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14 papers · 2 filters

math.NA2009★ 25 cited

A global method for coupling transport with chemistry in heterogeneous porous media

Amir Laila, Michel Kern

Modeling reactive transport in porous media, using a local chemical equilibrium assumption, leads to a system of advection-diffusion PDE's coupled with algebraic equations. When so…

math.NA2009★ 4 cited

Hamiltonian interpolation of splitting approximations for nonlinear PDEs

Erwan Faou, Benoit Grebert

We consider a wide class of semi linear Hamiltonian partial differential equa- tions and their approximation by time splitting methods. We assume that the nonlinearity is polynomia…

math.NA2009

Algebraic Change-Point Detection

Michel Fliess, Cédric Join, Mamadou Mboup

Elementary techniques from operational calculus, differential algebra, and noncommutative algebra lead to a new approach for change-point detection, which is an important field of…

math.NA2009★ 22 cited

Analysis of a new class of Forward Semi-Lagrangian schemes for the 1D Vlasov-Poisson Equations

Thomas Respaud, Eric Sonnendrücker

The Vlasov equation is a kinetic model describing the evolution of charged particles, and is coupled with Poisson's equation, which rules the evolution of the self-consistent elect…

math.NA2009★ 25 cited

On the Calibration of a Size-Structured Population Model from Experimental Data

Marie Doumic Jauffret, Pedro Maia, Jorge P. Zubelli

The aim of this work is twofold. First, we survey the techniques developed in (Perthame, Zubelli, 2007) and (Doumic, Perthame, Zubelli, 2008) to reconstruct the division (birth) ra…

math.NA2009★ 15 cited

Applications of the DFLU flux to systems of conservation laws

Adimurthi Adimurthi, G. D. Veerappa Gowda, Jérôme Jaffré

The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve…