Spectral Methods for Non-Standard Eigenvalue Problems

Name: Spectral Methods for Non-Standard Eigenvalue Problems
Brand: Springer International Publishing AG
SKU: 9783319062297
Price: 50.19 EUR
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Fluid and Structural Mechanics and Beyond

Autor: Calin-Ioan Gheorghiu

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer International Publishing AG

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This book focuses on the constructive and practical aspects of spectral methods. It rigorously exami...

Informácie o knihe

Autor

Calin-Ioan Gheorghiu

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2014

Stránok

120

EAN

9783319062297

ISBN

3319062298

Enbook ID

02544947

Vydavateľ

Springer International Publishing AG

Hmotnosť

2117

Rozmery

155 x 235 x 8

Kompletný popis

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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Spectral Methods for Non-Standard Eigenvalue Problems

Fluid and Structural Mechanics and Beyond

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