Mas-Gallic, Sylvie Traitement de conditions aux limites dans les méthodes particulaires. (Treatment of boundary conditions in particle methods). (French) Zbl 0695.65069 C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 465-468 (1990). Summary: We describe for a model one dimensional convection-diffusion equation with a boundary condition, a particle method in which the diffusion operator is approximated by an integral operator. We prove the convergence and the estimates obtained are similar to those obtained in the whole space. Cited in 2 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:convection-diffusion equation; particle method; convergence PDF BibTeX XML Cite \textit{S. Mas-Gallic}, C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 465--468 (1990; Zbl 0695.65069) OpenURL