54 citations · 59 across the 4 of their papers we have counts for
4 papers
Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations
Erwan Deriaz
This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion: with $α=\frac{2r}{2…
-stability of explicit schemes for incompressible Euler equations
Erwan Deriaz
We present an original study on the numerical stabiliy of explicit schemes solving the incompressible Euler equations on an open domain with slipping boundary conditions. Relying o…
Shannon wavelet approximations of linear differential operators
Erwan Deriaz
Recent works emphasized the interest of numerical solution of PDE's with wavelets. In their works, A.Cohen, W.Dahmen and R.DeVore focussed on the non linear approximation aspect of…
Divergence-free Wavelets for Navier-Stokes
Erwan Deriaz, Valérie Perrier
In this paper, we investigate the use of compactly supported divergence-free wavelets for the representation of the Navier-Stokes solution. After reminding the theoretical construc…