11 citations · 20 across the 6 of their papers we have counts for
7 papers
Accelerating phase-field simulations on exascale computing systems for faster-than-real-time precipitate aging predictions
Stephen DeWitt, David J. Gardner, Philip Fackler +4
Three-dimensional phase-field simulations are a gold-standard for microstructure prediction for materials, but their computational cost often limits application-relevant calculatio…
Leveraging higher-order time integration methods for improved computational efficiency in a rainshaft model
Justin Dong, Sean P. Santos, Steven B. Roberts +2
Cloud and precipitation microphysics packages in atmospheric general circulation models typically use first-order time integration methods with a large time step, requiring ad hoc…
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
Steven B. Roberts, Mustafa Ağgül, Daniel R. Reynolds +3
SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements an…
Advancing Simulations of Coupled Electron and Phonon Nonequilibrium Dynamics Using Adaptive and Multirate Time Integration
Jia Yao, Ivan Maliyov, David J. Gardner +2
Electronic structure calculations in the time domain provide a deeper understanding of nonequilibrium dynamics in materials. The real-time Boltzmann equation (rt-BTE), used in conj…
Towards the Use of Anderson Acceleration in Coupled Transport-Gyrokinetic Turbulence Simulations
David J. Gardner, Lynda L. LoDestro, Carol S. Woodward
Predicting the behavior of a magnetically confined fusion plasma over long time periods requires methods that can bridge the difference between transport and turbulent time scales.…
SUNDIALS Time Integrators for Exascale Applications with Many Independent ODE Systems
Cody J. Balos, Marc Day, Lucas Esclapez +8
Many complex systems can be accurately modeled as a set of coupled time-dependent partial differential equations (PDEs). However, solving such equations can be prohibitively expens…
Adaptive Time Stepping for the Two-Time Integro-Differential Kadanoff-Baym Equations
Thomas Blommel, David J. Gardner, Carol S. Woodward +1
The non-equilibrium Green's function gives access to one-body observables for quantum systems. Of particular interest are quantities such as density, currents, and absorption spect…