Spectral methods for non-standard Eigenvalue problems [electronic resource] : fluid and structural mechanics and beyond / Călin-Ioan Gheorghiu.
2014
QA193
Linked e-resources
Linked Resource
Online Access
Details
Title
Spectral methods for non-standard Eigenvalue problems [electronic resource] : fluid and structural mechanics and beyond / Călin-Ioan Gheorghiu.
ISBN
9783319062303 electronic book
3319062301 electronic book
9783319062297
3319062301 electronic book
9783319062297
Published
Cham : Springer, 2014.
Language
English
Description
1 online resource (xii, 120 pages) : illustrations (some color).
Item Number
10.1007/978-3-319-06230-3 doi
Call Number
QA193
Dewey Decimal Classification
512.9/436
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed May 2, 2014).
Series
SpringerBriefs in mathematics, 2191-8198
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources