Showing 2012 · math.NAShow all

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math.NA2012★ 30 cited

Multiscale Modeling and Simulation of Organic Solar Cells

Carlo de Falco, Matteo Porro, Riccardo Sacco +1

In this article, we continue our mathematical study of organic solar cells (OSCs) and propose a two-scale (micro- and macro-scale) model of heterojunction OSCs with interface geome…

math.NA2012★ 29 cited

Analytical and Numerical Study of Photocurrent Transients in Organic Polymer Solar Cells

Carlo de Falco, Riccardo Sacco, Maurizio Verri

This article is an attempt to provide a self consistent picture, including existence analysis and numerical solution algorithms, of the mathematical problems arising from modeling…

math.NA2012

Contraction and optimality properties of adaptive Legendre-Galerkin methods: the 1-dimensional case

Claudio Canuto, Ricardo H. Nochetto, Marco Verani

As a first step towards a mathematically rigorous understanding of adaptive spectral/ discretizations of elliptic boundary-value problems, we study the performance of adaptive…

math.NA2012

Parsimonious Mahalanobis Kernel for the Classification of High Dimensional Data

M. Fauvel, A. Villa, J. Chanussot +1

The classification of high dimensional data with kernel methods is considered in this article. Exploit- ing the emptiness property of high dimensional spaces, a kernel based on the…

math.NA2012★ 3 cited

Adaptive Fourier-Galerkin Methods

Claudio Canuto, Ricardo H. Nochetto, Marco Verani

We study the performance of adaptive Fourier-Galerkin methods in a periodic box in with dimension . These methods offer unlimited approximation power only re…