Table of contents

Foreword

Le Bris, Claude; Patera, Anthony

p. 803
An introduction to probabilistic methods with applications

Del Moral, Pierre; Hadjiconstantinou, Nicolas G.

p. 805-829
Existence, uniqueness and convergence of a particle approximation for the adaptive biasing force process

Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël

p. 831-865
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

Bolley, François; Guillin, Arnaud; Malrieu, Florent

p. 867-884
Stochastic lagrangian method for downscaling problems in computational fluid dynamics

Bernardin, Frédéric; Bossy, Mireille; Chauvin, Claire; Jabir, Jean-François; Rousseau, Antoine

p. 885-920
Nonlinear filtering for observations on a random vector field along a random path. Application to atmospheric turbulent velocities

Baehr, Christophe

p. 921-945
A backward particle interpretation of Feynman-Kac formulae

Del Moral, Pierre; Doucet, Arnaud; Singh, Sumeetpal S.

p. 947-975
On a probabilistic interpretation of shape derivatives of Dirichlet groundstates with application to Fermion nodes

Rousset, Mathias

p. 977-995
Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics

Bossy, Mireille; Champagnat, Nicolas; Maire, Sylvain; Talay, Denis

p. 997-1048
Numerical study of the systematic error in Monte Carlo schemes for semiconductors

Muscato, Orazio; Wagner, Wolfgang; Di Stefano, Vincenza

p. 1049-1068
Low-variance direct Monte Carlo simulations using importance weights

Al-Mohssen, Husain A.; Hadjiconstantinou, Nicolas G.

p. 1069-1083
Computational fluctuating fluid dynamics

Bell, John B.; Garcia, Alejandro L.; Williams, Sarah A.

p. 1085-1105
Probabilistic methods for semilinear partial differential equations. Applications to finance

Crisan, Dan; Manolarakis, Konstantinos

p. 1107-1133
Elliptic equations of higher stochastic order

Lototsky, Sergey V.; Rozovskii, Boris L.; Wan, Xiaoliang

p. 1135-1153