Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities. - Cory D. Hauck; C. David Levermore; André L. Tits (SIAM J. Control. Optim., 2008)

Temporal Regularization of the PN Equations. - Cory D. Hauck; Robert B. Lowrie (Multiscale Model. Simul., 2009)

Robust and accurate filtered spherical harmonics expansions for radiative transfer. - Ryan G. McClarren; Cory D. Hauck (J. Comput. Phys., 2010)

Positive PN Closures. - Cory D. Hauck; Ryan G. McClarren (SIAM J. Sci. Comput., 2010)

A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer. - Edgar Olbrant; Cory D. Hauck; Martin Frank (J. Comput. Phys., 2012)

High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem. - Graham W. Alldredge; Cory D. Hauck; André L. Tits (SIAM J. Sci. Comput., 2012)

Radiation transport modeling using extended quadrature method of moments. - V. Vikas; Cory D. Hauck; Zhi Jian Wang; Rodney O. Fox (J. Comput. Phys., 2013)

A Collision-Based Hybrid Method for Time-Dependent, Linear, Kinetic Transport Equations. - Cory D. Hauck; Ryan G. McClarren (Multiscale Model. Simul., 2013)

Adaptive change of basis in entropy-based moment closures for linear kinetic equations. - Graham W. Alldredge; Cory D. Hauck; Dianne P. O'Leary; André L. Tits (J. Comput. Phys., 2014)

An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation. - Luis Chacón; Diego del-Castillo-Negrete; Cory D. Hauck (J. Comput. Phys., 2014)

Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates. - Eirik Endeve; Cory D. Hauck; Yulong Xing; Anthony Mezzacappa (J. Comput. Phys., 2015)

Optimization and large scale computation of an entropy-based moment closure. - C. Kristopher Garrett; Cory D. Hauck; Judith C. Hill (J. Comput. Phys., 2015)

On the eigenstructure of spherical harmonic equations for radiative transport. - C. Kristopher Garrett; Cory D. Hauck (Comput. Math. Appl., 2016)

Implicit filtered PN for high-energy density thermal radiation transport using discontinuous Galerkin finite elements. - Vincent M. Laboure; Ryan G. McClarren; Cory D. Hauck (J. Comput. Phys., 2016)

Positive Filtered PN Moment Closures for Linear Kinetic Equations. - M. Paul Laiu; Cory D. Hauck; Ryan G. McClarren; Dianne P. O'Leary; André L. Tits (SIAM J. Numer. Anal., 2016)

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. - Michael M. Crockatt; Andrew J. Christlieb; C. Kristopher Garrett; Cory D. Hauck (J. Comput. Phys., 2017)

A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels. - Irene M. Gamba; Jeffrey R. Haack; Cory D. Hauck; Jingwei Hu (SIAM J. Sci. Comput., 2017)

Scientific data interpolation with low dimensional manifold model. - Wei Zhu 007; Bao Wang 001; Richard C. Barnard; Cory D. Hauck; Frank Jenko; Stanley J. Osher (J. Comput. Phys., 2018)

A Fast Solver for Implicit Integration of the Vlasov-Poisson System in the Eulerian Framework. - C. Kristopher Garrett; Cory D. Hauck (SIAM J. Sci. Comput., 2018)

A mathematical model of asynchronous data flow in parallel computers. - Richard C. Barnard; Kai Huang; Cory D. Hauck (CoRR, 2019)

Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering. - Martin Frank; Jonas Kusch; Thomas Camminady; Cory D. Hauck (CoRR, 2019)

Realizability-preserving DG-IMEX method for the two-moment model of fermion transport. - Ran Chu; Eirik Endeve; Cory D. Hauck; Anthony Mezzacappa (J. Comput. Phys., 2019)

Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. - Michael M. Crockatt; Andrew J. Christlieb; C. Kristopher Garrett; Cory D. Hauck (J. Comput. Phys., 2019)

