Étude qualitatif des solutions des équations de Navier-Stokes en dimension 3
Étude qualitative des solutions réelles d'une équation différentielle liée à l'équation de Ginzburg-Landau
Étude semi-classique d'observables quantiques
Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
Étude spectrale d'opérateurs hypoelliptiques à caractéristiques multiples
Étude spectrale d'opérateurs hypoelliptiques à caractéristiques multiples. I
Nous donnons le comportement asymptotique de valeurs propres d’opérateurs pseudodifférentiels autoadjoints, hypoelliptiques avec perte de dérivées dans le cas où la variété caractéristique est symplectique. Nous généralisatons ainsi la formule du relative aux opérateurs à caractéristiques doubles établie par A. Menikoff et J. Sjöstrand.
Étude spectrale d'opérateurs sur des groupes nilpotents
Étude spectrale du système différentiel associé à un problème d’élasticité linéaire
Euclid΄s algorithm and accelerated iterative methods
Euler and Navier-Stokes equations.
Euler characteristic Galerkin scheme with recovery
Euler schemes and half-space approximation for the simulation of diffusion in a domain
This paper is concerned with the problem of simulation of , the solution of a stochastic differential equation constrained by some boundary conditions in a smooth domain : namely, we consider the case where the boundary is killing, or where it is instantaneously reflecting in an oblique direction. Given discretization times equally spaced on the interval , we propose new discretization schemes: they are fully implementable and provide a weak error of order under some conditions. The construction...
Euler schemes and half-space approximation for the simulation of diffusion in a domain
This paper is concerned with the problem of simulation of (Xt)0≤t≤T, the solution of a stochastic differential equation constrained by some boundary conditions in a smooth domain D: namely, we consider the case where the boundary ∂D is killing, or where it is instantaneously reflecting in an oblique direction. Given N discretization times equally spaced on the interval [0,T], we propose new discretization schemes: they are fully implementable and provide a weak error of order N-1 under some conditions....
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evaluation of the condition number in linear systems arising in finite element approximations
This paper derives upper and lower bounds for the -condition number of the stiffness matrix resulting from the finite element approximation of a linear, abstract model problem. Sharp estimates in terms of the meshsize h are obtained. The theoretical results are applied to finite element approximations of elliptic PDE's in variational and in mixed form, and to first-order PDE's approximated using the Galerkin–Least Squares technique or by means of a non-standard Galerkin technique in L1(Ω). Numerical...
Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
Everywhere regularity for a class of elliptic systems without growth conditions
Everywhere regularity for vectorial functionals with general growth
We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models iswith a convex function with general growth (also exponential behaviour is allowed).
Everywhere regularity for vectorial functionals with general growth
We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is with h a convex function with general growth (also exponential behaviour is allowed).