On the Use of Finite Difference Matrix-vector Products in Newton-krylov Solvers for Implicit Climate Dynamics with Spectral Elements. - Carol S. Woodward; David J. Gardner; Katherine J. Evans (ICCS, 2015)

Filters for Improvement of Multiscale Data from Atomistic Simulations. - David J. Gardner; Daniel R. Reynolds (Multiscale Model. Simul., 2017)

Preparation and optimization of a diverse workload for a large-scale heterogeneous system. - Ian Karlin; Yoonho Park; Bronis R. de Supinski; Peng Wang; Bert Still; David Beckingsale; Robert Blake; Tong Chen 001; Guojing Cong; Carlos H. A. Costa; Johann Dahm; Giacomo Domeniconi; et al. (SC, 2019)

SUNDIALS Multiphysics+MPIManyVector Performance Testing. - Daniel R. Reynolds; David J. Gardner; Cody J. Balos; Carol S. Woodward (CoRR, 2019)

Performance analysis of fully explicit and fully implicit solvers within a spectral element shallow-water atmosphere model. - Katherine J. Evans; Richard K. Archibald; David J. Gardner; Matthew R. Norman; Mark A. Taylor; Carol S. Woodward; Patrick H. Worley (Int. J. High Perform. Comput. Appl., 2019)

Enabling GPU accelerated computing in the SUNDIALS time integration library. - Cody J. Balos; David J. Gardner; Carol S. Woodward; Daniel R. Reynolds (Parallel Comput., 2021)

Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers. - Shelby Lockhart; David J. Gardner; Carol S. Woodward; Stephen Thomas; Luke N. Olson (PP, 2022)

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers. - David J. Gardner; Daniel R. Reynolds; Carol S. Woodward; Cody J. Balos (ACM Trans. Math. Softw., 2022)

Leveraging Mixed Precision in Exponential Time Integration Methods. - Cody J. Balos; Steven B. Roberts; David J. Gardner (HPEC, 2023)

ARKODE: A Flexible IVP Solver Infrastructure for One-step Methods. - Daniel R. Reynolds; David J. Gardner; Carol S. Woodward; Rujeko Chinomona (ACM Trans. Math. Softw., 2023)

SUNDIALS Time Integrators for Exascale Applications with Many Independent ODE Systems. - Cody J. Balos; Marc Day; Lucas Esclapez; Anne Felden; David J. Gardner; Malik Hassanaly; Daniel R. Reynolds; Jon S. Rood; Jean M. Sexton; Nicholas T. Wimer; Carol S. Woodward (CoRR, 2024)

Towards the Use of Anderson Acceleration in Coupled Transport-Gyrokinetic Turbulence Simulations. - David J. Gardner; Lynda L. LoDestro; Carol S. Woodward (CoRR, 2024)

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; David J. Gardner; Carol S. Woodward (Int. J. High Perform. Comput. Appl., 2024)

SUNDIALS time integrators for exascale applications with many independent systems of ordinary differential equations. - Cody J. Balos; Marcus Day; Lucas Esclapez; Anne M. Felden; David J. Gardner; Malik Hassanaly; Daniel R. Reynolds; Jon S. Rood; Jean M. Sexton; Nicholas T. Wimer; Carol S. Woodward (Int. J. High Perform. Comput. Appl., 2025)

New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0. - Steven B. Roberts; Mustafa Aggül; Daniel R. Reynolds; Cody J. Balos; David J. Gardner; Carol S. Woodward (CoRR, 2025)