Biased global random walk, a cellular automaton for diffusion (original) (raw)

Generalized random walk algorithm for the numerical modeling of complex diffusion processes

Harry Vereecken, Nicolae Suciu

Journal of Computational Physics, 2003

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C.: Evaluation of overshooting errors in particle methods for diffusion by biased global random walk

Nicolae Suciu

2006

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Global Random Walk Simulations of Diffusion

Harry Vereecken, Nicolae Suciu

Scientific Computing, Validated Numerics, Interval Methods, 2001

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Global random walk modelling of transport in complex systems

Nicolae Suciu

Computing and Visualization in Science, 2007

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EVALUATION OF OVERSHOOTING ERRORS IN PARTICLE METHODS FOR DIFFUSION BY BIASED GLOBAL RANDOM WALK

Nicolae Suciu

2000

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Numerical Modeling of Large Scale Transport of Contminant Solutes Using the Global Random Walk Algorithm

Harry Vereecken, Nicolae Suciu

Monte Carlo Methods and Applications, 2004

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Cellular automaton models for time-correlated random walks: derivation and analysis

Haralambos Hatzikirou

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Parallel simulation of reaction-diffusion phenomena in percolation processes : A model based on cellular automata

Carla Simone

Future Generation Computer Systems, 2001

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Random Walks with negative particles for discontinuous diffusion and porosity

Rachid ABABOU

Journal of Computational Physics, 2019

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A New Random Walk Simulation Model for Study of Diffusion Behavior of Single Particle Within Two-Dimensional Space

绍铭 黎

Journal of Electrochemistry

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A new method for choosing the computational cell in stochastic reaction–diffusion systems

Hans Othmer

2011

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The failure of isotropic continuous time random walk to model diffusion in porous media and a redeeming modification

Raphael Blumenfeld

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Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems

Karl Sabelfeld

Monte Carlo Methods and Applications

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A New Class of Cellular Automata for Reaction-Diffusion Systems

Jean Pierre Boon

1993

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A Monte Carlo method for the simulation of first passage times of diffusion processes

Cristina Zucca, Laura Sacerdote

Methodology and Computing in …, 2001

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Monte Carlo random walk simulations based on distributed order differential equations with applications to cell biology

Sabir Umarov

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Numeric solution of advection–diffusion equations by a discrete time random walk scheme

Bruce Henry

Numerical Methods for Partial Differential Equations

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Simulation of stochastic diffusion via first exit times

Per Lötstedt

Journal of Computational Physics, 2015

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General-purpose graphics processing units application for diffusion simulation using cellular automata

Andrey Kolnoochenko, Pavel Gurikov

2011

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Cell size dependence of transport coefficients in stochastic particle algorithms

alberto garcia

1998

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Class of cellular automata for reaction-diffusion systems

Jean Pierre Boon

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1994

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Adaptive stochastic numerical scheme in parallel random walk models for transport problems in shallow water

Hai Xiang Lin

Mathematical and Computer Modelling, 2009

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Random-walk simulation of cell migration and proliferation

Charo Osta Pinzolas

2011

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Stochastic Analysis of Reaction–Diffusion Processes

Hans Othmer

Bulletin of Mathematical Biology, 2014

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Simulation of steady-state diffusion: Driving force ensured by dual control volumes or local equilibrium Monte Carlo

Zoltan Hato

The Journal of Chemical Physics, 2012

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Simulation of diffusion controlled reaction kinetics using cellular automata

Donald Franceschetti

Physics Letters A, 1989

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Brownian dynamics simulation of diffusion to irregular bodies

Kim Sharp

The Journal of Physical Chemistry, 1987

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The path probability method: An atomistic technique of diffusion

Sheikh Akbar

Journal of Materials Science, 1992

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