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math.NA2006★ 1 cited

Symplectic integrators in sub-Riemannian geometry: the Martinet case

Monique Chyba, Ernst Hairer, Gilles Vilmart

We compare the performances of symplectic and non-symplectic integrators for the computation of normal geodesics and conjugate points in sub-Riemannian geometry at the example of t…

math.NA2006

Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods

Victorita Dolean, Hugo Fol, Stephane Lanteri +1

We present numerical results concerning the solution of the time-harmonic Maxwell's equations discretized by discontinuous Galerkin methods. In particular, a numerical study of the…

math.NA2006

A VFRoe scheme for 1D shallow water flows : wetting and drying simulation

Abdou Wahidi Bello

A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial…

math.NA2006

The Multi-Dimensional Refinement Indicators Algorithm for Optimal Parameterization

Hend Ben Ameur, François Clément, Pierre Weis +1

The estimation of distributed parameters in partial differential equations (PDE) from measures of the solution of the PDE may lead to under-determination problems. The choice of a…

math.NA2006

The complexity of class polynomial computation via floating point approximations

Andreas Enge

We analyse the complexity of computing class polynomials, that are an important ingredient for CM constructions of elliptic curves, via complex floating point approximations of the…