler motion'

Cited by in corpus (1)

• Some implications of a new definition of the exponential function on time scales