Publications associées à Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

SLA: to Sign or Not to Sign

Gil Regev, Alain Wegmann, Gorica Tapandjieva Sekulovska

We present our experience of a three-week fieldwork in the form of a contextual inquiry with a service manager at the EPFL IT department. During these three weeks, we encounter a refusal of a user committee to sign a service-level agreement (SLA). We descr ...

CEUR Workshop Proceedings2016

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

Fabio Nobile, Lorenzo Tamellini

We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation with random data, where the random coefficient is parametrized by means of a countable sequence of terms in a ...

MATHICSE2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

Idiap2015

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

MATHICSE2015

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

Elsevier2015

Application aux équations aux dérivées partielles d'une méthode par point fixe et le problème des deux puits

Sébastien Basterrechea

This thesis consists of two parts. The first part is about a variant of Banach's fixed point theorem and its applications to several partial differential equations (PDE's), abstractly of the form [ \mathcal Lu + \mathcal Q(u) = f.] The main result of thi ...

EPFL2015

Renormalized solutions to the continuity equation with an integrable damping term

Maria Colombo

We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511-547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed i ...

2015

A Sparse Reformulation of the Green's Function Formalism Allows Efficient Simulations of Morphological Neuron Models

Marc-Oliver Gewaltig, Willem Anna Mark Wybo, Benjamin Torben-Nielsen, Daniele Boccalini

We prove that when a class of partial differential equations, generalized from the cable equation, is defined on tree graphs and the inputs are restricted to a spatially discrete, well chosen set of points, the Green's function (GF) formalism can be rewrit ...

Massachusetts Institute of Technology Press2015

Asymptotic bifurcation and second order elliptic equations on R-N

Charles Stuart

This paper deals with asymptotic bifurcation, first in the abstract setting of an equation G(u) = lambda u, where G acts between real Hilbert spaces and lambda is an element of R, and then for square-integrable solutions of a second order non-linear ellipt ...

Elsevier Science Bv2015

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

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SLA: to Sign or Not to Sign

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Application aux équations aux dérivées partielles d'une méthode par point fixe et le problème des deux puits

Renormalized solutions to the continuity equation with an integrable damping term

A Sparse Reformulation of the Green's Function Formalism Allows Efficient Simulations of Morphological Neuron Models

Asymptotic bifurcation and second order elliptic equations on R-N

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Application aux équations aux dérivées partielles d'une méthode par point fixe et le problème des deux puits

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Asymptotic bifurcation and second order elliptic equations on R-N

SLA: to Sign or Not to Sign

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Renormalized solutions to the continuity equation with an integrable damping term

A Sparse Reformulation of the Green's Function Formalism Allows Efficient Simulations of Morphological Neuron Models

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity