Spectral Methods for Non-Standard Eigenvalue Problems | Fluid and Structural Mechanics and Beyond
Idioma: inglés
Editorial: Springer, 2014
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Spectral Methods for Non-Standard Eigenvalue Problems | Fluid and Structural Mechanics and Beyond | C¿lin-Ioan Gheorghiu | Taschenbuch | SpringerBriefs in Mathematics | xii | Englisch | 2014 | Springer | EAN 9783319062297 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
N° de ref. del artículo 105317197
- Título
- Spectral Methods for Non-Standard Eigenvalue Problems | Fluid and Structural Mechanics and Beyond
- Autor
- C¿lin-Ioan Gheorghiu
- Editorial
- Springer
- Año de publicación
- 2014
- Estado
- Neu
- Encuadernación
- Taschenbuch
- Idioma
- inglés
- ISBN 10
- 3319062298
- ISBN 13
- 9783319062297
- Peso del artículo
- 213 gramos
- Dimensiones
- 235 x 155 x 8 mm
- Serie
- Libro 43 de 155: SpringerBriefs in Mathematics
- Catálogos de vendedores
- Bücher
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.
“Sinopsis” puede pertenecer a otra edición de este título.
De la contraportada
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.
“Acerca de” puede pertenecer a otra edición de este título.
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