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Proof of concept of regional scale hydrologic simulations at hydrologic resolution utilizing massively parallel computer resources

Water resources research, 2010-04, Vol.46 (4), p.n/a

2010

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Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models

Geoscientific Model Development, 2018-04, Vol.11 (4), p.1497-1515

2018

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

Journal of advances in modeling earth systems, 2019-12, Vol.11 (12), p.4228-4244

2019

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Removing Numerical Pathologies in a Turbulence Parameterization Through Convergence Testing

Journal of advances in modeling earth systems, 2023-05, Vol.15 (5), p.n/a

2023

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Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: The Impacts of Closure Assumption and Process Coupling

Journal of advances in modeling earth systems, 2020-10, Vol.12 (10), p.n/a

2020

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An Objective and Efficient Method for Assessing the Impact of Reduced‐Precision Calculations On Solution Correctness

Journal of advances in modeling earth systems, 2019-10, Vol.11 (10), p.3131-3147

2019

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Implicit Multirate GARK Methods

Journal of scientific computing, 2021-04, Vol.87 (1), p.4, Article 4

2021

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Simulating coupled surface–subsurface flows with ParFlow v3.5.0: capabilities, applications, and ongoing development of an open-source, massively parallel, integrated hydrologic model

Geoscientific Model Development, 2020-03, Vol.13 (3), p.1373-1397

2020

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

The international journal of high performance computing applications, 2024-07, Vol.38 (4), p.263-281

2024

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SUNDIALS : Suite of nonlinear and differential/algebraic equation solvers

ACM transactions on mathematical software, 2005-09, Vol.31 (3), p.363-396

2005

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Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: Using Mathematical Rigor to Avoid Nonphysical Behavior in a Parameterization

Journal of advances in modeling earth systems, 2020-10, Vol.12 (10), p.n/a

2020

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Newton–Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems

Advances in water resources, 2001-07, Vol.24 (7), p.763-774

2001

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Quantification of errors for operator-split advection–diffusion calculations

Computer methods in applied mechanics and engineering, 2014-04, Vol.272, p.181-197

2014

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Performance analysis of fully explicit and fully implicit solvers within a spectral element shallow-water atmosphere model

The international journal of high performance computing applications, 2019-03, Vol.33 (2), p.268-284

2019

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Parallel-in-Time Solution of Power Systems with Unscheduled Events

2020 IEEE Power & Energy Society General Meeting (PESGM), 2020, p.1-5

2020

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Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE

Computational geosciences, 2015-02, Vol.19 (1), p.49-61

2015

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Operator-Based Preconditioning of Stiff Hyperbolic Systems

SIAM journal on scientific computing, 2010-01, Vol.32 (1), p.150-170

2010

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A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

Journal of computational physics, 2006-11, Vol.219 (1), p.144-162

2006

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A METHOD TO CALCULATE NUMERICAL ERRORS USING ADJOINT ERROR ESTIMATION FOR LINEAR ADVECTION

SIAM journal on numerical analysis, 2013-01, Vol.51 (2), p.894-926

2013

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Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media

SIAM journal on numerical analysis, 2000, Vol.37 (3), p.701-724

2000

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A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations

SIAM journal on numerical analysis, 1998-04, Vol.35 (2), p.435-452

1998

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On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods

SIAM journal on numerical analysis, 2008-01, Vol.46 (4), p.1892-1911

2008

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

ACM transactions on mathematical software, 2022-09, Vol.48 (3), p.1-24

2022

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Parallel distributed computing using Python

Advances in water resources, 2011-09, Vol.34 (9), p.1124-1139

2011

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Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer

SIAM journal on scientific computing, 2002, Vol.23 (2), p.499-516

2002

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Proof of concept of regional scale hydrologic simulations at hydrologic resolution utilizing massively parallel computer resources

Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models

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

Removing Numerical Pathologies in a Turbulence Parameterization Through Convergence Testing

Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: The Impacts of Closure Assumption and Process Coupling

An Objective and Efficient Method for Assessing the Impact of Reduced‐Precision Calculations On Solution Correctness

Implicit Multirate GARK Methods

Simulating coupled surface–subsurface flows with ParFlow v3.5.0: capabilities, applications, and ongoing development of an open-source, massively parallel, integrated hydrologic model

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

SUNDIALS : Suite of nonlinear and differential/algebraic equation solvers

Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: Using Mathematical Rigor to Avoid Nonphysical Behavior in a Parameterization

Newton–Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems

Quantification of errors for operator-split advection–diffusion calculations

Performance analysis of fully explicit and fully implicit solvers within a spectral element shallow-water atmosphere model

Parallel-in-Time Solution of Power Systems with Unscheduled Events

Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE

Operator-Based Preconditioning of Stiff Hyperbolic Systems

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

A METHOD TO CALCULATE NUMERICAL ERRORS USING ADJOINT ERROR ESTIMATION FOR LINEAR ADVECTION

Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media

A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods

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

Parallel distributed computing using Python

Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer

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