An Object-Oriented Design for the Parallel Solution of Systems of Nonlinear, Time-Dependent Partial Differential Equations. - Richard D. Hornung; Carol S. Woodward (PP, 1999)

Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media. - Carol S. Woodward; Clint N. Dawson (SIAM J. Numer. Anal., 2000)

Special issue on 'Solution Methods for Large-Scale Non-linear Problems'. - Panayot S. Vassilevski; Carol S. Woodward (Numer. Linear Algebra Appl., 2001)

Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer. - Peter N. Brown; Carol S. Woodward (SIAM J. Sci. Comput., 2001)

On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm. - Peter N. Brown; Panayot S. Vassilevski; Carol S. Woodward (SIAM J. Sci. Comput., 2003)

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers. - Alan C. Hindmarsh; Peter N. Brown; Keith E. Grant; Steven L. Lee; Radu Serban; Dan E. Shumaker; Carol S. Woodward (ACM Trans. Math. Softw., 2005)

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics. - Daniel R. Reynolds; Ravi Samtaney; Carol S. Woodward (J. Comput. Phys., 2006)

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. - Peter N. Brown; Homer F. Walker; Rebecca Wasyk; Carol S. Woodward (SIAM J. Numer. Anal., 2008)

Operator-Based Preconditioning of Stiff Hyperbolic Systems. - Daniel R. Reynolds; Ravi Samtaney; Carol S. Woodward (SIAM J. Sci. Comput., 2010)

Multiphysics simulations: Challenges and opportunities. - David E. Keyes; Lois C. McInnes; Carol S. Woodward; William Gropp; Eric Myra; Michael Pernice; John B. Bell; Jed Brown; Alain Clo; Jeffrey M. Connors; Emil M. Constantinescu; Donald J. Estep; et al. (Int. J. High Perform. Comput. Appl., 2013)

A Method to Calculate Numerical Errors Using Adjoint Error Estimation for Linear Advection. - Jeffrey M. Connors; Jeffrey W. Banks; Jeffrey A. F. Hittinger; Carol S. Woodward (SIAM J. Numer. Anal., 2013)

On-line transient stability analysis using high performance computing. - Steve Smith; Carol S. Woodward; Liang Min; Chaoyang Jing; Alberto Del Rosso (ISGT, 2014)

Progress in Fast, Accurate Multi-scale Climate Simulations. - William D. Collins; Hans Johansen; Katherine J. Evans; Carol S. Woodward; Peter M. Caldwell (ICCS, 2015)

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)

Research and Education in Computational Science and Engineering. - Ulrich Rüde; Karen Willcox; Lois Curfman McInnes; Hans De Sterck; George Biros; Hans-Joachim Bungartz; James Corones; Evin Cramer; James Crowley; Omar Ghattas; Max D. Gunzburger; Michael Hanke; et al. (CoRR, 2016)

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)

A parallel-in-time algorithm for variable step multistep methods. - Robert D. Falgout; Matthieu Lecouvez; Carol S. Woodward (J. Comput. Sci., 2019)

Batched Sparse Iterative Solvers for Computational Chemistry Simulations on GPUs. - Isha Aggarwal; Aditya Kashi; Pratik Nayak; Cody J. Balos; Carol S. Woodward; Hartwig Anzt (ScalA@SC, 2021)

Implicit Multirate GARK Methods. - Steven B. Roberts; John Loffeld; Arash Sarshar; Carol S. Woodward; Adrian Sandu (J. Sci. Comput., 2021)

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)

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; Quan M. Bui (CoRR, 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)