On simulations of the classical harmonic oscillator equation by difference equations
<p/> <p>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 correspond...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/040171 |
| _version_ | 1818521052572024832 |
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| author | Ratkiewicz Bogusław Cieśliński Jan L |
| author_facet | Ratkiewicz Bogusław Cieśliński Jan L |
| author_sort | Ratkiewicz Bogusław |
| collection | DOAJ |
| description | <p/> <p>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.</p> |
| first_indexed | 2024-12-11T01:45:50Z |
| format | Article |
| id | doaj.art-47cbbf11248f4b9cb2a5197e0e7cf52f |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-11T01:45:50Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-47cbbf11248f4b9cb2a5197e0e7cf52f2022-12-22T01:24:54ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061040171On simulations of the classical harmonic oscillator equation by difference equationsRatkiewicz BogusławCieśliński Jan L<p/> <p>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.</p>http://www.advancesindifferenceequations.com/content/2006/040171 |
| spellingShingle | Ratkiewicz Bogusław Cieśliński Jan L On simulations of the classical harmonic oscillator equation by difference equations Advances in Difference Equations |
| title | On simulations of the classical harmonic oscillator equation by difference equations |
| title_full | On simulations of the classical harmonic oscillator equation by difference equations |
| title_fullStr | On simulations of the classical harmonic oscillator equation by difference equations |
| title_full_unstemmed | On simulations of the classical harmonic oscillator equation by difference equations |
| title_short | On simulations of the classical harmonic oscillator equation by difference equations |
| title_sort | on simulations of the classical harmonic oscillator equation by difference equations |
| url | http://www.advancesindifferenceequations.com/content/2006/040171 |
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