By Leonid D. Akulenko, Sergei V. Nesterov
This e-book provides a survey of analytical, asymptotic, numerical, and mixed equipment of fixing eigenvalue difficulties. It considers the hot approach to sped up convergence for fixing difficulties of the Sturm-Liouville sort in addition to boundary-value issues of boundary stipulations of the 1st, moment, and 3rd type. The authors additionally current high-precision asymptotic equipment for picking eigenvalues and eigenfunctions of upper oscillation modes and view quite a few eigenvalue difficulties that seem in oscillation idea, acoustics, elasticity, hydrodynamics, geophysics, quantum mechanics, structural mechanics, electrodynamics, and microelectronics.