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Cited article:
Pierre Étoré, Antoine Lejay
ESAIM: PS, 11 (2007) 301-326
Published online: 2007-08-17
This article has been cited by the following article(s):
Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps
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Journal of Computational Physics 231 (21) 7299 (2012)
DOI: 10.1016/j.jcp.2012.07.011
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Advances in Numerical Simulation in Physics and Engineering
Denis Talay
SEMA SIMAI Springer Series, Advances in Numerical Simulation in Physics and Engineering 3 267 (2014)
DOI: 10.1007/978-3-319-02839-2_7
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Simulating diffusions with piecewise constant coefficients using a kinetic approximation
Antoine Lejay and Sylvain Maire
Computer Methods in Applied Mechanics and Engineering 199 (29-32) 2014 (2010)
DOI: 10.1016/j.cma.2010.03.002
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Wasserstein convergence rates for random bit approximations of continuous Markov processes
Stefan Ankirchner, Thomas Kruse and Mikhail Urusov
Journal of Mathematical Analysis and Applications 493 (2) 124543 (2021)
DOI: 10.1016/j.jmaa.2020.124543
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Simulating diffusion processes in discontinuous media: Benchmark tests
Antoine Lejay and Géraldine Pichot
Journal of Computational Physics 314 384 (2016)
DOI: 10.1016/j.jcp.2016.03.003
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New Monte Carlo schemes for simulating diffusions in discontinuous media
Antoine Lejay and Sylvain Maire
Journal of Computational and Applied Mathematics 245 97 (2013)
DOI: 10.1016/j.cam.2012.12.013
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An exponential timestepping algorithm for diffusion with discontinuous coefficients
Antoine Lejay, Lionel Lenôtre and Géraldine Pichot
Journal of Computational Physics 396 888 (2019)
DOI: 10.1016/j.jcp.2019.07.013
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Analytic Expressions of the Solutions of Advection-Diffusion Problems in One Dimension with Discontinuous Coefficients
Antoine Lejay, Lionel Lenôtre and Géraldine Pichot
SIAM Journal on Applied Mathematics 79 (5) 1823 (2019)
DOI: 10.1137/18M1164500
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Numerical approximation of irregular SDEs via Skorokhod embeddings
Stefan Ankirchner, Thomas Kruse and Mikhail Urusov
Journal of Mathematical Analysis and Applications 440 (2) 692 (2016)
DOI: 10.1016/j.jmaa.2016.03.055
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One-dimensional parabolic diffraction equations: pointwise estimates and discretization of related stochastic differential equations with weighted local times
Miguel Martinez and Denis Talay
Electronic Journal of Probability 17 (none) (2012)
DOI: 10.1214/EJP.v17-1905
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A transformed stochastic Euler scheme for multidimensional transmission PDE
Pierre Étoré and Miguel Martinez
Journal of Computational and Applied Mathematics 394 113551 (2021)
DOI: 10.1016/j.cam.2021.113551
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A functional limit theorem for coin tossing Markov chains
Stefan Ankirchner, Thomas Kruse and Mikhail Urusov
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 56 (4) (2020)
DOI: 10.1214/20-AIHP1066
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Properties of the EMCEL scheme for approximating irregular diffusions
Stefan Ankirchner, Thomas Kruse, Wolfgang Löhr and Mikhail Urusov
Journal of Mathematical Analysis and Applications 509 (1) 125931 (2022)
DOI: 10.1016/j.jmaa.2021.125931
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