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13 papers · 2 filters
Two-scale semi-lagrangian simulation of a charged particle beam in a periodic focusing channel
Alexandre Mouton
This paper is devoted to numerical simulation of a charged particle beam submitted to a strong oscillating electric field. For that, we consider a two-scale numerical approach as f…
A Forward semi-Lagrangian Method for the Numerical Solution of the Vlasov Equation
Nicolas Crouseilles, Thomas Respaud, Eric Sonnendrücker
This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic description of the evolution of a plasma, and is coupled with Poisson's equation f…
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations
C. Le Bris, T. Lelievre, Y. Maday
We investigate mathematically a nonlinear approximation type approach recently introduced in [A. Ammar et al., J. Non-Newtonian Fluid Mech., 2006] to solve high dimensional partial…
Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics
Marie Doumic Jauffret, Benoît Perthame, Jorge P. Zubelli
We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population…
Simulation of Laser Beam Propagation With a Paraxial Model in a Tilted Frame
Marie Doumic, Frédéric Duboc, François Golse +1
We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the…
Implementing Communication-Optimal Parallel and Sequential QR Factorizations
James Demmel, Laura Grigori, Mark Hoemmen +1
We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stab…