3 citations · 3 across the 4 of their papers we have counts for
14 papers
A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data
Nhat Thanh Tran, David A. Benson, Michael J. Schmidt +1
Traditional probabilistic methods for the simulation of advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, e.g., the number of par…
Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation
David A Benson, Diogo Bolster, Stephen Pankavich +1
Traditional interpolation techniques for particle tracking include binning and convolutional formulas that use pre-determined (i.e., closed-form, parameteric) kernels. In many inst…
A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients
Michael J. Schmidt, Nicholas B. Engdahl, Stephen D. Pankavich +1
The problem of a spatially discontinuous diffusion coefficient () is one that may be encountered in hydrogeologic systems due to natural geological features or as…
Bistable Dynamics and Hopf Bifurcation in a Refined Model of Early Stage HIV Infection
Stephen Pankavich, Nathan Neri, Deborah Shutt
Recent clinical studies have shown that HIV disease pathogenesis can depend strongly on many factors at the time of transmission, including the strength of the initial viral load a…
Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)
David A. Benson, Stephen Pankavich, Michael Schmidt +1
Traditional random-walk particle-tracking (PT) models of advection and dispersion do not track entropy, because particle masses remain constant. Newer mass-transfer particle tracki…
Numerical Equivalence Between SPH and Probabilistic Mass Transfer Methods for Lagrangian Simulation of Dispersion
Guillem Sole-Mari, Michael J. Schmidt, Stephen D. Pankavich +1
Several Lagrangian methodologies have been proposed in recent years to simulate advection-dispersion of solutes in fluids as a mass exchange between numerical particles carrying th…