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.
Les mer
Presents 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 in June 2015 at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory.
Les mer
  • 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.
    Les mer

    Produktdetaljer

    ISBN
    9781470426651
    Publisert
    2017-10-30
    Utgiver
    American Mathematical Society
    Vekt
    440 gr
    Høyde
    254 mm
    Bredde
    178 mm
    Aldersnivå
    P, UP, 06, 05
    Språk
    Product language
    Engelsk
    Format
    Product format
    Heftet
    Antall sider
    296

    Biografisk notat

    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.