Numerical analysis
Sep 1, 1998
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1 min read
I am interested in designing numerical schemes (mostly finite difference schemes) that preserve the physical properties of the underlying physical models.
- Schemes for dispersive equations.
- Journal papers: A-BB01
- Finite differences for Maxwell-Debye and Maxwell-Lorentz equations.
- Finite differences for Maxwell-Bloch equations.
- Finite volumes for Maxwell equations.
- Splitting and nonstandard methods.
Part of my Habilitation thesis deals with the theme. I also wrote a master-level book on models in nonlinear and quantum optics, including numerical issues.
Ongoing works deal with asymptotic preserving schemes for Bloch equations.
