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dirichlet problems with boundary conditions

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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An introduction to probabilistic methods with applications
Pierre Del Moral, Nicolas G. Hadjiconstantinou
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 44 / Issue 5 / September 2010

Published online by Cambridge University Press:

26 August 2010, pp. 805-829

Print publication:

September 2010
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This special volume of the ESAIM Journal, Mathematical Modelling and Numerical Analysis,contains a collection of articles on probabilistic interpretations of some classes of nonlinear integro-differential equations.The selected contributions deal with a wide range of topics in applied probability theory and stochastic analysis, with applications in a variety of scientific disciplines, includingphysics, biology, fluid mechanics, molecular chemistry, financial mathematics and bayesian statistics. In this preface, we provide a brief presentation of the main contributions presented in this special volume. We have also included an introduction to classic probabilistic methods and a presentation of the more recent particle methods, with a synthetic picture of their mathematical foundations and their range of applications.