CiteSeerX — Search Results — semi-lagrangian scheme

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ANALYSIS OF THE MONTE-CARLO ERROR IN A HYBRID SEMI-LAGRANGIAN SCHEME

by Charles-edouard Bréhier, Erwan Faou

"... Abstract. We consider Monte-Carlo discretizations of partial differential equations based on a combination of semi-lagrangian schemes and probabilistic representations of the solutions. We study the Monte-Carlo error in a simple case, and show that under an anti-CFL condition on the time-step δt and ..."

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Abstract. We consider Monte-Carlo discretizations of partial differential equations based on a combination of semi-lagrangian schemes and probabilistic representations of the solutions. We study the Monte-Carlo error in a simple case, and show that under an anti-CFL condition on the time-step δt

Sonnendrücker Analysis of a new class of Forward semi-Lagrangian schemes for

by Thomas Respaud - the 1D Vlasov Poisson Equations, HAL: hal-00442957, Submitted

"... 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 electric field. In this paper, we introduce a new class of forward Semi-Lagrangian schemes for the Vlasov-Poisson system base ..."

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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 electric field. In this paper, we introduce a new class of forward Semi-Lagrangian schemes for the Vlasov-Poisson system

A Technique For High-Order Treatment Of Diffusion Terms In Semi-Lagrangian Schemes

by Roberto Ferretti , 2000

"... . We consider in this paper a semi--Lagrangian technique to treat advection--diffusion equations. The scheme is based on a stochastic representation formula for the solution which allows to avoid the splitting between advective and diffusive part of the evolution operator. This results in a somewhat ..."

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. We consider in this paper a semi--Lagrangian technique to treat advection--diffusion equations. The scheme is based on a stochastic representation formula for the solution which allows to avoid the splitting between advective and diffusive part of the evolution operator. This results in a

A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation

by Martin Campos Pinto - in "Applied Mathematics and Computer Science , 2006

"... This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis a ..."

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This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis

A FULLY-DISCRETE SEMI-LAGRANGIAN SCHEME FOR A FIRST ORDER MEAN FIELD GAME PROBLEM

by E. Carlini, F. J. Silva

"... Abstract. In this work we propose a fully-discrete Semi-Lagrangian scheme for a first order mean field game system. We prove that the resulting discretization admits at least one solution and, in the scalar case, we prove a convergence result for the scheme. Numerical simulations and examples are al ..."

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Abstract. In this work we propose a fully-discrete Semi-Lagrangian scheme for a first order mean field game system. We prove that the resulting discretization admits at least one solution and, in the scalar case, we prove a convergence result for the scheme. Numerical simulations and examples

DOI: 10.2478/v10006-007-0027-y A HERMITE–TYPE ADAPTIVE SEMI–LAGRANGIAN SCHEME

by Michel Mehrenberger, Eric Violard

"... We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberge ..."

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We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto

How to predict accurate wavelet grids in adaptive semi-Lagrangian schemes

by Martin Campos Pinto - in "ESAIM Proceedings", 2009, to appear. Activity Report INRIA 2009

"... Résumé. Je présente dans cet article un nouveau schéma semi-Lagrangien a ̀ base d’ondelettes pour l’approximation de problèmes de transport associés a ̀ des flots réguliers. Cette méthode s’inspire de celle proposée par Besse, Filbet, Gutnic, Paun et Sonnendrücker [1], mais s’en distingue ..."

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Résumé. Je présente dans cet article un nouveau schéma semi-Lagrangien a ̀ base d’ondelettes pour l’approximation de problèmes de transport associés a ̀ des flots réguliers. Cette méthode s’inspire de celle proposée par Besse, Filbet, Gutnic, Paun et Sonnendrücker [1], mais s’en distingue