107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
18 papers · 1 filter
Integrability of weak distributions on Banach manifolds
Fernand Pelletier
This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under whic…
Finite volume methods for unidirectional dispersive wave models
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. E…
On the contribution of the horizontal sea-bed displacements into the tsunami generation process
Denys Dutykh, Dimitrios Mitsotakis, Leonid Chubarov +1
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken i…
Connecting discrete and continuous lookback or hindsight options in exponential Lévy models
El Hadj Aly Dia, Damien Lamberton
Motivated by the pricing of lookback options in exponential Lévy models, we study the difference between the continuous and discrete supremum of Lévy processes. In particular, we e…
Error bounds for small jumps of Lévy processes
El Hadj Aly Dia
The pricing of options in exponential Levy models amounts to the computation of expectations of functionals of Levy processes. In many situations, Monte-Carlo methods are used. How…
On the use of finite fault solution for tsunami generation problems
Denys Dutykh, Dimitrios Mitsotakis, Xavier Gardeil +1
The present study is devoted to the problem of tsunami wave generation. The main goal of this work is two-fold. First of all, we propose a simple and computationally inexpensive mo…
Two results on the Dunkl maximal operator
Luc Deleaval
In this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general…
Compressible primitive equation: formal derivation and stability of weak solutions
Mehmet Ersoy, Timack Ngom, Mamadou Sy
We present a formal derivation of a simplified version of Compressible Primitive Equations (CPEs) for atmosphere modeling. They are obtained from -D compressible Navier-Stokes e…
Phase-space analysis and pseudodifferential calculus on the Heisenberg group
Hajer Bahouri, Clotilde Fermanian-Kammerer, Isabelle Gallagher
A class of pseudodifferential operators on the Heisenberg group is defined. As it should be, this class is an algebra containing the class of differential operators. Furthermore, t…
Integration by parts formula with respect to jump times for stochastic differential equations
Vlad Bally, Emmanuelle Clement
We establish an integration by parts formula based on jumps times in an abstract framework in order to study the regularity of the law for processes solution of stochastic differen…
On Factor Universality in Symbolic Spaces
Laurent Boyer, Guillaume Theyssier
The study of factoring relations between subshifts or cellular automata is central in symbolic dynamics. Besides, a notion of intrinsic universality for cellular automata based on…
Finite volume schemes for dispersive wave propagation and runup
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive wa…
Mathematical derivation of viscous shallow-water equations with zero surface tension
Didier Bresch, Pascal Noble
The purpose of this paper is to derive rigorously the so called viscous shallow water equations given for instance page 958-959 in [A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phy…
The VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation
Denys Dutykh, Raphaël Poncet, Frédéric Dias
A novel tool for tsunami wave modelling is presented. This tool has the potential of being used for operational purposes: indeed, the numerical code \VOLNA is able to handle the co…
Practical use of variational principles for modeling water waves
Didier Clamond, Denys Dutykh
This paper describes a method for deriving approximate equations for irrotational water waves. The method is based on a 'relaxed' variational principle, i.e., on a Lagrangian invol…
A note on some overdetermined elliptic problem
Frédéric Hélein, Laurent Hauswirth, Frank Pacard
We define the notion of an exceptional manifold to be a flat Riemannian manifold with boundary which supports a positive harmonic function satisfying simultaneously a zero Dirichle…
Bulking II: Classifications of Cellular Automata
Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger +1
This paper is the second part of a series of two papers dealing with bulking: a way to define quasi-order on cellular automata by comparing space-time diagrams up to rescaling. In…
Directional Dynamics along Arbitrary Curves in Cellular Automata
Martin Delacourt, Victor Poupet, Mathieu Sablik +1
This paper studies directional dynamics in cellular automata, a formalism previously introduced by the third author. The central idea is to study the dynamical behaviour of a cellu…