High-Precision Methods in Eigenvalue Problems and Their Applications: 1st Edition (Hardback) book cover

High-Precision Methods in Eigenvalue Problems and Their Applications

1st Edition

By Leonid D. Akulenko, Sergei V. Nesterov

Chapman and Hall/CRC

260 pages

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pub: 2004-10-15
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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.

Table of Contents

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 Authors/Editor

Akulenko\, Leonid D.; Nesterov\, Sergei V.

Subject Categories

BISAC Subject Codes/Headings:
SCI040000
SCIENCE / Mathematical Physics
SCI041000
SCIENCE / Mechanics / General
SCI055000
SCIENCE / Physics