High-Precision Methods in Eigenvalue Problems and Their Applications

Leonid D. Akulenko, Sergei V. Nesterov

October 15, 2004 by Chapman and Hall/CRC
Reference - 260 Pages
ISBN 9780415309936 - CAT# TF1675

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Summary

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.