Sur une famille biparamétrique de schémas des différences finies pour un système d'équations paraboliques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
Sur une famille bi-parométriques de schémas des différences finies pour l'équation parabolique sans dérivées mixtes
Sur une méthode des différences finies pour une équation non linéaire différentielle fonctionnelle aux dérivées mixtes
Symplectic integration of Hamiltonian wave equations.
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...