Modeling non‐Fickian transport in geological formations as a continuous time random walk

B Berkowitz, A Cortis, M Dentz… - Reviews of …, 2006 - Wiley Online Library
Non‐Fickian (or anomalous) transport of contaminants has been observed at field and
laboratory scales in a wide variety of porous and fractured geological formations. Over many …

The Fourier-series method for inverting transforms of probability distributions

J Abate, W Whitt - Queueing systems, 1992 - Springer
This paper reviews the Fourier-series method for calculating cumulative distribution
functions (cdf's) and probability mass functions (pmf's) by numerically inverting characteristic …

Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation

AE Abouelregal, B Akgöz, Ö Civalek - Computers & Mathematics with …, 2023 - Elsevier
The objective of this work is to improve an appropriate generalized thermoelastic heat
transport framework. In the proposed model, the mathematical heat transfer equation is …

[KİTAP][B] Fractional processes and fractional-order signal processing: techniques and applications

H Sheng, YQ Chen, TS Qiu - 2011 - books.google.com
Fractional processes are widely found in science, technology and engineering systems. In
Fractional Processes and Fractional-order Signal Processing, some complex random …

[KİTAP][B] Numerical methods for Laplace transform inversion

AM Cohen - 2007 - books.google.com
Operational methods have been used for over a century to solve problems such as ordinary
and partial differential equations. When solving such problems, in many cases it is fairly …

[KİTAP][B] Uncertainty analysis of transport-transformation models

SS Isukapalli - 1999 - search.proquest.com
Abstract Characterization of uncertainty associated with transport-transformation models is
often of critical importance, as for example in cases where environmental and biological …

Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport

M Dentz, A Cortis, H Scher, B Berkowitz - Advances in Water Resources, 2004 - Elsevier
We study the time behavior of solute transport in a heterogeneous medium. We consider a
spatially biased continuous time random walk (CTRW) governed by ψ (s, t), the joint …

When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic …

B Zinn, CF Harvey - Water Resources Research, 2003 - Wiley Online Library
We describe the upscaled groundwater flow and solute transport characteristics of two‐
dimensional hydraulic conductivity fields with three fundamentally different spatial textures …

Green's functions for geophysics: a review

E Pan - Reports on Progress in Physics, 2019 - iopscience.iop.org
The Green's function (GF) method, which makes use of GFs, is an important and elegant tool
for solving a given boundary-value problem for the differential equation from a real …

A review and evaluation of numerical tools for fractional calculus and fractional order controls

Z Li, L Liu, S Dehghan, YQ Chen… - International journal of …, 2017 - Taylor & Francis
In recent years, as fractional calculus becomes more and more broadly used in research
across different academic disciplines, there are increasing demands for the numerical tools …