Verifiable Aspect Composition in UML Models. - Eunjee Song; Nathan V. Roberts (SSIRI, 2008)

Model interfaces for two-way obliviousness. - Nathan V. Roberts; Eunjee Song; Paul C. Grabow (SAC, 2009)

Camellia: A software framework for discontinuous Petrov-Galerkin methods. - Nathan V. Roberts (Comput. Math. Appl., 2014)

The DPG method for the Stokes problem. - Nathan V. Roberts; Tan Bui-Thanh; Leszek F. Demkowicz (Comput. Math. Appl., 2014)

A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations. - Nathan V. Roberts; Leszek F. Demkowicz; Robert D. Moser (J. Comput. Phys., 2015)

A geometric multigrid preconditioning strategy for DPG system matrices. - Nathan V. Roberts; Jesse Chan (Comput. Math. Appl., 2017)

Tetrahedral mesh adaptation for Lagrangian shock hydrodynamics. - Daniel Ibanez; E. Love; Thomas E. Voth; James R. Overfelt; Nathan V. Roberts; Glen Hansen (Comput. Math. Appl., 2019)

Camellia: A Rapid Development Framework for Finite Element Solvers. - Nathan V. Roberts (Comput. Methods Appl. Math., 2019)

Time-stepping DPG formulations for the heat equation. - Nathan V. Roberts; Stefan Henneking (Comput. Math. Appl., 2021)

Neural-network based collision operators for the Boltzmann equation. - Sean T. Miller; Nathan V. Roberts; Stephen D. Bond; Eric C. Cyr (J. Comput. Phys., 2022)

The DPG Method for the Convection-Reaction Problem, Revisited. - Leszek F. Demkowicz; Nathan V. Roberts; Judit Muñoz-Matute (Comput. Methods Appl. Math., 2023)

Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients. - Dibyendu Adak; Duc P. Truong; Radoslav G. Vuchkov; Saibal De; Derek DeSantis; Nathan V. Roberts; Kim Ø. Rasmussen; Boian S. Alexandrov (CoRR, 2024)

An implicit-in-time DPG formulation of the 1D1V Vlasov-Poisson equations. - Nathan V. Roberts; Sean T. Miller; Stephen D. Bond; Eric C. Cyr (Comput. Math. Appl., 2024)

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale. - Matthias Mayr; Alexander Heinlein; Christian A. Glusa; Siva Rajamanickam; Maarten Arnst; Roscoe A. Bartlett; Luc Berger-Vergiat; Erik G. Boman; Karen D. Devine; Graham Harper; Michael A. Heroux; Mark Hoemmen; et al. (CoRR, 2025)