| 书目名称 | Symmetry Analysis of Differential Equations with Mathematica® |
| 编辑 | Gerd Baumann |
| 视频video | |
| 概述 | The author shows how to use Mathematica to quickly perform computations that would be both time consuming and cumbersome if done by hand.Includes a CD-ROM containing Mathematica 3.0 notebooks for inte |
| 图书封面 |  |
| 描述 | The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is available on the accompanying CD. The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie---carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here |
| 出版日期 | Book 2000 |
| 关键词 | Mathematica; Potential; algebra; calculus; computer algebra; ordinary differential equation; partial diffe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-2110-4 |
| isbn_softcover | 978-1-4612-7418-6 |
| isbn_ebook | 978-1-4612-2110-4 |
| copyright | Springer Science+Business Media New York 2000 |
发表于 2025-3-21 19:00:23
