activity
20162023
most citedEnabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers

179 citations · 273 across the 10 of their papers we have counts for

collaborators

11 papers

physics.comp-ph2023★ 4 cited

Numerical coupling of aerosol emissions, dry removal, and turbulent mixing in the E3SM Atmosphere Model version 1 (EAMv1), part I: dust budget analyses and the impacts of a revised coupling scheme

Hui Wan, Kai Zhang, Christopher J. Vogl +5

An earlier study evaluating the dust life cycle in the Energy Exascale Earth System Model (E3SM) Atmosphere Model version 1 (EAMv1) has revealed that the simulated global mean dust…

math.NA2023★ 2 cited

Numerical coupling of aerosol emissions, dry removal, and turbulent mixing in the E3SM Atmosphere Model version 1 (EAMv1), part II: a semi-discrete error analysis framework for assessing coupling schemes

Christopher J. Vogl, Hui Wan, Carol S. Woodward +1

This paper complements the empirical justification of the revised scheme in Part I of this work with a mathematical justification leveraging a semi-discrete analysis framework for…

math.NA2022★ 3 cited

Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks

John J. Loffeld, Andy Nonaka, Daniel R. Reynolds +2

Large-scale multiphysics simulations are computationally challenging due to the coupling of multiple processes with widely disparate time scales. The advent of exascale computing s…

cs.MS2022★ 23 cited

ARKODE: a flexible IVP solver infrastructure for one-step methods

Daniel R. Reynolds, David J. Gardner, Carol S. Woodward +1

We describe the ARKODE library of one-step time integration methods for ordinary differential equation (ODE) initial-value problems (IVPs). In addition to providing standard explic…

math.NA2021★ 3 cited

Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers

Shelby Lockhart, David J. Gardner, Carol S. Woodward +2

Anderson Acceleration (AA) is a method to accelerate the convergence of fixed point iterations for nonlinear, algebraic systems of equations. Due to the requirement of solving a le…

cs.DC2020★ 21 cited

Enabling GPU Accelerated Computing in the SUNDIALS Time Integration Library

Cody J. Balos, David J. Gardner, Carol S. Woodward +1

As part of the Exascale Computing Project (ECP), a recent focus of development efforts for the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been to…

cs.MS2020★ 179 cited

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers

David J. Gardner, Daniel R. Reynolds, Carol S. Woodward +1

In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party…

math.NA2019★ 21 cited

Implicit multirate GARK methods

Steven Roberts, John Loffeld, Arash Sarshar +2

This work considers multirate generalized-structure additively partitioned Runge-Kutta (MrGARK) methods for solving stiff systems of ordinary differential equations (ODEs) with mul…

cs.DC2019★ 1 cited

SUNDIALS Multiphysics+MPIManyVector Performance Testing

Daniel R. Reynolds, David J. Gardner, Cody J. Balos +1

In this report we document performance test results on a SUNDIALS-based multiphysics demonstration application. We aim to assess the large-scale parallel performance of new capabil…

math.NA2019★ 16 cited

Evaluation of Implicit-Explicit Additive Runge-Kutta Integrators for the HOMME-NH Dynamical Core

Christopher J. Vogl, Andrew Steyer, Daniel R. Reynolds +2

The nonhydrostatic High Order Method Modeling Environment (HOMME-NH) atmospheric dynamical core supports acoustic waves that propagate significantly faster than the advective wind…

cs.CE2016

Research and Education in Computational Science and Engineering

Ulrich Rüde, Karen Willcox, Lois Curfman McInnes +30

Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance…