Alexander H Barnett
Associate Professor
Department of Physics and Astronomy
Dartmouth College
United States of America
Biography
Martin N Wybourne is currently working as Adjunct Associate Professor of Physics and Astronomy, Dartmouth Colleges, USA. His research interests are Nanotechnology, Electron and Phonon Transport
Research Interest
Numerical analysis, scientific computing, computational partial differential equations: wave scattering, periodic problems and photonic crystals, integral equations, quadrature, PDE eigenvalue problems, heat equation. Mathematical physics: quantum chaos, Laplace eigenfunctions, ergodicity and scarring, billiards. Applied mathematics: mathematical ecology (animal home range modeling), inverse problems in imaging (diffuse optical tomography), mathematics o
Publications
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A H Barnett and L Greengard, “A new integral representation for quasi-periodic scattering problems in two dimensions,†BIT Numerical Mathematics 51, 67-90 (2011).
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A H Barnett and A Hassell, “Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues,†SIAM Journal on Numerical Analysis 49, 1046-1063 (2011).
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A H Barnett and A Hassell, “Fast computation of high frequency Dirichlet eigenmodes via the spectral flow of the interior Neumann-to-Dirichlet map,†in press, Communications on Pure and Applied Mathematics (2012)
