46 citations · 346 across the 38 of their papers we have counts for
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physics.data-an2020★ 21 cited
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…
math.AP2020
Exact Large Time Behavior of Spherically-Symmetric Plasmas
Stephen Pankavich
We consider the classical and relativistic Vlasov-Poisson systems with spherically-symmetric initial data and prove the optimal decay rates for all suitable norms of the char…
physics.comp-ph2020★ 21 cited
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…