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20 papers · 1 filter
Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces
Jean-Philippe Chancelier
Let be a real Banach space with a normalized duality mapping uniformly norm-to-weak continuous on bounded sets or a reflexive Banach space which admits a weakly continu…
-class algorithms for pseudocontractions and -strict pseudocontractions in Hilbert spaces
Jean-Philippe Chancelier
In this paper we study iterative algorithms for finding a common element of the set of fixed points of -strict pseudocontractions or finding a solution of a variational inequali…
Adaptive optimal allocation in stratified sampling methods
Pierre Etore, Benjamin Jourdain
In this paper, we propose a stratified sampling algorithm in which the random drawings made in the strata to compute the expectation of interest are also used to adaptively modify…
Local Exchange Potentials for Electronic Structure Calculations
Eric Cances, Gabriel Stoltz, Gustavo E. Scuseria +2
The Hartree-Fock exchange operator is an integral operator arising in the Hartree-Fock method and replaced by a multiplicative operator (a local potential) in Kohn-Sham density fun…
Stochastic Programming with Probability
Laetitia Andrieu, Guy Cohen, Felisa Vázquez-Abad
In this work we study optimization problems subject to a failure constraint. This constraint is expressed in terms of a condition that causes failure, representing a physical or te…
Nonlinear SDEs driven by Lévy processes and related PDEs
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian motion is replaced by a Lévy process. We also suppose that the coefficient mult…