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)

Positive filtered P_n method for linear transport equations and the associated Optimization Algorithm. - Ming Tse Paul Laiu (2016)

A constraint-reduced MPC algorithm for convex quadratic programming, with a modified active set identification scheme. - M. Paul Laiu; André L. Tits (Comput. Optim. Appl., 2019)

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

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

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

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)

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)

Exascale models of stellar explosions: Quintessential multi-physics simulation. - James Austin Harris; Ran Chu; Sean M. Couch; Anshu Dubey; Eirik Endeve; Antigoni Georgiadou; Rajeev Jain; Daniel Kasen; M. Paul Laiu; O. E. Bronson Messer; Jared O'Neal; Michael A. Sandoval; et al. (Int. J. High Perform. Comput. Appl., 2022)

An infeasible-start framework for convex quadratic optimization, with application to constraint-reduced interior-point and other methods. - M. Paul Laiu; André L. Tits (Math. Program., 2022)

Privacy Preserving Federated Learning for Advanced Scientific Ecosystems. - Rick Archibald; Addi Malviya-Thakur; Marshall T. McDonnell; Gregory Cage; Cody Stiner; Lance Drane; M. Paul Laiu; Michael J. Brim; Mathieu Doucet; William T. Heller; Ryan Coffee (IEEE Big Data, 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)

Federated Dynamical Low-Rank Training with Global Loss Convergence Guarantees. - Steffen Schotthöfer; M. Paul Laiu (CoRR, 2024)

Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems. - Xue Feng; M. Paul Laiu; Thomas Strohmer (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)

MATEY: multiscale adaptive foundation models for spatiotemporal physical systems. - Pei Zhang; M. Paul Laiu; Matthew Norman; Doug Stefanski; John Gounley (CoRR, 2024)

Convergence of Weak-SINDy Surrogate Models. - Benjamin P. Russo; M. Paul Laiu (SIAM J. Appl. Dyn. Syst., 2024)

Anderson acceleration with approximate calculations: Applications to scientific computing. - Massimiliano Lupo Pasini; M. Paul Laiu (Numer. Linear Algebra Appl., 2024)

FedOSAA: Improving Federated Learning with One-Step Anderson Acceleration. - Xue Feng; M. Paul Laiu; Thomas Strohmer (CPAL, 2025)

DG-IMEX method for a two-moment model for radiation transport in the O(v/c) limit. - M. Paul Laiu; Eirik Endeve; James Austin Harris; Zachary Elledge; Anthony Mezzacappa (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)

Streaming Compression of Scientific Data via Weak-SINDy. - Benjamin P. Russo; M. Paul Laiu; Richard Archibald (SIAM J. Sci. Comput., 2025)

Realizability-Preserving Discontinuous Galerkin Method for Spectral Two-Moment Radiation Transport in Special Relativity. - Joseph Hunter; Eirik Endeve; M. Paul Laiu; Yulong Xing (CoRR, 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)

Pixel-Resolved Long-Context Learning for Turbulence at Exascale: Resolving Small-scale Eddies Toward the Viscous Limit. - Junqi Yin; Mijanur Palash; M. Paul Laiu; Muralikrishnan Gopalakrishnan Meena; John Gounley; Stephen M. de Bruyn Kops; Feiyi Wang; Ramanan Sankaran; Pei Zhang (CoRR, 2025)