The Computational Modeling of Crystalline Materials Using a Stochastic Variational Principle. - Dennis D. Cox; Petr Kloucek; Daniel R. Reynolds (International Conference on Computational Science (2), 2002)

Efficient and automatic implementation of the adjoint state method. - Mark S. Gockenbach; Daniel R. Reynolds; Peng Shen; William W. Symes (ACM Trans. Math. Softw., 2002)

On thermodynamic active control of shape memory alloy wires. - Petr Kloucek; Daniel R. Reynolds; Thomas I. Seidman (Syst. Control. Lett., 2003)

On the asymptotically stochastic computational modeling of microstructures. - Dennis D. Cox; Petr Kloucek; Daniel R. Reynolds (Future Gener. Comput. Syst., 2004)

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

Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization. - Daniel R. Reynolds; John C. Hayes; Pascal Paschos; Michael L. Norman (J. Comput. Phys., 2009)

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

Modeling early galaxies using radiation hydrodynamics. - Joseph A. Insley; Rick Wagner; Robert Harkness; Daniel R. Reynolds; Michael L. Norman; Mark Hereld; Eric C. Olson; Michael E. Papka; Venkatram Vishwanath (SC Companion, 2011)

Direct Numerical Simulations of Cosmological Reionization: Field Comparison: Density. - Joseph A. Insley; Mark Hereld; Michael E. Papka; Rick Wagner; Robert Harkness; Michael L. Norman; Daniel R. Reynolds (SC Companion, 2012)

Direct Numerical Simulations of Cosmological Reionization: Field Comparison: Ionization Fraction. - Joseph A. Insley; Mark Hereld; Michael E. Papka; Rick Wagner; Robert Harkness; Michael L. Norman; Daniel R. Reynolds (SC Companion, 2012)

Cosmology on the Blue Waters Early Science System. - Brian W. O'Shea; Michael L. Norman; Britton Smith; Mathew Turk; Michael Kuhlen; John H. Wise; Daniel R. Reynolds; Robert Harkness; Manisha Gajbe; Dave Semeraro (SC Companion, 2012)

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)

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

Impact and importance of hyperdiffusion on the spectral element method: A linear dispersion analysis. - Paul A. Ullrich; Daniel R. Reynolds; Jorge E. Guerra; Mark A. Taylor (J. Comput. Phys., 2018)

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

Further development of efficient and accurate time integration schemes for meteorological models. - Vu Thai Luan; Janusz A. Pudykiewicz; Daniel R. Reynolds (J. Comput. Phys., 2019)

ENZO: An Adaptive Mesh Refinement Code for Astrophysics (Version 2.6). - Corey Brummel-Smith; Greg Bryan; Iryna Butsky; Lauren Corlies; Andrew Emerick; John C. Forbes; Yusuke Fujimoto; Nathan J. Goldbaum; Philipp Grete; Cameron Hummels; Ji-hoon Kim; Daegene Koh; et al. (J. Open Source Softw., 2019)

Implicit-explicit multirate infinitesimal methods. - Rujeko Chinomona; Daniel R. Reynolds (CoRR, 2020)

A New Class of High-Order Methods for Multirate Differential Equations. - Vu Thai Luan; Rujeko Chinomona; Daniel R. Reynolds (SIAM J. Sci. Comput., 2020)

Cyclically parallelized treecode for fast computations of electrostatic interactions on molecular surfaces. - Jiahui Chen 006; Weihua Geng; Daniel R. Reynolds (Comput. Phys. Commun., 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)

Implicit-Explicit Multirate Infinitesimal GARK Methods. - Rujeko Chinomona; Daniel R. Reynolds (SIAM J. Sci. Comput., 2021)

Adaptive time step control for infinitesimal multirate methods. - Alex C. Fish; Daniel R. Reynolds (CoRR, 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)

Multirate Exponential Rosenbrock Methods. - Vu Thai Luan; Rujeko Chinomona; Daniel R. Reynolds (SIAM J. Sci. Comput., 2022)

Adaptive Time Step Control for Multirate Infinitesimal Methods. - Alex C. Fish; Daniel R. Reynolds (SIAM J. Sci. Comput., 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)

Optimized parallelization of boundary integral Poisson-Boltzmann solvers. - Xin Yang; Elyssa Sliheet; Reece Iriye; Daniel R. Reynolds; Weihua Geng (Comput. Phys. Commun., 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)

Implicit-explicit multirate infinitesimal stage-restart methods. - Alex C. Fish; Daniel R. Reynolds; Steven B. Roberts (J. Comput. Appl. Math., 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)