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High-Precision Methods in Eigenvalue Problems and Their Applications : DIFFERENTIAL AND INTEGRAL EQUATIONS AND THEIR APPLICATIONS - Leonid D. Akulenko

High-Precision Methods in Eigenvalue Problems and Their Applications

By: Leonid D. Akulenko, Sergei V. Nesterov

Hardcover | 15 October 2004 | Edition Number 1

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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.

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