CRC Handbook of Lie Group Analysis of Differential
Equations, Volume 3,
New Trends in Theoretical Developments and Computational Methods
Editor - Nail H. Ibragimov
Department of Computational and Applied Mathematics, University
of Witwatersrand, Johannesburg, South Africa
Develop computer algebraic skills and calculate symmetry algebras
with the included software!
Contributors | Description
| Features | Contents |
Audience | Publication Information and
Price
- Robert Anderson
- Vitaly Baikov
- Rafail Gazizov
- Willy Hereman
- Nail Ibragimov
- Fazal Mahomed
- Sergei Meleshko
- Maria Clara Nucci
- Peter Olver
- Michael Sheftel
- Alexander Turbiner
- Evgeny Vorob'ev
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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 modern group analysis and addresses issues
to both beginners and experienced researchers in the application
of Lie group methods.
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- Easy to read and informative
- Written by the foremost international experts
- Offers comprehensive discussions on the results of the latest
research
- Includes floppy disk with REDUCE programs
- Surveys symbolic software for Lie symmetry analysis
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Mathematicians
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Apparatus of Group Analysis
- Lie - Bäcklund Symmetries: Representation by Formal Power
Series
- Approximate Transformation Groups and Deformations of Symmetry
Lie Algebras
- Differential Equations with Distributions: Group Theoretic
Treatment of Fundamental Solutions
- Recursions
- Integro - Differential Equations
Body of Results
- Ordinary Differential Equations
- Generalized Gas-Dynamics and Semi-Hamiltonian Equations
- Galilean Principle in Diffusion Problems
- Differential Equations with a Small Parameter: Exact and Approximate
Symmetries
- Differential Constraints
- Non-Classical and Conditional Symmetries
- Quasi-Exactly-Solvable Differential Equations
Computer Aspects
- Symbolic Software for Lie Symmetry Analysis
- Interactive REDUCE Programs for Calculating Lie Point, Non-Classical,
Lie - Bäcklund, and Approximate Symmetries of Differential
Equations: Manual and Floppy Disk
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Catalog number 9419WGBA
October 1995, 560 pp., 3.5" diskette, ISBN: 0-8493-9419-8
For orders, contact our order department
, or visit the CRC Press Home Page