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CRC Handbook of Lie Group Analysis of Differential Equations, Volume III - Nail H. Ibragimov

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III

Buch | Hardcover
552 Seiten
1995
Crc Press Inc (Verlag)
978-0-8493-9419-5 (ISBN)
CHF 99,45 inkl. MwSt
Written by the world's leading experts in the field, 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.
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.

Ibragimov, Nail H.

Apparatus of Group Analysis
Lie-Bäcklund Symmetries: Representation by Formal Power Series
Approximate Transformation Groups
Differential Equations with Distributions: Group Theoretic Treatment of Fundamental Solutions
Recursions
Calculation of Symmetry Groups for Integro-Differential Equations
Body of Results
Group Theoretic Modeling
Generalized Hydrodynamic-Type Systems
Ordinary Differential Equations
Differential Equations with a Small Parameter: Exact and Approximate Symmetries
Differential Constraints
Non-Classical and Conditional Symmetries
Quasi-Exactly-Solvable Differential Equations
Computational Methods
Symbolic Software for Lie Symmetry Analysis
Interactive REDUCE Programs for Caculating Lie Point, Non-Classical, Lie-Bäcklund, and Approximate Symmetries of Differential Equations: Manual and Floppy Disk

Erscheint lt. Verlag 24.10.1995
Zusatzinfo 7 Tables, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 156 x 234 mm
Gewicht 1180 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 0-8493-9419-8 / 0849394198
ISBN-13 978-0-8493-9419-5 / 9780849394195
Zustand Neuware
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