2nd Edition

Finite Element Methods for Eigenvalue Problems

By Jiguang Sun, Aihui Zhou Copyright 2026
374 Pages 60 B/W Illustrations
by Chapman & Hall

374 Pages 60 B/W Illustrations
by Chapman & Hall

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... Read more

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

Biography

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.