210 citations · 533 across the 14 of their papers we have counts for
5 papers · 1 filter
PDEs with Compressed Solutions
Russel E. Caflisch, Stanley J. Osher, Hayden Schaeffer +1
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted t…
Simulation with Fluctuating and Singular Rates
Farzin Barekat, Russel Caflisch
In this paper we present a method to generate independent samples for a general random variable, either continuous or discrete. The algorithm is an extension of the acceptance-reje…
Multilevel Monte Carlo simulation of Coulomb collisions
M. S. Rosin, L. F. Ricketson, A. M. Dimits +2
We present a new, for plasma physics, highly efficient multilevel Monte Carlo numerical method for simulating Coulomb collisions. The method separates and optimally minimizes the f…
Compressed Modes for Variational Problems in Mathematics and Physics
Vidvuds Ozoliņš, Rongjie Lai, Russel Caflisch +1
This paper describes a general formalism for obtaining localized solutions to a class of problems in mathematical physics, which can be recast as variational optimization problems.…
An entropy based thermalization scheme for hybrid simulations of Coulomb collisions
L. F. Ricketson, M. S. Rosin, R. E. Caflisch +1
We formulate and test a hybrid fluid-Monte Carlo scheme for the treatment of elastic collisions in gases and plasmas. While our primary focus and demonstrations of applicability ar…