Geometric and Computational Spectral Theory
Will be published approx. on 30. October 2017
Book
Paperback/Softback
296 pages
978-1-4704-2665-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
College/higher education
Dimensions
Height: 254 mm
Width: 178 mm
Weight
440 gr
ISBN-13
978-1-4704-2665-1 (9781470426651)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
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.
Content
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.
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.