Finite dimensional behavior for weakly damped driven Schrödinger equations
Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire
An analysis of the B.P.M. approximation of the Helmholtz equation in an optical fiber
Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson
When applied to the linear advection problem in dimension two, the upwind finite volume method is a non consistent scheme in the finite differences sense but a convergent scheme. According to our previous paper [Bouche , (2005) 578–603], a sufficient condition in order to complete the mathematical analysis of the finite volume scheme consists in obtaining an estimation of order , less or equal to one, of a quantity that depends only on the mesh and on the advection velocity...
Page 1