| 书目名称 | Scaling of Differential Equations |
| 编辑 | Hans Petter Langtangen,Geir K. Pedersen |
| 视频video | |
| 概述 | No comparable book exists.Scaling is a classical topic in applied mathematics, but here strongly connected to numerical simulations.The book contains a wide range of examples, of differing complexity, |
| 丛书名称 | Simula SpringerBriefs on Computing |
| 图书封面 |  |
| 描述 | .The book serves both as a reference forvarious scaled models with corresponding dimensionless numbers, and as aresource for learning the art of scaling. A special feature of the book is the emphasis on how to create softwarefor scaled models, based on existing software for unscaled models. ..Scaling (or non-dimensionalization) is amathematical technique that greatly simplifies the setting of input parameters innumerical simulations. Moreover, scaling enhances the understanding of howdifferent physical processes interact in a differential equation model.Compared to the existing literature, where the topic of scaling is frequentlyencountered, but very often in only a brief and shallow setting, the presentbook gives much more thorough explanations of how to reason about finding theright scales. This process is highly problem dependent, and therefore the bookfeatures a lot of worked examples, from very simple ODEs to systems of PDEs,especially from fluid mechanics...The text is easily accessible andexample-driven. The first part on ODEs fits even a lower undergraduate level,while the most advanced multiphysics fluid mechanics examples target thegraduate level. The scientific literatur |
| 出版日期 | Book‘‘‘‘‘‘‘‘ 2016 |
| 关键词 | scaling; non-dimensionalization; ordinary differential equations; partial differential equations; dimens |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-32726-6 |
| isbn_softcover | 978-3-319-32725-9 |
| isbn_ebook | 978-3-319-32726-6Series ISSN 2512-1677 Series E-ISSN 2512-1685 |
| issn_series | 2512-1677 |
| copyright | The Editor(s) (if applicable) and the Author(s) 2016 |
发表于 2025-3-21 19:23:30
