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Bücher Englische Bücher Symmetry and Integration Methods for Differential Equations
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Symmetry and Integration Methods for Differential Equations
George Bluman, Stephen Anco (Gebundene Ausgabe, Englisch)
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Beschreibung
This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations as evidenced by the number of research papers, books, and new symbolic manipulation software devoted… to the subject. This is, no doubt, due to the inherent applicability of the methods to nonlinear differential equations. Symmetry methods for differential equations, originally developed by Sophus Lie in the latter half of the nineteenth century, are highly algorithmic and hence amenable to symbolic computation. These methods systematically unify and extend well-known ad hoc techniques to construct explicit solutions for differential equations, especially for nonlinear differential equations. Often ingenious tricks for solving particular differential equations arise transparently from the symmetry point of view, and thus it remains somewhat surprising that symmetry methods are not more widely known. Nowadays it is essential to learn the methods presented in this book to understand existing symbolic manipulation software for obtaining analytical results for differential equations. For ordinary differential equations (ODEs), these include reduction of order through group invariance or integrating factors. For partial differential equations (PDEs), these include the construction of special solutions such as similarity solutions or nonclassical solutions, finding conservation laws, equivalence mappings, and linearizations. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
10.07.2002
Sprache
Englisch
EAN
9780387986548
Herausgeber
Springer US
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
George Bluman, Stephen Anco
Seitenanzahl
422
Auflage
2
Einbandart
Gebundene Ausgabe
Schlagwörter
Potential, algorithms, calculus, differential equation, differential equations, lie groups, ordinary differential equation, partial differential equation, symmetry methods
Thema-Inhalt
PBW - Angewandte Mathematik
PHU - Mathematische Physik
PBK - Mathematische Analysis, allgemein
Höhe
234 mm
Breite
15.6 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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