| Автор | Mickens, Ronald E. |
| Дата выпуска | 2005 |
| dc.description | The need often arises to analyze the dynamics of a system in terms of a discrete formulation. This can occur by using an a priori discrete model of the system or by discretizing a continuous model. For the latter case, the continuous model is represented by differential equations and the discrete forms come from the requirement to numerically integrate these equations. The concept of “dynamic consistency” plays an essential role in the construction of such discrete models which usually are expressed as finite difference equations. We define this concept and illustrate its application to the construction of nonstandard finite difference schemes. |
| Формат | application.pdf |
| Издатель | Taylor & Francis GroupAbingdon, UK |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Dynamic consistency |
| Тема | nonstandard finite difference schemes |
| Тема | positivity |
| Тема | difference equations |
| Тема | numerical analysis |
| Тема | 39A10 |
| Тема | 39A12 |
| Тема | 65L12 |
| Тема | 65M06 |
| Название | Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations |
| Тип | research-article |
| DOI | 10.1080/10236190412331334527 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 11 |
| Первая страница | 645 |
| Последняя страница | 653 |
| Выпуск | 7 |
