The Resource Spectral methods for nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu
Spectral methods for nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu
Resource Information
The item Spectral methods for nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Spectral methods for nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 nonstandard 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
 Language
 eng
 Extent
 1 online resource (xii, 120 pages)
 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 TwoParameter Eigenvalue Problems
 Index
 Isbn
 9783319062303
 Label
 Spectral methods for nonstandard Eigenvalue problems : fluid and structural mechanics and beyond
 Title
 Spectral methods for nonstandard Eigenvalue problems
 Title remainder
 fluid and structural mechanics and beyond
 Statement of responsibility
 CălinIoan Gheorghiu
 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 nonstandard 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
 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 nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu
 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 TwoParameter 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
 10.1007/9783319062303
 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 nonstandard Eigenvalue problems : fluid and structural mechanics and beyond, CălinIoan Gheorghiu
 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 TwoParameter 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
 10.1007/9783319062303
 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
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