74 citations · 282 across the 8 of their papers we have counts for
8 papers
A Fourth-Order Adaptive Mesh Refinement Algorithm for the Multicomponent, Reacting Compressible Navier-Stokes Equations
Matthew Emmett, Emmanuel Motheau, Weiqun Zhang +2
In this paper we present a fourth-order in space and time block-structured adaptive mesh refinement algorithm for the compressible multicomponent reacting Navier-Stokes equations.…
Interweaving PFASST and Parallel Multigrid
Michael Minion, Robert Speck, Matthias Bolten +2
The parallel full approximation scheme in space and time (PFASST) introduced by Emmett and Minion in 2012 is an iterative strategy for the temporal parallelization of ODEs and disc…
High order schemes based on operator splitting and deferred corrections for stiff time dependent PDEs
Max Duarte, Matthew Emmett
We consider quadrature formulas of high order in time based on Radau-type, L-stable implicit Runge-Kutta schemes to solve time dependent stiff PDEs. Instead of solving a large nonl…
Inexact spectral deferred corrections
Robert Speck, Daniel Ruprecht, Michael Minion +2
Spectral deferred correction (SDC) methods are an attractive approach to iteratively computing collocation solutions to an ODE by performing so-called sweeps with a low-order time…
High-Order Algorithms for Compressible Reacting Flow with Complex Chemistry
M. Emmett, W. Zhang, J. B. Bell
In this paper we describe a numerical algorithm for integrating the multicomponent, reacting, compressible Navier-Stokes equations, targeted for direct numerical simulation of comb…
A space-time parallel solver for the three-dimensional heat equation
Robert Speck, Daniel Ruprecht, Matthew Emmett +2
The paper presents a combination of the time-parallel "parallel full approximation scheme in space and time" (PFASST) with a parallel multigrid method (PMG) in space, resulting in…
A multi-level spectral deferred correction method
Robert Speck, Daniel Ruprecht, Matthew Emmett +3
The spectral deferred correction (SDC) method is an iterative scheme for computing a higher-order collocation solution to an ODE by performing a series of correction sweeps using a…
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems
David I. Ketcheson, Kyle T. Mandli, Aron Ahmadia +5
Development of scientific software involves tradeoffs between ease of use, generality, and performance. We describe the design of a general hyperbolic PDE solver that can be operat…