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Partial Differential Equation and Noise
In this work we present examples of the effects of noise on the solution of a partial differential equation (PDE) in three different settings. We will first consider... -
Theoretical Study and numerical approximation of an inverse problem of heat t...
We are interested in studying a heat transfer problem which modeling a welding process. The approach that we consider deals only with the solid part of the plate. It... -
Mathematical modelling of atherosclerosis
Atherosclerosis is an inflammatory disease which starts when low density lipoproteins (LDL) enter the intima of blood vessel where they are oxidized (ox-LDL). The... -
Some applications of the least squares method to differential equations and r...
International audience -
Control Theory and Fast Marching Methods for Brain Connectivity Mapping
We propose a novel, fast and robust technique for the computation of anatomical connectivity in the brain. Our approach exploits the information provided by Diffusion... -
A Riemannian Framework for Tensor Computing
Positive definite symmetric matrices (so-called tensors in this article) are nowadays a common source of geometric information. In this paper, we propose to provide... -
Detecting codimension-two objects in an image with Ginzburg-Landau models
In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect... -
Total variation of the control and energy of bilinear quantum systems
International audience -
Spatial migration
URL des Documents de travail : http://centredeconomiesorbonne.univ-paris1.fr/bandeau-haut/documents-de-travail/ -
Proceedings of First GEODIFF Workshop
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Pricing the Weather Derivatives in the Presence of Long Memory in Temperatures
Weather derivatives are financial contracts for which the underlying is not a traded asset. Therefore, they cannot be priced by the traditional financial theory based... -
Impact of flow-level dynamics on QoE of video streaming in wireless networks
International audience -
Matrix Krylov methods applied to partial differential equations
This thesis deals with some matrix equations involved in numerical resolution of partial differential equations and linear control. We first consider some numerical... -
A Domain Specific Embedded Language in C++ for lowest-order methods for diffu...
Industrial simulation software has to manage: (i) the complexity of the underlying physical models,usually expressed in terms of a PDE system completed with algebraic... -
Eikonal equation adaptation on weighted graphs: fast geometric diffusion proc...
International audience -
Multi-fluid flows : mathematical analysis, modelling and simulation.
This thesis contains three independent parts. The first part presents a proof of existence of weak global solutions to a Vlasov-incompressible-Navier-Stokes system... -
Stochastic differential equations : strong well-posedness of singular and deg...
This thesis deals with two subjects: the strong well-posedness of stochastic differential equations with Hölder drift and hypoelliptic noise and the simulation of... -
Dynamics of p53 in single cells: physiologically based ODE and reaction-diffu...
Phys. Biol. 11 (2014) 045001