A Class of Low Dissipative Schemes for Solving Kinetic Equations. - Giacomo Dimarco; Cory D. Hauck; Raphaël Loubère (J. Sci. Comput., 2019)

Filtered Discrete Ordinates Equations for Radiative Transport. - Cory D. Hauck; Vincent Heningburg (J. Sci. Comput., 2019)

Positivity Limiters for Filtered Spectral Approximations of Linear Kinetic Transport Equations. - M. Paul Laiu; Cory D. Hauck (J. Sci. Comput., 2019)

Diagnosing Forward Operator Error Using Optimal Transport. - Michael A. Puthawala; Cory D. Hauck; Stanley J. Osher (J. Sci. Comput., 2019)

Analysis of the Zero Relaxation Limit of Hyperbolic Balance Laws with Random Initial Data. - James M. Scott; M. Paul Laiu; Cory D. Hauck (SIAM/ASA J. Uncertain. Quantification, 2019)

Multiscale convergence properties for spectral approximations of a model kinetic equation. - Zheng Chen 005; Cory D. Hauck (Math. Comput., 2019)

A Regularized Entropy-Based Moment Method for Kinetic Equations. - Graham W. Alldredge; Martin Frank; Cory D. Hauck (SIAM J. Appl. Math., 2019)

A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations. - M. Paul Laiu; Martin Frank; Cory D. Hauck (SIAM J. Sci. Comput., 2019)

Hybrid Solver for the Radiative Transport Equation Using Finite Volume and Discontinuous Galerkin. - Vincent Heningburg; Cory D. Hauck (CoRR, 2020)

Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering kernel. - Qiwei Sheng; Cory D. Hauck (CoRR, 2020)

Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. - Michael M. Crockatt; Andrew J. Christlieb; Cory D. Hauck (J. Comput. Phys., 2020)

A fast implicit solver for semiconductor models in one space dimension. - M. Paul Laiu; Zheng Chen 005; Cory D. Hauck (J. Comput. Phys., 2020)

Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport. - Zheng Sun 004; Cory D. Hauck (SIAM J. Sci. Comput., 2020)

Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations. - William A. Porteous; M. Paul Laiu; Cory D. Hauck (CoRR, 2021)

A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2021)

In situ compression artifact removal in scientific data using deep transfer learning and experience replay. - Sandeep Madireddy; Ji Hwan Park; Sunwoo Lee 001; Prasanna Balaprakash; Shinjae Yoo; Wei-keng Liao; Cory D. Hauck; M. Paul Laiu; Richard Archibald (Mach. Learn. Sci. Technol., 2021)

A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation. - Vincent Heningburg; Cory D. Hauck (Multiscale Model. Simul., 2021)

Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. - Qiwei Sheng; Cory D. Hauck (Math. Comput., 2021)

Qualitative properties of mathematical model for data flow. - Cory D. Hauck; Michael Herty; Giuseppe Visconti (Networks Heterog. Media, 2021)

Analysis of a New Implicit Solver for a Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Ming Tse P. Laiu (SIAM J. Sci. Comput., 2021)

Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (ICML, 2022)

Neural network-based, structure-preserving entropy closures for the Boltzmann moment system. - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2022)

Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Stefan Schnake (CoRR, 2022)

Data-driven surrogate modeling of hPIC ion energy-angle distributions for high-dimensional sensitivity analysis of plasma parameters' uncertainty. - Pablo Seleson; Mohammad Mustafa; Davide Curreli; Cory D. Hauck; Miroslav Stoyanov; David E. Bernholdt (Comput. Phys. Commun., 2022)

Conservative DG method for the micro-macro decomposition of the Vlasov-Poisson-Lenard-Bernstein model. - Eirik Endeve; Cory D. Hauck (J. Comput. Phys., 2022)

Implicit Graph Neural Networks: A Monotone Operator Viewpoint. - Justin M. Baker; Qingsong Wang; Cory D. Hauck; Bao Wang 001 (ICML, 2023)

