On the numerical treatment of the eigenparameter dependent boundary conditions
Abstract In this paper, we consider the numerical treatment of singular eigenvalue problems supplied with eigenparameter dependent boundary conditions using…
Read MoreSpectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
Abstract In numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain…
Read MoreStable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problems
Abstract We are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona…
Read MoreA time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
Abstract Probability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty.…
Read MoreNumerical investigations on ergodicity of solute transport in heterogeneous aquifers
Abstract Darcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields.…
Read MoreEvaluation of the first‐order approximations for transport in heterogeneous media
Abstract Longitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in…
Read MoreGlobal random walk modeling of transport in complex systems
Abstract The Global random walk algorithm performs simultaneously the tracking of large collections of particles and permits massive simulations at…
Read MoreOn the self-averaging of dispersion for transport in quasi-periodic random media
Abstract In this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in…
Read MoreComment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin
Abstract Authors N. Suciu C. Vamos Keywords Paper coordinates N. Suciu, C. Vamoş, Comment on ‘Nonstationary flow and nonergodic…
Read MoreMemory effects and ergodicity for diffusion in spatially correlated velocity fields
Abstract We show that the process of diffusion in statistically homogeneous velocity fields with finite correlation range “remembers” the shape…
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