Compactly supported wavelet and the numerical solution of the Vlasov equation

Authors:
Yacine Benhadid
Affiliations:
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudia Arabia
Venue:
Journal of Applied Mathematics and Computing
Year:
2007

Citing 5
Cited 0

A finite element code for the simulation of one-dimensional Vlasov plasmas I. Theory

Journal of Computational Physics
Ten lectures on wavelets

Ten lectures on wavelets
On the representation of operators in bases of compactly supported wavelets

SIAM Journal on Numerical Analysis
An introduction to wavelets

An introduction to wavelets
The semi-Lagrangian method for the numerical resolution of the Vlasov equation

Journal of Computational Physics

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new scheme for solving the Vlasov equation using a compactly supported wavelets basis is proposed. We use a numerical method which minimizes the numerical diffusion and conserves a reasonable time computing cost. So we introduce a representation in a compactly supported wavelet of the derivative operator. This method makes easy and simple the computation of the coefficients of the matrix representing the operator. This allows us to solve the two equations which result from the splitting technique of the main Vlasov equation. Some numerical results are exposed using different numbers of wavelets.