Numerical analysis of a hybrid method for radiation transport. - Andrés Galindo-Olarte; Victor P. DeCaria; Cory D. Hauck (CoRR, 2023)

Modeling Information Flow with a Multi-Stage Queuing Mode. - Richard C. Barnard; Mohammad Daneshvar; Cory D. Hauck; Ilya Timofeyev (CoRR, 2023)

A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption. - Peimeng Yin; Eirik Endeve; Cory D. Hauck; Stefan R. Schnake (CoRR, 2023)

Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering. - Qiwei Sheng; Cory D. Hauck; Yulong Xing (CoRR, 2023)

Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. - Jeffrey R. Haack; Cory D. Hauck; Christian Klingenberg; Marlies Pirner; Sandra Warnecke (J. Comput. Phys., 2023)

A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations. - Cory D. Hauck; Stefan Schnake (SIAM J. Matrix Anal. Appl., 2023)

New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling. - Cory D. Hauck; Qiwei Sheng; Yulong Xing (CoRR, 2024)

Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system. - Steffen Schotthöfer; M. Paul Laiu; Martin Frank; Cory D. Hauck (CoRR, 2024)

On high-order/low-order and micro-macro methods for implicit time-stepping of the BGK model. - Cory D. Hauck; M. Paul Laiu; Stefan Schnake (CoRR, 2024)

Learning to Control the Smoothness of Graph Convolutional Network Features. - Shih-Hsin Wang; Justin M. Baker; Cory D. Hauck; Bao Wang 001 (CoRR, 2024)

A hybrid Monte Carlo, discontinuous Galerkin method for linear kinetic transport equations. - Johannes Krotz; Cory D. Hauck; Ryan G. McClarren (J. Comput. Phys., 2024)

Sparse-grid discontinuous Galerkin methods for the Vlasov-Poisson-Lenard-Bernstein model. - Stefan Schnake; Coleman Kendrick; Eirik Endeve; Miroslav Stoyanov; Steven E. Hahn; Cory D. Hauck; David L. Green; Phil Snyder; John Canik (J. Comput. Phys., 2024)

ASGarD: Adaptive Sparse Grid Discretization. - Steven E. Hahn; Miroslav Stoyanov; Stefan Schnake; Eirik Endeve; David L. Green; Mark R. Cianciosa; Eduardo F. D'Azevedo; Wael R. Elwasif; Coleman Kendrick; Hao Lau; M. Graham Lopez; Adam McDaniel; et al. (J. Open Source Softw., 2024)

An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Stefan R. Schnake (SIAM J. Numer. Anal., 2024)

A collision-based hybrid method for the BGK equation. - Minwoo Shin; Cory D. Hauck; Ryan G. McClarren (J. Comput. Phys., 2024)

Corrigendum to "Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods". - Michael M. Crockatt; Andrew J. Christlieb; Cory D. Hauck (J. Comput. Phys., 2025)

Structure-preserving neural networks for the regularized entropy-based closure of a linear, kinetic, radiative transport equation. - Steffen Schotthöfer; M. Paul Laiu; Martin Frank; Cory D. Hauck (J. Comput. Phys., 2025)

Asymptotic Relaxation of Moment Equations for a Multi-species, Homogeneous BGK Model. - Evan Habbershaw; Ryan S. Glasby; Jeffrey R. Haack; Cory D. Hauck; Steven M. Wise (SIAM J. Appl. Math., 2025)

Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. - Evan Habbershaw; Cory D. Hauck; Steven M. Wise (SIAM J. Numer. Anal., 2025)

Exploring the Capabilities of the Frontier Large Language Models for Nuclear Energy Research. - Ahmed Almeldein; Mohammed Alnaggar; Rick Archibald; Tom Beck; Arpan Biswas; Rike Bostelmann; Wes Brewer; Chris Bryan; Christopher Calle; Cihangir Celik; Rajni Chahal; Jong Youl Choi; et al. (CoRR, 2025)