Publications related to First-order partial differential equation

MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs

In this work we discuss the Dynamically Orthogonal (DO) approximation of time dependent partial differential equations with random data. The approximate solution is expanded at each time instant on a time dependent orthonormal basis in the physical domain ...

MATHICSE2014

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Michaël Unser, Daniel Sage, Benjamin Rappaz, Emrah Bostan, Emmanuel Augustin Julien Froustey

We present a variational reconstruction algorithm for the phase-retrieval problem by using the differential interference contrast microscopy. Principally, we rely on the transport-of-intensity equation that specifies the sought phase as the solution of a p ...

IEEE2014

Finite elements in space and time for the analysis of generalised visco-elastic materials

Karen Scrivener, Cyrille Dunant, Alain Benjamin Giorla

Numerical analysis of linear visco-elastic materials requires robust and stable methods to integrate partial differential equations in both space and time. In this paper, symmetric space-time finite element operators are derived for the first time for elem ...

Wiley-Blackwell2014

Fano resonances in the nonlinear optical response of coupled plasmonic nanostructures

Olivier Martin, Jérémy Butet

The coupling between metallic nanostructures is a common and easy way to control the optical properties of plasmonic systems. Even though the coupling between plasmonic oscillators has been widely studied in the linear regime, its influence on the nonlinea ...

Optical Society of America2014

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

Olivier Martin, Andrea Lovera, Benjamin Gallinet

Fano resonances in hybridized systems formed from the interaction of bright modes only are reported. Despite precedent works, we demonstrate theoretically and experimentally that Fano resonances can be obtained by destructive interference between two brigh ...

Amer Chemical Soc2013

On the Electromagnetic Susceptibility of Hot Wire-Based Electroexplosive Devices to RF Sources

Nicolas Mora Parra

We present an analysis of the thermal response of a hot-wire electroexplosive device (EED) excited with different transient signals. First-order and second-order analytical models to calculate the thermal response of an EED are assessed taking as reference ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is treated individually. This method is used here to analyze gas- ...

2013

Accurate and efficient evaluation of failure probability for partial different equations with random input data

Alfio Quarteroni, Peng Chen

Several computational challenges arise when evaluating the failure probability of a given system in the context of risk prediction or reliability analysis. When the dimension of the uncertainties becomes high, well established direct numerical methods can ...

Elsevier Science Sa2013

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Juan Ramon Mosig

A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R-3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed metho ...

Elsevier2013

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

First-order partial differential equation

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MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Finite elements in space and time for the analysis of generalised visco-elastic materials

Fano resonances in the nonlinear optical response of coupled plasmonic nanostructures

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

On the Electromagnetic Susceptibility of Hot Wire-Based Electroexplosive Devices to RF Sources

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Accurate and efficient evaluation of failure probability for partial different equations with random input data

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs

Finite elements in space and time for the analysis of generalised visco-elastic materials

On the Electromagnetic Susceptibility of Hot Wire-Based Electroexplosive Devices to RF Sources

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Fano resonances in the nonlinear optical response of coupled plasmonic nanostructures

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Accurate and efficient evaluation of failure probability for partial different equations with random input data

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces