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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: 78.24 MB
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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:
Authors: Nail H. 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: 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
Language: en
Pages:
Authors: Nail H. 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: 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: Mathematics
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, 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.
Analysis of Weakly Compressible Turbulence using Symmetry Methods and Direct Numerical Simulation
Language: de
Pages: 220
Authors: Nail H. Ibragimov
Categories: Technology & Engineering
Type: BOOK - Published: 2005-02-02 - Publisher: Cuvillier Verlag
Diese Arbeit entstand im Rahmen des Forschungsvorhabens zur statistischen Beschreibung kompressibler turbulenter Scherströmungen mittels einer neuen Methodik. In dieser werden Skalengesetze für die Favre-gemittelten Transportgleichungen für kompressible turbulente Strömungen mittels der Theorie der Lie-, Symmetrie- oder auch Transformationsgruppen bestimmt. Im Wesentlichen umfasst die Arbeit die Erweiterung der Methode der Symmetriegruppen für die inkompressiblen Strömungen auf kompressible Scherströmungen. Der dabei beschrittene Weg basiert auf einer vollständig nicht-linearen Vorgehensweise und läßt sich ausschließlich aus den, die kompressible Strömung beschreibenden Gleichungen, den Navier-Stokes Gleichungen, herleiten. Neue Modellierungshilfen werden aus dem umfangreicheren Satz von Symmetriegruppen für kompressible Strömungen erarbeitet. Weiterhin werden auf der Grundlage der gewonnenen Ergebnisse Turbulenzmodelle validiert und eigene Modellansätze entwickelt. Die Kalibrierung der analytisch ermittelten Gesetze erfolgt anhand von Daten, welche in Direkter Numerischer Simulation (DNS) ermittelt wurden. Dazu wurden kompressible Direkte Numerische Simulationen auf parallelen Großrechnern durchgeführt, welche eine weitere differenzierte Datenbasis für kompressible turbulente Strömungen darstellen. Gruppenparameter, die sich aus den Symmetriemethoden ergeben, werden anhand der numerischen Berechnungen ermittelt. Damit werden die Koeffizienten der Skalengesetze in den turbulenten gemittelten Größen bestimmt. Für die Modellierung stehen somit Skalengesetze mit dem einzig freien, die Kompressibilität beschreibenden Parameter, der Machzahl, zur Verfügung.
Crc Handbook of Lie Group Analysis of Differential Equations
Language: en
Pages:
Authors: Taylor & Francis Group
Categories: Technology & Engineering
Type: BOOK - Published: 2018-09-30 - Publisher:
Books about Crc Handbook of Lie Group Analysis of Differential Equations