Fontbona, Joaquin; Guérin, Hélène; Méléard, Sylvie Measurability of optimal transportation and convergence rate for Landau type interacting particle systems. (English) Zbl 1183.60037 Probab. Theory Relat. Fields 143, No. 3-4, 329-351 (2009). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60K35 49Q20 82C40 82C80 60G07 PDFBibTeX XMLCite \textit{J. Fontbona} et al., Probab. Theory Relat. Fields 143, No. 3--4, 329--351 (2009; Zbl 1183.60037) Full Text: DOI arXiv Link
Jourdain, Benjamin; Méléard, Sylvie Probabilistic interpretation and particle method for vortex equations with Neumann’s boundary condition. (English) Zbl 1073.60096 Proc. Edinb. Math. Soc., II. Ser. 47, No. 3, 597-624 (2004). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 60K35 76D05 PDFBibTeX XMLCite \textit{B. Jourdain} and \textit{S. Méléard}, Proc. Edinb. Math. Soc., II. Ser. 47, No. 3, 597--624 (2004; Zbl 1073.60096) Full Text: DOI
Guérin, Hélène; Méléard, Sylvie Convergence from Boltzmann to Landau processes with soft potential and particle approximations. (English) Zbl 1031.82035 J. Stat. Phys. 111, No. 3-4, 931-966 (2003). MSC: 82C31 82C03 PDFBibTeX XMLCite \textit{H. Guérin} and \textit{S. Méléard}, J. Stat. Phys. 111, No. 3--4, 931--966 (2003; Zbl 1031.82035) Full Text: DOI
Fournier, Nicolas; Méléard, Sylvie A stochastic particle numerical method for 3D Boltzmann equations without cutoff. (English) Zbl 0990.60085 Math. Comput. 71, No. 238, 583-604 (2002). Reviewer: D.Lepingle (Orléans) MSC: 60J75 60K35 60H10 82C40 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{S. Méléard}, Math. Comput. 71, No. 238, 583--604 (2002; Zbl 0990.60085) Full Text: DOI
Fournier, Nicolas; Méléard, Sylvie Monte-Carlo approximations for 2D homogeneous Boltzmann equations without cutoff and for non Maxwell molecules. (English) Zbl 1039.82036 Monte Carlo Methods Appl. 7, No. 1-2, 177-192 (2001). MSC: 82C80 82C40 82C22 60H15 76F05 60K35 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{S. Méléard}, Monte Carlo Methods Appl. 7, No. 1--2, 177--192 (2001; Zbl 1039.82036) Full Text: DOI
Fournier, N.; Méléard, S. Monte-Carlo approximations and fluctuations of 2D Boltzmann equations without cutoff. (English) Zbl 0972.60098 Markov Process. Relat. Fields 7, No. 1, 159-191 (2001). MSC: 60K35 60H10 82C40 60J75 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{S. Méléard}, Markov Process. Relat. Fields 7, No. 1, 159--191 (2001; Zbl 0972.60098)
Méléard, Sylvie A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation. (English) Zbl 1073.76543 Ann. Appl. Probab. 10, No. 4, 1197-1211 (2000). MSC: 76D06 76M23 76M35 60K40 PDFBibTeX XMLCite \textit{S. Méléard}, Ann. Appl. Probab. 10, No. 4, 1197--1211 (2000; Zbl 1073.76543) Full Text: DOI
Fernández, Begoña; Méléard, Sylvie Asymptotic behaviour for interacting diffusion processes with space-time random birth. (English) Zbl 0965.60065 Bernoulli 6, No. 1, 91-111 (2000). Reviewer: Uwe Rösler (Kiel) MSC: 60J60 60G44 PDFBibTeX XMLCite \textit{B. Fernández} and \textit{S. Méléard}, Bernoulli 6, No. 1, 91--111 (2000; Zbl 0965.60065) Full Text: DOI Euclid
Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. (English) Zbl 1009.76081 Stochastic Processes Appl. 84, No. 1, 115-135 (1999). Reviewer: Bohdan Maslowski (Praha) MSC: 76P05 76M35 60K35 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Stochastic Processes Appl. 84, No. 1, 115--135 (1999; Zbl 1009.76081) Full Text: DOI
Méléard, Sylvie Stochastic approximations of the solution of a full Boltzmann equation with small initial data. (English) Zbl 0980.62069 ESAIM, Probab. Stat. 2, 23-40 (1998). MSC: 62L20 82C40 60K35 60G44 62P35 PDFBibTeX XMLCite \textit{S. Méléard}, ESAIM, Probab. Stat. 2, 23--40 (1998; Zbl 0980.62069) Full Text: DOI EuDML
Méléard, Sylvie Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. (English) Zbl 0864.60077 Graham, C. (ed.) et al., Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo, Montecatini Terme, Italy, May 22-30, 1995. Berlin: Springer. Lect. Notes Math. 1627, 42-95 (1996). Reviewer: L.G.Gorostiza (Mexico City) MSC: 60K35 PDFBibTeX XMLCite \textit{S. Méléard}, Lect. Notes Math. 1627, 42--95 (1996; Zbl 0864.60077)
Méléard, S. Representation and approximation of martingale measures. (English) Zbl 0766.60051 Stochastic partial differential equations and their applications, Proc. IFIP Int. Conf., Charlotte/NC (USA) 1991, Lect. Notes Control Inf. Sci. 176, 188-199 (1992). Reviewer: S.Méléard (Paris) MSC: 60G44 60G48 PDFBibTeX XMLCite \textit{S. Méléard}, Lect. Notes Control Inf. Sci. 176, 188--199 (1992; Zbl 0766.60051)