Numerical Investigation of the Water Vapour Diffusivity inside Homogeneous Porous Media [PDF]
EPJ Web of Conferences, 2020 This work is devoted to numerical investigation of diffusivity function for water vapour interaction with homogeneous porous media. Molecular dynamics simulation is used to determine the diffusivity function.
Nikonov Eduard +3 more
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On the dynamic control of matching queues
Stochastic Systems, 2015 We consider the optimal control of matching queues with random arrivals. In this model, items arrive to dedicated queues, and wait to be matched with items from other (possibly multiple) queues.
Itai Gurvich, Amy Ward
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Bayesian inference for diffusion processes: using higher-order approximations for transition densities [PDF]
Royal Society Open Science, 2020 Modelling random dynamical systems in continuous time, diffusion processes are a powerful tool in many areas of science. Model parameters can be estimated from time-discretely observed processes using Markov chain Monte Carlo (MCMC) methods that ...
Susanne Pieschner, Christiane Fuchs
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Construction of asymptotically optimal control for crisscross network from a free boundary problem
Stochastic Systems, 2016 An asymptotic framework for optimal control of multiclass stochastic processing networks, using formal diffusion approximations under suitable temporal and spatial scaling, by Brownian control problems (BCP) and their equivalent workload formulations ...
Amarjit Budhiraja +2 more
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Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation
Advances in Mathematical Physics, 2023 The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. We derive Green’s functions for short and long times via approximations of the Mittag-Leffler function.
Alexey Zhokh, Peter Strizhak
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Multivariate Padé Approximations For Solving Nonlinear Diffusion Equations
Open Physics, 2015 In this paper, multivariate Padé approximation is applied to power series solutions of nonlinear diffusion equations. As it is seen from tables, multivariate Padé approximation (MPA) gives reliable solutions and numerical results.
Turut V.
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Membranes with the same ion channel populations but different excitabilities. [PDF]
PLoS ONE, 2012 Electrical signaling allows communication within and between different tissues and is necessary for the survival of multicellular organisms. The ionic transport that underlies transmembrane currents in cells is mediated by transporters and channels. Fast
Marco Arieli Herrera-Valdez
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Stein's method for steady-state diffusion approximations [PDF]
, 2017 Diffusion approximations have been a popular tool for performance analysis in queueing theory, with the main reason being tractability and computational efficiency.
Braverman, Anton
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Markov chain approximations to filtering equations for reflecting diffusion processes.
, 2004 Herein, we consider direct Markov chain approximations to the Duncan–Mortensen–Zakai equations for nonlinear filtering problems on regular, bounded domains.
Long, H., Kouritzin, Michael, Sun, W.
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A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
Revista de Matemática: Teoría y Aplicaciones, 2010 n this article a new mimetic finite difference method to solve unsteady diffusion equation is presented. It uses Crank-Nicolson scheme to obtain time approximations and second order mimetic discretizations for gradient and divergence operators in space ...
Iliana A. Mannarino
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