39 citations · 312 across the 32 of their papers we have counts for
3 papers · 2 filters
High order semi-Lagrangian methods for the incompressible Navier-Stokes equations
Elena Celledoni, Bawfeh Kingsley Kometa, Olivier Verdier
We propose a class of semi-Lagrangian methods of high approximation order in space and time, based on spectral element space discretizations and exponential integrators of Runge-Ku…
Geometric Generalisations of SHAKE and RATTLE
Robert I. McLachlan, Klas Modin, Olivier Verdier +1
A geometric analysis of the Shake and Rattle methods for constrained Hamiltonian problems is carried out. The study reveals the underlying differential geometric foundation of the…
Reduction and Normal Forms of Matrix Pencils
Olivier Verdier
Matrix pencils, or pairs of matrices, may be used in a variety of applications. In particular, a pair of matrices (E,A) may be interpreted as the differential equation E x' + A x =…