| Softcover ISBN: | 978-1-4704-2665-1 |
| Product Code: | CONM/700 |
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| eBook ISBN: | 978-1-4704-4258-3 |
| Product Code: | CONM/700.E |
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| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-2665-1 |
| eBook: ISBN: | 978-1-4704-4258-3 |
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| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-1-4704-2665-1 |
| Product Code: | CONM/700 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-4258-3 |
| Product Code: | CONM/700.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-2665-1 |
| eBook ISBN: | 978-1-4704-4258-3 |
| Product Code: | CONM/700.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
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Book DetailsContemporary MathematicsVolume: 700; 2017; 284 ppMSC: Primary 58; 35; 65
The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, 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.
This book is co-published with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in spectral theory and numerical methods.
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Table of Contents
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Articles
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Bruno Colbois — The spectrum of the Laplacian: A geometric approach
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Gregory Berkolaiko — An elementary introduction to quantum graphs
-
Dorin Bucur and Pedro Freitas — A free boundary approach to the Faber-Krahn inequality
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Pierre Bérard and Bernard Helffer — Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$
-
Jessica Bosch and Chen Greif — Numerical solution of linear eigenvalue problems
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Guido Kanschat — Finite element methods for variational eigenvalue problems
-
Alexander Strohmaier — Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
-
Daniel Grieser — Scales, blow-up and quasimode constructions
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Colin Guillarmou — Scattering for the geodesic flow on surfaces with boundary
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-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, 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.
This book is co-published with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in spectral theory and numerical methods.
-
Articles
-
Bruno Colbois — The spectrum of the Laplacian: A geometric approach
-
Gregory Berkolaiko — An elementary introduction to quantum graphs
-
Dorin Bucur and Pedro Freitas — A free boundary approach to the Faber-Krahn inequality
-
Pierre Bérard and Bernard Helffer — Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$
-
Jessica Bosch and Chen Greif — Numerical solution of linear eigenvalue problems
-
Guido Kanschat — Finite element methods for variational eigenvalue problems
-
Alexander Strohmaier — Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
-
Daniel Grieser — Scales, blow-up and quasimode constructions
-
Colin Guillarmou — Scattering for the geodesic flow on surfaces with boundary
