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E-raamat: Finite Element Methods for Eigenvalue Problems

(Michigan Technological University, Houghton, USA), (Chinese Academy of Sciences, Beijing, China)
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Covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level.



Praise for the previous edition

“I highly recommend the book, especially for the curious graduate student."

—Joe Coyle, Mathematical Reviews

Finite Element Methods for Eigenvalue Problems covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.

New to the second edition

· Two brand new chapters

· Copious revisions of existing chapters

· Revised references throughout.

1 Functional Analysis . 2 Finite Elements . 3 Laplace Eigenvalue Problem
. 4 Biharmonic Eigenvalue Problem . 5 Maxwell Eigenvalue Problem . 6
Quad-curl Eigenvalue Problem . 7 Transmission Eigenvalue Problem . 8
Schrödinger Eigenvalue Problem . 9 Adaptive Finite Element Approximations .
10 Scattering Resonances. 11 Matrix Eigenvalue Problems. 12 Contour Integral
Based Eigensolvers.
Jiguang Sun is the Richard and Elizabeth Henes Endowed Professor of Mathematics at Michigan Technological University. He received his B.S. from Tsinghua University in 1996 and his Ph.D. from the University of Delaware in 2005. His research interests include numerical analysis, computational methods for eigenvalue problems, and inverse scattering theory.

Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He received his Ph.D. from the Institute of Systems Science of the Chinese Academy of Sciences in 1991. His research focuses on mathematical understanding and numerical approximation of electronic structure models and related topics.
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