Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system [PDF]
ESAIM: Proceedings and Surveys, 2023 Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle models. The objective of this work is to provide a numerical scheme for the simulation of the cross-diffusion system identified in [J. Quastel, Comm.
Dabaghi Jad +2 more
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Bayesian inference of biochemical kinetic parameters using the linear noise approximation [PDF]
, 2009 Background Fluorescent and luminescent gene reporters allow us to dynamically quantify changes in molecular species concentration over time on the single cell level.
David A Rand +14 more
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Sensors, 2021 The increasing use of Software-Defined Networks brings the need for their performance analysis and detailed analytical and numerical models of them. The primary element of such research is a model of a SDN switch.
Tomasz Nycz +2 more
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Adaptability analysis of radiative transport diffusion approximation in planar-graded-index media
Advances in Mechanical Engineering, 2018 To study the applicability of diffusion approximation method, the influence of the optical thickness, scattering albedo, and wall emissivity of the examined medium on the accuracy of the diffusion approximation is analyzed.
Lijun Liu, Hong Shi, Xiaoyan Liu
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BioMedical Engineering OnLine, 2005 Optical molecular imaging is based on fluorescence or bioluminescence, and hindered by photon scattering in the tissue, especially in patient studies. Here we propose a computational optical biopsy (COB) approach to localize and quantify a light source ...
Jiang Ming, Li Yi, Wang Ge
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Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP Streams
Entropy, 2021 In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been ...
Dariusz Marek +5 more
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Implicit difference approximation for the two-dimensional space-time fractional diffusion equation [PDF]
, 2006 In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed.
Liu, Fawang +3 more
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A basing of the diffusion approximation derivation for the four-wave kinetic integral and properties of the approximation [PDF]
Nonlinear Processes in Geophysics, 2002 A basing of the diffusion approximation derivation for the Hasselmann kinetic integral describing nonlinear interactions of gravity waves in deep water is discussed.
V. G. Polnikov
doaj
Tractable diffusion and coalescent processes for weakly correlated loci [PDF]
, 2015 Widely used models in genetics include the Wright-Fisher diffusion and its moment dual, Kingman's coalescent. Each has a multilocus extension but under neither extension is the sampling distribution available in closed-form, and their computation is ...
Fearnhead, Paul +6 more
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On diffusion approximation with discontinuous coefficients
Stochastic Processes and their Applications, 2002 Convergence of stochastic processes with jumps to diffusion processes is investigated in the case when the limit process has discontinuous coefficients. An example is given in which the diffusion approximation of a queueing model yields a diffusion process with discontinuous diffusion and drift coefficients.
Krylov, N.V., Liptser, R.
openaire +3 more sources