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28 papers · 1 filter
Espaces critiques pour le système des equations de Navier-Stokes incompressibles
Pascal Auscher, Philippe Tchamitchian
In this work, we exhibit abstract conditions on a functional space E who insure the existence of a global mild solution for small data in E or the existence of a local mild solutio…
On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations
Sergio Amat, Karine Dadourian, Jacques Liandrat
This paper is devoted to the presentation and the analysis of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stabi…
A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods
Jerome Droniou, Robert Eymard, Thierry Gallouët +1
We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Fi…
Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon
Christophette Blanchet-Scalliet, Anne Eyraud-Loisel, Manuela Royer-Carenzi
This article focuses on the mathematical problem of existence and uniqueness of BSDE with a random terminal time which is a general random variable but not a stopping time, as it h…
Topological Dynamics of Cellular Automata: Dimension Matters
Mathieu Sablik, Guillaume Theyssier
Topological dynamics of cellular automata (CA), inherited from classical dynamical systems theory, has been essentially studied in dimension 1. This paper focuses on higher dimensi…
Does a billiard orbit determine its (polygonal) table?
Jozef Bobok, Serge Troubetzkoy
We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit wh…