On simulations of the classical harmonic oscillator equation by difference equations

DOI10.1155/ADE/2006/40171zbMath1139.65056arXivphysics/0507182WikidataQ59212423 ScholiaQ59212423MaRDI QIDQ2472196

Bogusław Ratkiewicz, Jan L. Cieśliński

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0507182

zbMATH Keywords

finite difference methodEuler methoddamped harmonic oscillator equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (10)

Locally exact modifications of numerical schemes ⋮ Exact discretization of Schrödinger equation ⋮ Exact discretization by Fourier transforms ⋮ New definitions of exponential, hyperbolic and trigonometric functions on time scales ⋮ Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time ⋮ Fast exact digital differential analyzer for circle generation ⋮ Improving the accuracy of the AVF method ⋮ An orbit-preserving discretization of the classical Kepler problem ⋮ Locally exact modifications of discrete gradient schemes ⋮ Maximal regularity of the discrete harmonic oscillator equation

Cites Work

• The problem of integrable discretization: Hamiltonian approach
• Bäcklund transformations for the Caudrey–Dodd–Gibbon–Sawada–Kotera equation and its λ-modified equation
• Differential and Difference Equations
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