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Geometric and Computational Spectral Theory
About this Title
Alexandre Girouard, Université Laval, Québec, Québec, Canada, Dmitry Jakobson, McGill University, Montréal, Québec, Canada, Michael Levitin, University of Reading, Reading, United Kingdom, Nilima Nigam, Simon Frasier University, Burnaby, British Columbia, Canada, Iosif Polterovich, Université de Montréal, Montréal, Québec, Canada and Frédéric Rochon, Université du Québec à Montréal, Montréal, Québec, Canada, Editors
Publication: Contemporary Mathematics
Publication Year:
2017; Volume 700
ISBNs: 978-1-4704-2665-1 (print); 978-1-4704-4258-3 (online)
DOI: https://doi.org/10.1090/conm/700
Table of Contents
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Front/Back Matter
Articles
- Bruno Colbois – The spectrum of the Laplacian: A geometric approach
- Gregory Berkolaiko – An elementary introduction to quantum graphs
- Dorin Bucur and Pedro Freitas – A free boundary approach to the Faber-Krahn inequality
- Pierre Bérard and Bernard Helffer – Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$
- Jessica Bosch and Chen Greif – Numerical solution of linear eigenvalue problems
- Guido Kanschat – Finite element methods for variational eigenvalue problems
- Alexander Strohmaier – Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
- Daniel Grieser – Scales, blow-up and quasimode constructions
- Colin Guillarmou – Scattering for the geodesic flow on surfaces with boundary