44 citations · 188 across the 15 of their papers we have counts for
4 papers · 1 filter
A COGENT case study: Supporting Applications with Chombo
Daniel F. Martin, Milo Dorr, Mikhail Dorf +1
We present a case study of how a software framework (Chombo) supported the specific needs of a scientific application (COGENT). Since its inception in 2000, the Chombo framework ha…
An explicit, energy-conserving particle-in-cell scheme
Lee F. Ricketson, Jingwei Hu
We present an explicit temporal discretization of particle-in-cell schemes for the Vlasov equation that results in exact energy conservation when combined with an appropriate spati…
Accurate Derivative Evaluation for any Grad-Shafranov Solver
L. F. Ricketson, A. J. Cerfon, M. Rachh +1
We present a numerical scheme that can be combined with any fixed boundary finite element based Poisson or Grad-Shafranov solver to compute the first and second partial derivatives…
Three Improvements to Multi-Level Monte Carlo Simulation of SDE Systems
L. F. Ricketson
We introduce three related but distinct improvements to multilevel Monte Carlo (MLMC) methods for the solution of systems of stochastic differential equations (SDEs). Firstly, we s…