Random Walkers Cellular Automata for Diffusion Processes
AbstractSmooth concentration fields and balance equations for systems of random walkers are obtained by using the coarsegrained space‐time averaging method…
works
On the Misra-Prigogine-Courbage theory of irreversibility 2. The existence of the nonunitary similarity
AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…
Derivation of one-dimensional hydrodynamic model for stock price evolution
AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…
Global Random Walk simulations of diffusion
AbstractRandom walk methods are suitable to build up convergent solutions for reaction-diffusion problems and were successfully applied to simulations of transport…
Global random walk model of diffusion in random velocity fields
Abstract ? AuthorsN. Suciu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy C. Vamoş Tiberiu Popoviciu Institute of Numerical Analysis…
Generalized random walk algorithm for the numerical modeling of complex diffusion processes
AbstractA generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a…
Numerical Modeling of Large Scale Transport of Contaminant Solutes Using the Global Random Walk Algorithm
AbstractThe methods which track particles to simulate concentrations are successfully used in problems for large scale transport in groundwater, mainly…
Biased global random walk, a cellular automaton for diffusion
Abstract ? AuthorsN. Suciu Institute of Applied Mathematics, Martensstraße 3, Erlangen, Germany C. Vamoş Tiberiu Popoviciu” Institute of Numerical Analysis,…
Numerical investigations on ergodicity of solute transport in heterogeneous aquifers
AbstractDarcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields. Accurate…
Evaluation of the first‐order approximations for transport in heterogeneous media
AbstractLongitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in velocity…