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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

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5 papers · 1 filter

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…

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…

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…

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…