Published November 24, 2010
| Version v1
Journal article
Time-Symmetric Discretization of The Harmonic Oscillator
Creators
- 1. Departement de Physique Universite du Quebec a Trois-Rivieres Trois-Rivieres, Quebec, G9A 5H7 (Canada)
- 2. Centre for Hyperincursion and Anticipation in Ordered Systems, CHAOS asbl, Institute of Mathematics, B37, University of Liege Grande Traverse 12, B-4000 LIEGE 1 (Belgium)
Description
We explicitly and analytically demonstrate that simple time-symmetric discretization of the harmonic oscillator (used as a simple model of a discrete dynamical system), leads to discrete equations of motion whose solutions are perfectly stable at all time scales, and whose energy is exactly conserved. This result is important for both fundamental discrete physics, as well as for numerical analysis and simulation.
Additional details
Identifiers
- DOI
- 10.1063/1.3527146;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1303
- Journal Issue
- 1
- Journal Page Range
- p. 121-125
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 9. international conference on computing anticipatory systems
- Acronym
- CASYS '09
- Dates
- 3-8 Aug 2009
- Place
- Liege (Belgium)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42099717
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ENERGY CONSERVATION; EQUATIONS OF MOTION; HARMONIC OSCILLATORS; NUMERICAL ANALYSIS; SIMULATION; SOLUTIONS; SYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DISPERSIONS; EQUATIONS; HOMOGENEOUS MIXTURES; MATHEMATICS; MIXTURES; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Notes
- (c) 2010 American Institute of Physics