Topological structure preserving numerical simulations of dynamical models
| dc.contributor.author | Anguelov, Roumen | |
| dc.contributor.author | Popova, Evgenija D. | |
| dc.contributor.email | roumen.anguelov@up.ac.za | en_US |
| dc.date.accessioned | 2010-07-07T06:22:49Z | |
| dc.date.available | 2010-07-07T06:22:49Z | |
| dc.date.issued | 2010-06 | |
| dc.description.abstract | This paper brings together two methods producing numerical solutions with a statement of their quality - the nonstandard finite difference method and the method of validated computing. It deals with the construction and the analysis of reliable numerical discretizations of dynamical systems by employing these two techniques. An epidemiological model is used as a model example for their combined application. | en |
| dc.identifier.citation | R. Anguelov, E.D. Popova, Topological structure preserving numerical simulations of dynamical models, Journal of Computational and Applied Mathematics (2010), doi:10.1016/j.cam.2010.05.038 | en |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.other | 10.1016/j.cam.2010.05.038 | |
| dc.identifier.uri | http://hdl.handle.net/2263/14405 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | Elsevier | en_US |
| dc.subject | Nonstandard finite difference method | en |
| dc.subject | Validated computing | en |
| dc.subject | Dynamic consistency | en |
| dc.subject.lcsh | Numerical analysis | en |
| dc.title | Topological structure preserving numerical simulations of dynamical models | en |
| dc.type | Postprint Article | en |