High-Precision Methods in Eigenvalue Problems and Their Applications

by Leonid D. Akulenko, Sergei V. Nesterov

Overview

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

Product Details

ISBN-13:	9781134390212
Publisher:	CRC Press
Publication date:	10/15/2004
Sold by:	Barnes & Noble
Format:	eBook
Pages:	260
File size:	3 MB

About the Author

Akulenko, Leonid D.; Nesterov, Sergei V.

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.