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Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond by C. Lin-Ioan Gheorghiu - Paperback
296.39 AED

Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond by C. Lin-Ioan Gheorghiu - Paperback

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Category Type
Mathematics
ISBN
9783319062297
Author
C. Lin-Ioan Gheorghiu
Publisher
Springer
Description:

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 ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783319062297
    Languages
    English
    Item EAN
    2724436099930
    People
    Author
    C. Lin-Ioan Gheorghiu
    Category Type
    Mathematics
    ISBN
    9783319062297
    Languages
    English
    Item EAN
    2724436099930
    People
    Author
    C. Lin-Ioan Gheorghiu
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): C. Lin-Ioan Gheorghiu
    • Publisher: Springer
    • ISBN: 9783319062297
    • Number of Pages: 120
    • Dimensions: 9 x 6.1 x 0.3 inches
 

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