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The Fractional AdvectionDispersion Equation: Development and Application
, 1998
"... The traditional 2ndorder advectiondispersion equation (ADE) does not adequately describe the movement of solute tracers in aquifers. This study examines and rederives the governing equation. The analysis starts with a generalized notion of particle movements, since the secondorder equation is tr ..."
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Cited by 27 (12 self)
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The traditional 2ndorder advectiondispersion equation (ADE) does not adequately describe the movement of solute tracers in aquifers. This study examines and rederives the governing equation. The analysis starts with a generalized notion of particle movements, since the secondorder equation
Actions as spacetime shapes
 In ICCV
, 2005
"... Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as threedimensional shapes induced by the silhouettes in the spacetime volume. We adopt a recent approach [14] for analyzing 2D shapes and genera ..."
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Cited by 642 (4 self)
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and viewpoint, high irregularities in the performance of an action, and low quality video. Index Terms Action representation, action recognition, spacetime analysis, shape analysis, poisson equation
Application of a Fractional AdvectionDispersion Equation
 Water Resour. Res
, 2000
"... A transport equation that uses fractionalorder dispersion derivatives has fundamental solutions that are Levy's #stable densities. These densities represent plumes that spread proportional to time , have heavy tails, and incorporate any degree of skewness. The equation is parsimonious s ..."
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Cited by 86 (22 self)
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A transport equation that uses fractionalorder dispersion derivatives has fundamental solutions that are Levy's #stable densities. These densities represent plumes that spread proportional to time , have heavy tails, and incorporate any degree of skewness. The equation is parsimonious
Multiscaling Fractional AdvectionDispersion Equations and Their Solutions
, 2003
"... rocesses; 3250 Mathematical Geophysics: Fractals and multifractals; 5104 Physical Properties of Rocks: Fracture and flow; 5139 Physical Properties of Rocks: Transport properties; KEYWORDS: fractional, dispersion, fractal, fracture, anomalous, transport Citation: Schumer, R., D. A. Benson, M. M. M ..."
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Cited by 25 (13 self)
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. Among them are fractional advectiondispersion equations (ADEs), analytical equations that employ fractional derivatives in describing the growth and scaling of diffusionlike plume spreading. Fractional ADEs are the limiting equations governing continuous time random walks (CTRW) with arbitrary
THE FUNDAMENTAL SOLUTION OF THE SPACETIME FRACTIONAL ADVECTIONDISPERSION EQUATION
"... This is the author’s version of a work that was submitted/accepted for publication in the following source: ..."
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Cited by 8 (2 self)
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This is the author’s version of a work that was submitted/accepted for publication in the following source:
Representing twentieth century spacetime climate variability, part 1: development of a 196190 mean monthly terrestrial climatology
 Journal of Climate
, 1999
"... The construction of a 0.58 lat 3 0.58 long surface climatology of global land areas, excluding Antarctica, is described. The climatology represents the period 1961–90 and comprises a suite of nine variables: precipitation, wetday frequency, mean temperature, diurnal temperature range, vapor pressur ..."
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Cited by 551 (12 self)
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The construction of a 0.58 lat 3 0.58 long surface climatology of global land areas, excluding Antarctica, is described. The climatology represents the period 1961–90 and comprises a suite of nine variables: precipitation, wetday frequency, mean temperature, diurnal temperature range, vapor
Space/Time Tradeoffs in Hash Coding with Allowable Errors
 Communications of the ACM
, 1970
"... this paper tradeoffs among certain computational factors in hash coding are analyzed. The paradigm problem considered is that of testing a series of messages onebyone for membership in a given set of messages. Two new hash coding methods are examined and compared with a particular conventional h ..."
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Cited by 2067 (0 self)
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hashcoding method. The computational factors considered are the size of the hash area (space), the time required to identify a message as a nonmember of the given set (reject time), and an allowable error frequency
Finite Difference Approximations for Fractional AdvectionDispersion Flow Equations
, 2004
"... Fractional advectiondispersion equations are used in groundwater hydrology tomqU the transport of passive tracers carried by fluid flow in a porous mrousq In this paper we develop practical numtical mumti to solve one dimUEBDqyU fractional advectiondispersion equations with variable coefficients ..."
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Cited by 96 (10 self)
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Fractional advectiondispersion equations are used in groundwater hydrology tomqU the transport of passive tracers carried by fluid flow in a porous mrousq In this paper we develop practical numtical mumti to solve one dimUEBDqyU fractional advectiondispersion equations with variable coefficients
Fractional advectiondispersion equations for modeling transport at the Earth surface
, 2009
"... [1] Characterizing the collective behavior of particle transport on the Earth surface is a key ingredient in describing landscape evolution. We seek equations that capture essential features of transport of an ensemble of particles on hillslopes, valleys, river channels, or river networks, such as m ..."
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Cited by 14 (3 self)
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, such as mass conservation, superdiffusive spreading in flow fields with large velocity variation, or retardation due to particle trapping. Development of stochastic partial differential equations such as the advectiondispersion equation (ADE) begins with assumptions about the random behavior of a single
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