CRC Handbook of Lie Group Analysis of Differential Equations, Volume I: Symmetries, Exact Solutions, and Conservation Laws
Autor Nail H. Ibragimoven Limba Engleză Hardback – 28 iun 2018
Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-B lund, 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.
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Specificații
ISBN-13: 9781138401983
ISBN-10: 1138401986
Pagini: 448
Dimensiuni: 156 x 234 mm
Greutate: 1.73 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
ISBN-10: 1138401986
Pagini: 448
Dimensiuni: 156 x 234 mm
Greutate: 1.73 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Public țintă
ProfessionalCuprins
APPARATUS OF GROUP ANALYSIS: Lie Theory of Differential Equations: One Parameter Transformation Groups. Integration of Second-Order Ordinary Differential Equations. Group Classification of Second-Order Ordinary Differential Equations. Invariant Solutions. Generalizations: Lie-Bäcklund Transformation Groups. Noether-Type Conservation Theorems. Non-Local Symmetry Generators via Bäcklund Transformations. BODY OF RESULTS: Ordinary Differential Equations. Second Order Partial Differential Equations with Two Independent Variables. Evolution Equations I: Diffusion Equations. Evolution Equations II: General Case. Wave Equations. Hydro- and Gas- Dynamics. Hydrodynamic-Type Systems. Integrodifferential Equations. COMPUTER ASPECTS: Applications of Group Theory in Computation. Symmetry of Finite-Difference Equations. References. Indices.
Descriere
Presents an introduction to the modern group analysis. This work covers topics such as Lie-Backlund, 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.