Symmetry-preserving discrete schemes for some heat transfer equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2004
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912655634071552 |
|---|---|
| author | Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman |
| author_facet | Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman |
| contents | Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc. In this paper we present three characteristic examples of the construction of invariant difference equations and meshes, where the original continuous symmetries are preserved in discrete models. Conservation of symmetries in difference modeling helps to retain qualitative properties of the differential equations in their difference counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0402367 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Symmetry-preserving discrete schemes for some heat transfer equations Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman Numerical Analysis Adaptation and Self-Organizing Systems Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc. In this paper we present three characteristic examples of the construction of invariant difference equations and meshes, where the original continuous symmetries are preserved in discrete models. Conservation of symmetries in difference modeling helps to retain qualitative properties of the differential equations in their difference counterparts. |
| title | Symmetry-preserving discrete schemes for some heat transfer equations |
| topic | Numerical Analysis Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/math/0402367 |