CRC Handbook of Lie Group Analysis of Differential Equations (vol. 3): New Trends in Theoretical Developments and Computational Methods
| Authors | Ibragimov, Nail H. |
| Tags | Science, Algebra, Differential equations, Mathematical & Computational, Differential equations—Numerical solutions, Physics, Mathematics, Lie groups, General |
| Publisher | CRC Press |
| Published | 23 ott 1995 |
| Date | 03 ago 2019 |
| Languages | eng |
| Identifiers | oclc: 488925806, isbn: 0849394198, uri: https://archive.org/details/CRCHandbookOfLieGroupAnalysisOfDifferentialEquationsexcerpts, lcn: QA372.C73 1994, google: mpm5Yq1q6T8C |
| Formats | DJVU |
Description
Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Ibragimov, Nail' Chajrullovic. 1994. CRC handbook of lie group analysis of differential equations. Boca Raton, Fla: CRC.
Nucci of
- M. C. Nucci, “The Complete Kepler Group Can Be Derived by Lie Group Analysis,” Journal of Mathematical Physics 37, no. 4 (April 1, 1996): 1772–75.
referenced herein, where Maxima SYMMGRP.MAX is used.