3 papers
math.AP2008
Spurious caustics of Dispersion Relation Preserving schemes
Claire David, Pierre Sagaut
A linear dispersive mechanism leading to a burst in the norm of the error in numerical simulation of polychromatic solutions is identified. This local error pile-up corr…
math.AP2008
A note on the Compound Burgers-Korteweg-de Vries Equation with higher-order nonlinearities and its traveling solitary waves
Claire David
In this paper, we study a compound Korteweg-de Vries-Burgers equation with a higher-order nonlinearity. A class of solitary wave solutions is obtained by means of a series expansio…
math.AP2008
Towards optimal DRP scheme for linear advection
Claire David, Pierre Sagaut
Finite difference schemes are here solved by means of a linear matrix equation. The theoretical study of the related algebraic system is exposed, and enables us to minimize the err…