Geometric and Computational Spectral Theory

Geometric and Computational Spectral Theory

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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.
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Product details

  • Paperback | 296 pages
  • 178 x 254mm | 503g
  • Providence, United States
  • English
  • 147042665X
  • 9781470426651

Table of contents

B. Colbois, The spectrum of the Laplacian: A geometric approach
G. Berkolaiko, An elementary introduction to quantum graphs
D. Bucur and P. Freitas, A free boundary approach to the Faber-Krahn inequality
P. Berard and B. Helffer, Some nodal properties of the quantum harmonic oscillator and other Schrodinger operators in $\mathbb{R}^2$
J. Bosch and C. Greif, Numerical solution of linear eigenvalue problems
G. Kanschat, Finite element methods for variational eigenvalue problems
A. Strohmaier, Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
D. Grieser, Scales, blow-up and quasimode constructions
C. Guillarmou, Scattering for the geodesic flow on surfaces with boundary.
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About Alexandre Girouard

Alexandre Girouard, Universite Laval, Quebec, Quebec, Canada.

Dmitry Jakobson, McGill University, Montreal, Quebec, Canada.

Michael Levitin, University of Reading, United Kingdom.

Nilima Nigam, Simon Frasier University, Burnaby, British Columbia, Canada.

Iosif Polterovich, Universite de Montreal, Quebec, Canada.

Frederic Rochon, Universite du Quebec a Montreal, Quebec, Canada.
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