Crc Handbook Of Lie Group Analysis Of Differential Equations


Crc Handbook Of Lie Group Analysis Of Differential Equations
Author: Nail H. Ibragimov
Publisher: CRC Press
ISBN: 9780849394195
Size: 17.63 MB
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Crc Handbook Of Lie Group Analysis Of Differential Equations

eBook File: Crc-handbook-of-lie-group-analysis-of-differential-equations.PDF Book by Nail H. Ibragimov, Crc Handbook Of Lie Group Analysis Of Differential Equations Books available in PDF, EPUB, Mobi Format. Download Crc Handbook Of Lie Group Analysis Of Differential Equations books, 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
Language: en
Pages: 560
Authors: Nail H. Ibragimov
Categories: Mathematics
Type: BOOK - Published: 1995-10-24 - Publisher: CRC Press
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
Language: en
Pages: 448
Authors: Nail H. Ibragimov
Categories: Mathematics
Type: BOOK - Published: 1993-10-20 - Publisher: CRC Press
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
Language: en
Pages: 576
Authors: Nail H. Ibragimov
Categories: Mathematics
Type: BOOK - Published: 1994-11-28 - Publisher: CRC Press
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
Language: en
Pages: 429
Authors: Nail H. Ibragimov
Categories: Lie algebras
Type: BOOK - Published: 2018-06-28 - Publisher: CRC Press
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-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.
CRC Handbook of Lie Group Analysis of Differential Equations
Language: en
Pages: 448
Authors: N. Kh. Ibragimov
Categories: Mathematics
Type: BOOK - Published: 1993-10-20 - Publisher: CRC-Press
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
Language: en
Pages:
Authors: N. Kh. Ibragimov
Categories: Differential equations
Type: BOOK - Published: 1994 - Publisher:
Books about CRC Handbook of Lie Group Analysis of Differential Equations
CRC Handbook of Lie Group Analysis of Differential Equations
Language: en
Pages: 560
Authors: N. Kh. Ibragimov
Categories: Mathematics
Type: BOOK - Published: 1995-10-24 - Publisher: CRC-Press
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.
Introduction to Symmetry Analysis Paperback with CD-ROM
Language: en
Pages: 612
Authors: Brian Cantwell
Categories: Mathematics
Type: BOOK - Published: 2002-09-23 - Publisher: Cambridge University Press
Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-B�cklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.
Analysis of Weakly Compressible Turbulence Using Symmetry Methods and Direct Numerical Simulation
Language: en
Pages: 201
Authors: Raphael Gotthard Harald Arlitt
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: Cuvillier Verlag
Books about Analysis of Weakly Compressible Turbulence Using Symmetry Methods and Direct Numerical Simulation
Journal of Physics
Language: en
Pages:
Authors: Raphael Gotthard Harald Arlitt
Categories: Mathematical physics
Type: BOOK - Published: 2002 - Publisher:
Books about Journal of Physics