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A geometric optics method for high frequency electromagnetic fields computati...
This paper is a sequel of \cite{pre} and presents the computation of the amplitudes needed to evaluate the energy deposited by the laser wave in a plasma when a fold... -
A geometric optics based numerical method for high frequency electromagnetic ...
This paper presents an Eulerian numerical method for the computation of a bi-valued solution of Hamilton-Jacobi type equation in a particular geometric setting. More... -
A Eulerian Method for Capturing Caustics
A robust numerical method for the localization of caustics is proposed for general Hamiltonians. It is based on the direct resolution of a system of partial... -
Multivalued Solution and Viscosity Solutions of the Eikonal Equation
Some contributions to the study and computation of the multivalued solution of the Eikonal equation -
Semi-Implicit Roe-Type Fluxes for Low-Mach Number Flows
Two semi-implicit methods based on the splitting of the Euler equations flux into fluid and acoustic parts applied to low Mach number flows are presented. The first... -
Implicit Upwind Schemes for Low Mach Number Compressible Flows
At low Mach number, the Roe scheme presents an excess of artificial viscosity. A correction of this scheme, which uses the preconditioning of Turkel, leads to an... -
Analysis and numerical approximation of hyperbolic systems of conservation la...
This thesis is devoted to the study of nonlinear hyperbolic systems of conservation laws with source terms allowed to become stiff. Applications come for the largest...
