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
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…
math.AP2006
DRP scheme optimization
Claire David, Pierre Sagaut
A new DRP scheme is built, which enables us to minimize the error due to the finite difference approximation, by means of an equivalent matrix equation.