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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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Crc Handbook Of Lie Group Analysis Of Differential Equations


Crc Handbook Of Lie Group Analysis Of Differential Equations
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Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 1995-10-24

Crc Handbook Of Lie Group Analysis Of Differential Equations written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-24 with Mathematics categories.


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.



Crc Handbook Of Lie Group Analysis Of Differential Equations Volume Iii


Crc Handbook Of Lie Group Analysis Of Differential Equations Volume Iii
DOWNLOAD
Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 2024-11-01

Crc Handbook Of Lie Group Analysis Of Differential Equations Volume Iii written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.


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.



Crc Handbook Of Lie Group Analysis Of Differential Equations


Crc Handbook Of Lie Group Analysis Of Differential Equations
DOWNLOAD
Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 1994-11-28

Crc Handbook Of Lie Group Analysis Of Differential Equations written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-28 with Mathematics categories.


Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.



Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I


Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I
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Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 2023-08-25

Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-25 with Mathematics categories.


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 the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.



Crc Handbook Of Lie Group Analysis Of Differential Equations New Trends In Theoretical Developments And Computational Methods


Crc Handbook Of Lie Group Analysis Of Differential Equations New Trends In Theoretical Developments And Computational Methods
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Author :
language : en
Publisher:
Release Date : 1993

Crc Handbook Of Lie Group Analysis Of Differential Equations New Trends In Theoretical Developments And Computational Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Differential equations categories.




Methods For Constructing Exact Solutions Of Partial Differential Equations


Methods For Constructing Exact Solutions Of Partial Differential Equations
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Author : Sergey V. Meleshko
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18

Methods For Constructing Exact Solutions Of Partial Differential Equations written by Sergey V. Meleshko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-18 with Technology & Engineering categories.


Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.



Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I


Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I
DOWNLOAD
Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 2023-08-25

Crc Handbook Of Lie Group Analysis Of Differential Equations Volume I written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-25 with Science categories.


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 the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.



Symmetries And Related Topics In Differential And Difference Equations


Symmetries And Related Topics In Differential And Difference Equations
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Author : David Blázquez-Sanz
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Symmetries And Related Topics In Differential And Difference Equations written by David Blázquez-Sanz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.



Introduction To Symmetry Analysis


Introduction To Symmetry Analysis
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Author : Brian J. Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-26

Introduction To Symmetry Analysis written by Brian J. Cantwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.




Theories Of Turbulence


Theories Of Turbulence
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Author : Martin Oberlack
language : en
Publisher: Springer
Release Date : 2014-05-04

Theories Of Turbulence written by Martin Oberlack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.


The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.