Some software under development (or developed in the recent years):

  • Z-code:

    is a parallel code implementing the MultiResolution method (mainly used for the solution of Reaction Diffusion systems, but this is not a limitation), in dimension 2 and 3. It is fully written in modern C++; parallelism is implemented using task stealing, with the TBB library (paper).

  • Odes:

    Odes has three parts: 1- A careful rewriting in C++ of the classical programs of Hairer and Wanner Radau5, Rodas and SDIRK. Performances are improved by a relatively small factor (20%) compared to the fortran implementation. Programs are easier to use in a C++ program.

    2- A reimplementation in C++ of A. Abdulle Rock2 and Rock4 methods, avoiding copy of large arrays. I have also developed Rock4 and Rock2 programs specialised in the solution of linear (affine) parabolic problems (like the heat equation).

    3- An experimental implementation of the symplectic Runge-Kutta Gauss formulas.

  • RKkit: A Sage package to manipulate and prove properties of Runge-Kutta methods (implicit or explicit). It is just in an early development.

  • DGSage: experimental kernels for fast solution of heat equation and Poisson equation (use Discontinuous Galerkin, Chebyshev acceleration and Rock methods).

Some years ago:

  • Zebre: a parallel code (in shared memory) which implements the solution of Reaction-Diffusion systems using operator splitting, stiff equations solvers and finite volumes. It was used for the simulation of strokes on a "real" 3d brain (21 equations, a very stiff and very non linear problem!).

All these software are under the CeCILL-B licence.