Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond - Couverture souple
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Synopsis
This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions.
The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numerical ill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems.
In addition, the book makes heavy use of the concept of pseudospectrum, which is highly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shear flows.
This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The book can also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis.
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Gheorghiu:Spectral Methods for Non-Stan (eng)
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Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond (SpringerBriefs in Mathematics)
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Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond (SpringerBriefs in Mathematics)
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Spectral Methods for Non-Standard Eigenvalue Problems
Edité par
Springer International Publishing Mai 2014, 2014
ISBN 10 : 3319062298
ISBN 13 : 9783319062297
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions.The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numerical ill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems.In addition, the book makes heavy use of the concept of pseudospectrum, which is highly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shear flows.This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The book can also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis. 132 pp. Englisch. N° de réf. du vendeur 9783319062297
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Spectral Methods for Non-Standard Eigenvalue Problems
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Spectral Methods for Non-Standard Eigenvalue Problems
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Spectral Methods for Non-Standard Eigenvalue Problems
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Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond
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Spectral Methods for Non-Standard Eigenvalue Problems
Edité par
Springer International Publishing, 2014
ISBN 10 : 3319062298
ISBN 13 : 9783319062297
Neuf
Kartoniert / Broschiert
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Constructive, practical approach of spectral solutions to non-standard differential problemsNumerous and varied examples assist the reader in smoothly understanding and learningText shows what kind of spectral method works for a particular . N° de réf. du vendeur 4497510
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Spectral Methods for Non-Standard Eigenvalue Problems
Edité par
Springer, Palgrave Macmillan Mai 2014, 2014
ISBN 10 : 3319062298
ISBN 13 : 9783319062297
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions.The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numerical ill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems.In addition, the book makes heavy use of the concept of pseudospectrum, which is highly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shear flows.This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The book can also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 132 pp. Englisch. N° de réf. du vendeur 9783319062297
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