High-Precision Methods in Eigenvalue Problems and Their Applications
High-Precision Methods in Eigenvalue Problems and Their Applications by Leonid D. Akulenko, Sergei V. Nesterov
English | 2004 | ISBN: 041530993X | 260 Pages | PDF | 4.2 MB
English | 2004 | ISBN: 041530993X | 260 Pages | PDF | 4.2 MB
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.