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Jung, Chang-Yeol
Analysis and computational methods Lab
Research Interests
  • Analysis, singular perturbations, uncertainty, numerical methods

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Evolution of Probability Distribution in Time for Solutions of Hyperbolic Equations

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Title
Evolution of Probability Distribution in Time for Solutions of Hyperbolic Equations
Author
Jung, Chang-Yeol
Keywords
Evolution of probability distribution; Monte Carlo integration; Monte Carlo simulation; Random interface; Random media; Stochastic partial differential equation
Issue Date
200910
Publisher
SPRINGER/PLENUM PUBLISHERS
Citation
JOURNAL OF SCIENTIFIC COMPUTING, v.41, no.1, pp.13 - 48
Abstract
We investigate the evolution of the probability distribution function in time for some wave and Maxwell equations in random media for which the parameters, e.g. permeability, permittivity, fluctuate randomly in space; more precisely, two different media interface randomly in space. We numerically compute the probability distribution and density for output solutions. The underlying numerical and statistical techniques are the so-called polynomial chaos Galerkin projection, which has been extensively used for simulating partial differential equations with uncertainties, and the Monte Carlo simulations.
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DOI
http://dx.doi.org/10.1007/s10915-009-9284-2
ISSN
0885-7474
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