Castella, F.; Chartier, Ph.; Sauzeau, J. A formal series approach to the center manifold theorem. (English) Zbl 1408.37053 Found. Comput. Math. 18, No. 6, 1397-1434 (2018). MSC: 37D10 34C45 05C05 PDFBibTeX XMLCite \textit{F. Castella} et al., Found. Comput. Math. 18, No. 6, 1397--1434 (2018; Zbl 1408.37053) Full Text: DOI HAL
Castella, F.; Chartier, P.; Faou, E. An averaging technique for highly oscillatory Hamiltonian problems. (English) Zbl 1197.65206 SIAM J. Numer. Anal. 47, No. 4, 2808-2837 (2009). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65P10 65L05 37M15 34C10 PDFBibTeX XMLCite \textit{F. Castella} et al., SIAM J. Numer. Anal. 47, No. 4, 2808--2837 (2009; Zbl 1197.65206) Full Text: DOI
Castella, François; Dujardin, Guillaume Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation. (English) Zbl 1171.65089 ESAIM, Math. Model. Numer. Anal. 43, No. 4, 651 (2009). Reviewer: Qin Mengzhao (Beijing) MSC: 65P10 37K55 37M15 35J10 PDFBibTeX XMLCite \textit{F. Castella} and \textit{G. Dujardin}, ESAIM, Math. Model. Numer. Anal. 43, No. 4, 651 (2009; Zbl 1171.65089) Full Text: DOI EuDML
Castella, F.; Degond, P.; Goudon, Th. Large time dynamics of a classical system subject to a fast varying force. (English) Zbl 1127.37052 Commun. Math. Phys. 276, No. 1, 23-49 (2007). MSC: 37L99 35B40 35F20 82C05 37N20 81V99 PDFBibTeX XMLCite \textit{F. Castella} et al., Commun. Math. Phys. 276, No. 1, 23--49 (2007; Zbl 1127.37052) Full Text: DOI
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel Long-time averaging for integrable Hamiltonian dynamics. (English) Zbl 1084.65126 Numer. Math. 100, No. 2, 211-232 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 70H06 37M15 37J35 70F05 65L06 70M20 PDFBibTeX XMLCite \textit{E. Cancès} et al., Numer. Math. 100, No. 2, 211--232 (2005; Zbl 1084.65126) Full Text: DOI HAL
Bidégaray-Fesquet, B.; Castella, F.; Degond, P. From Bloch model to the rate equations. (English) Zbl 1055.81079 Discrete Contin. Dyn. Syst. 11, No. 1, 1-26 (2004). MSC: 81V55 81V45 34E05 34C29 37N20 76P05 81V80 82D75 34E99 11D75 11K60 PDFBibTeX XMLCite \textit{B. Bidégaray-Fesquet} et al., Discrete Contin. Dyn. Syst. 11, No. 1, 1--26 (2004; Zbl 1055.81079) Full Text: DOI
Castella, François; Degond, Pierre Convergence of the Von-Neumann equation towards the quantum Boltzmann equation in a deterministic framework. (English. Abridged French version) Zbl 0930.35146 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 231-236 (1999). MSC: 35Q40 82C70 37N20 PDFBibTeX XMLCite \textit{F. Castella} and \textit{P. Degond}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 231--236 (1999; Zbl 0930.35146) Full Text: DOI