Concept

Intégration (mathématiques)

Publications associées (311)

Using Separable Nonnegative Matrix Factorization Techniques for the Analysis of Time-Resolved Raman Spectra

The key challenge of time-resolved Raman spectroscopy is the identification of the constituent species and the analysis of the kinetics of the underlying reaction network. In this work we present an integral approach that allows for determining both the co ...

Sage Publications Inc2016

Contributions to 3D differential microwave imaging

Michael Mattes, Mina Bjelogrlic, Benjamin Fuchs

This paper presents new contributions to forward and inverse problems in 3D differential microwave imaging. This technique is well suited to monitor a pathological evolution, for instance the brain stroke of a patient. The forward problem is solved using a ...

2016

Removing and Adding Edges for the Traveling Salesman Problem

Ola Nils Anders Svensson

We present a framework for approximating the metric TSP based on a novel use of matchings. Traditionally, matchings have been used to add edges to make a given graph Eulerian, whereas our approach also allows for the removal of certain edges leading to a d ...

Assoc Computing Machinery2016

On the born approximation for differential microwave imaging using volume integral equation formulation

Juan Ramon Mosig, Michael Mattes, Mina Bjelogrlic, Benjamin Fuchs

The Degree of Non-Linearity (DNL) of scattering problems and specifically of differential Microwave Imaging (dMWI) problems is addressed in this paper. The quantification of the DNL amounts to evaluate the validity range of the Born first order (linear) ap ...

2016

Learning from the slums for the Development of Emerging Cities

This book deals with slums as a specific question and a central focus in urban planning. It radically reverses the official version of the history of world cities as narrated during decades: slums are not at the margin of the contemporary process of urbani ...

Springer International Publishing2016

Calculus of variations with differential forms

Bernard Dacorogna, Saugata Bandyopadhyay, Swarnendu Sil

We study integrals of the form integral(Omega) f (d omega), where 1

European Mathematical Soc2015

Accuracy of surface integral equation matrix elements in plasmonic calculations

Olivier Martin, Raziman Thottungal Valapu, Eric Claude Le Ru

We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to c ...

Optical Soc Amer2015

Numerical methods for nanophotonics: standard problems and future challenges

Olivier Martin, Jérémy Butet, Benjamin Gallinet

Nanoscale photonic systems involve a broad variety of light-matter interaction regimes beyond the diffraction limit and have opened the path for a variety of application opportunities in sensing, solid-state lighting, light harvesting, and optical signal p ...

Wiley-VCH Verlag Berlin2015

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Charles Stuart

We consider bifurcation from the line of trivial solutions for a nonlinear eigenvalue problem on a bounded open subset, Omega, of R-N with N >= 3, containing 0. The leading term is a degenerate elliptic operator of the form L(u) = del . A del u where A is ...

Pergamon-Elsevier Science Ltd2015

Regularity for Double Phase Variational Problems

Maria Colombo

We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient . The model case is given by the ...

2015

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