Symmetry analysis of differential equations with Mathematica
著者
書誌事項
Symmetry analysis of differential equations with Mathematica
Springer-Verlag TELOS, The Electronic Library of Science, c2000
- : hard
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注記
System requirements for accompanying computer disc: Windows 95; Mac; UNIX
Includes bibliographical references (p. [493]-502) and indexes
1 CD-ROM in pocket (12 cm)
内容説明・目次
内容説明
The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.
目次
Introduction.- Elements of Symmetry Analysis.- Derivatives.- Symmetries of Ordinary Differential Equations.- Point Symmetries of Partial Differential Equations.- Non-Classical Symmetries of Partial Differential Equations.- Potential Symmetries of Partial Differential Equations.- Approximate Symmetries of Partial Differential Equations.- Generalized Symmetries of Partial Differential Equations.- Solution of Coupled Linear Partial Differential Equations.- Appendix.- Index.
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