Geometric and Computational Spectral Theory

Häftad, Engelska, 2017

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2017-10-30
Mått:178 x 254 x undefined mm
Vikt:440 g
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:296
Förlag:American Mathematical Society
ISBN:9781470426651

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

B. Colbois, The spectrum of the Laplacian: A geometric approachG. Berkolaiko, An elementary introduction to quantum graphsD. Bucur and P. Freitas, A free boundary approach to the Faber-Krahn inequalityP. 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 problemsG. Kanschat, Finite element methods for variational eigenvalue problemsA. Strohmaier, Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfacesD. Grieser, Scales, blow-up and quasimode constructionsC. Guillarmou, Scattering for the geodesic flow on surfaces with boundary.