Coverart for item
The Resource Spectral methods for non-standard Eigenvalue problems : fluid and structural mechanics and beyond, Călin-Ioan Gheorghiu

Spectral methods for non-standard Eigenvalue problems : fluid and structural mechanics and beyond, Călin-Ioan Gheorghiu

Label
Spectral methods for non-standard Eigenvalue problems : fluid and structural mechanics and beyond
Title
Spectral methods for non-standard Eigenvalue problems
Title remainder
fluid and structural mechanics and beyond
Statement of responsibility
Călin-Ioan Gheorghiu
Creator
Author
Subject
Language
eng
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Gheorghiu, Călin Ioan
Dewey number
512.9/436
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA193
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Eigenvalues
  • Spectral theory (Mathematics)
  • MATHEMATICS
  • Eigenvalues
  • Spectral theory (Mathematics)
Label
Spectral methods for non-standard Eigenvalue problems : fluid and structural mechanics and beyond, Călin-Ioan Gheorghiu
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 General Formulation of Spectral Approximation -- 2 Tau and Galerkin Methods for Fourth Order GEPs -- 3 The Chebyshev Collocation Method -- 4 The Laguerre Collocation Method -- 5 Conclusions and Further Developments -- Appendix: Algebraic Two-Parameter Eigenvalue Problems -- Index
Control code
878962206
Dimensions
unknown
Extent
1 online resource (xii, 120 pages)
File format
unknown
Form of item
online
Isbn
9783319062303
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-06230-3
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)878962206
Label
Spectral methods for non-standard Eigenvalue problems : fluid and structural mechanics and beyond, Călin-Ioan Gheorghiu
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 General Formulation of Spectral Approximation -- 2 Tau and Galerkin Methods for Fourth Order GEPs -- 3 The Chebyshev Collocation Method -- 4 The Laguerre Collocation Method -- 5 Conclusions and Further Developments -- Appendix: Algebraic Two-Parameter Eigenvalue Problems -- Index
Control code
878962206
Dimensions
unknown
Extent
1 online resource (xii, 120 pages)
File format
unknown
Form of item
online
Isbn
9783319062303
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-06230-3
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)878962206

Library Locations

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      38.944491 -92.326012
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