ponio - Département de mathématiques appliquées
Logiciel Année : 2024

ponio

Résumé

The aim of ponio is to provide a set of schemes in time for solving a whole collection of ODEs and PDEs. It is initially written in C++, but various interfaces will later be available for use in other languages widely used in the scientific community (Python and Julia, for example). The idea here is to discuss the various strategies for the temporal integration of PDEs. The simplest is the combination of an operator separation strategy and a method of line involving various classical time integrators like Runge-Kutta methods, or optimized one (RADAU5, ROCK4) and also splitting operator methods (IMEX, Strang splitting) ; the long-term objective is also to be able to tackle innovative adaptive code coupling techniques through an interface as well as classes of time-space coupled schemes (Lax-Wendroff, OSMP, time-space coupled IMEX with good asymptotic preserving and stability properties...).
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