159 citations · 308 across the 12 of their papers we have counts for
13 papers
ProtoX: A First Look
Het Mankad, Sanil Rao, Brian Van Straalen +2
We present a first look at ProtoX, a code generation framework for stencil and pointwise operations that occur frequently in the numerical solution of partial differential equation…
An adaptive local discrete convolution method for the numerical solution of Maxwell's equations
Boris Lo, Phillip Colella
We present a numerical method for solving the free-space Maxwell's equations in three dimensions using compact convolution kernels on a rectangular grid. We first rewrite Maxwell's…
High-order Discretization of a Gyrokinetic Vlasov Model in Edge Plasma Geometry
Milo R. Dorr, Phillip Colella, Mikhail A. Dorf +3
We present a high-order spatial discretization of a continuum gyrokinetic Vlasov model in axisymmetric tokamak edge plasma geometries. Such models describe the phase space advectio…
Computation of Volume Potentials on Structured Grids Using the Method of Local Corrections
Chris Kavouklis, Phillip Colella
We present a new version of the Method of Local Corrections (MLC) \cite{mlc}, a multilevel, low communications, non-iterative, domain decomposition algorithm for the numerical solu…
A Survey of High Level Frameworks in Block-Structured Adaptive Mesh Refinement Packages
Anshu Dubey, Ann Almgren, John Bell +11
Over the last decade block-structured adaptive mesh refinement (SAMR) has found increasing use in large, publicly available codes and frameworks. SAMR frameworks have evolved along…
A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov-Poisson Equation
Andrew Myers, Phillip Colella, Brian Van Straalen
Numerical solutions to the Vlasov-Poisson system of equations have important applications to both plasma physics and cosmology. In this paper, we present a new Particle-in-Cell (PI…