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

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


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About the Book

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.

Table of Contents:
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

Review :
"This handbook is a welcome addition to the literature on the theory and applications of symmetries of differential equations...novel...insightful...valuable...a wealth of information." - Juha Pohjanpelto, Oregon State University, Corvallis


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Product Details
  • ISBN-13: 9781040294109
  • Publisher: Taylor & Francis Ltd
  • Binding: Digital (delivered electronically)
  • ISBN-10: 1040294103
  • Publisher Date: 01 Nov 2024
  • Language: English


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