Description

This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high-precision asymptotic methods for determining eigenvalues and eigenfunctions of higher oscillation modes and consider numerous eigenvalue problems that appear in oscillation theory, acoustics, elasticity, hydrodynamics, geophysics, quantum mechanics, structural mechanics, electrodynamics, and microelectronics.

High-Precision Methods in Eigenvalue Problems and Their Applications

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Hardback by Leonid D. Akulenko , Sergei V. Nesterov

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This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new... Read more

    Publisher: Taylor & Francis Ltd
    Publication Date: 15/10/2004
    ISBN13: 9780415309936, 978-0415309936
    ISBN10: 041530993X

    Number of Pages: 260

    Non Fiction , Technology, Engineering & Agriculture , Education

    Description

    This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high-precision asymptotic methods for determining eigenvalues and eigenfunctions of higher oscillation modes and consider numerous eigenvalue problems that appear in oscillation theory, acoustics, elasticity, hydrodynamics, geophysics, quantum mechanics, structural mechanics, electrodynamics, and microelectronics.

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