High-Precision Methods in Eigenvalue Problems and Their Applications (Differential and Integral Equations and Their Applications)

Akulenko, Leonid D.; Nesterov, Sergei V.

ISBN 10: 041530993X / ISBN 13: 9780415309936

Published by Chapman & Hall/CRC, 2004

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Bibliographic Details

• Title: High-Precision Methods in Eigenvalue Problems and Their Applications (Differential and Integral Equations and Their Applications)
• Publisher: Chapman & Hall/CRC
• Publication Date: 2004
• Language: English
• ISBN 10: 041530993X
• ISBN 13: 9780415309936
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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Synopsis

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.

About the Author

Akulenko, Leonid D.; Nesterov, Sergei V.