Geometric and computational spectral theory : centre de recherches mathematiques proceedings / [edited by] Alexandre Girouard...[et al.].

Includes bibliographical references.

The spectrum of the Laplacian: A geometric approach / Bruno Colbois -- An elementary introduction to quantum graphs / Gregory Berkolaiko -- A free boundary approach to the Faber-Krahn inequality / Dorin Bucur and Pedro Freitas -- Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$ / Pierre Bérard and Bernard Helffer -- Numerical solution of linear eigenvalue problems / Jessica Bosch and Chen Greif -- Finite element methods for variational eigenvalue problems / Guido Kanschat -- Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces / Alexander Strohmaier -- Scales, blow-up and quasimode constructions / Daniel Grieser -- Scattering for the geodesic flow on surfaces with boundary / Colin Guillarmou.

The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Seminaire de Mathematiques Superieures on Geometric and Computational Spectral Theory, held from June 15-26, 2015, at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.