Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale

Authors: Mayr, Matthias, Heinlein, Alexander, Glusa, Christian, Rajamanickam, Siva, Arnst, Maarten, Bartlett, Roscoe, Berger-Vergiat, Luc, Boman, Erik, Devine, Karen, Harper, Graham, Heroux, Michael, Hoemmen, Mark, Hu, Jonathan, Kelley, Brian, Kim, Kyungjoo, Kouri, Drew P., Kuberry, Paul, Liegeois, Kim, Ober, Curtis C., Pawlowski, Roger, Pearson, Carl, Perego, Mauro, Phipps, Eric, Ridzal, Denis, Roberts, Nathan V., Siefert, Christopher, Thornquist, Heidi, Tomasetti, Romin, Trott, Christian R., Tuminaro, Raymond S., Willenbring, James M., Wolf, Michael M., Yamazaki, Ichitaro

Subject Terms: Computer Science - Mathematical Software, Mathematics - Numerical Analysis, 65-04, 65Y05, G.4, G.1.3

Access URL: http://arxiv.org/abs/2503.08126

Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients

Authors: Adak, Dibyendu, Truong, Duc P., Vuchkov, Radoslav, De, Saibal, DeSantis, Derek, Roberts, Nathan V., Rasmussen, Kim Ø., Alexandrov, Boian S.

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2411.04026

A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics

Authors: Glines, Forrest W., Beckwith, Kristian R. C., Braun, Joshua R., Cyr, Eric C., Ober, Curtis C., Bettencourt, Matthew, Cartwright, Keith L., Conde, Sidafa, Miller, Sean T., Roberds, Nicholas, Roberts, Nathan V., Swan, Matthew S., Pawlowski, Roger

Subject Terms: Astrophysics - Instrumentation and Methods for Astrophysics

Access URL: http://arxiv.org/abs/2205.00095

An implicit-in-time DPG formulation of the 1D1V Vlasov-Poisson equations

Authors: Roberts, Nathan V., Miller, Sean T., Bond, Stephen D., Cyr, Eric C.

Source: In Computers and Mathematics with Applications 15 January 2024 154:103-119

Combining DPG in space with DPG time-marching scheme for the transient advection–reaction equation

Authors: Muñoz-Matute, Judit, Demkowicz, Leszek, Roberts, Nathan V.

Source: In Computer Methods in Applied Mechanics and Engineering 1 December 2022 402

Neural-network based collision operators for the Boltzmann equation

Authors: Miller, Sean T., Roberts, Nathan V., Bond, Stephen D., Cyr, Eric C.

Source: In Journal of Computational Physics 1 December 2022 470

An ultraweak DPG method for viscoelastic fluids

Authors: Keith, Brendan, Knechtges, Philipp, Roberts, Nathan V., Elgeti, Stefanie, Behr, Marek, Demkowicz, Leszek

Source: J. Non-Newton. Fluid Mech. 247:107-122 (2017)

Subject Terms: Mathematics - Numerical Analysis, Physics - Fluid Dynamics, 76A10, 76M10, 65N30

Access URL: http://arxiv.org/abs/1612.03124

A Geometric Multigrid Preconditioning Strategy for DPG System Matrices

Authors: Roberts, Nathan V., Chan, Jesse

Subject Terms: Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science, Computer Science - Numerical Analysis

Access URL: http://arxiv.org/abs/1608.02567

Time-stepping DPG formulations for the heat equation

Authors: Roberts, Nathan V., Henneking, Stefan

Source: In Computers and Mathematics with Applications 1 August 2021 95:242-255

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Verifiable Aspect Composition in UML Models

Authors: Song, Eunjee, Roberts, Nathan V.

Source: 2008 Second International Conference on Secure System Integration and Reliability Improvement Secure System Integration and Reliability Improvement, 2008. SSIRI '08. Second International Conference on. :201-202 Jul, 2008

Relation: 2008 Second IEEE International Conference on Secure System Integration and Reliability Improvement (SSIRI)

A geometric multigrid preconditioning strategy for DPG system matrices

Authors: Roberts, Nathan V., Chan, Jesse

Source: In Computers and Mathematics with Applications 15 October 2017 74(8):2018-2043

A discontinuous Petrov–Galerkin methodology for adaptive solutions to the incompressible Navier–Stokes equations

Authors: Roberts, Nathan V., Demkowicz, Leszek, Moser, Robert

Source: In Journal of Computational Physics 15 November 2015 301:456-483

Camellia: A software framework for discontinuous Petrov–Galerkin methods

Authors: Roberts, Nathan V.

Source: In Computers and Mathematics with Applications December 2014 68(11):1581-1604

The DPG method for the Stokes problem

Authors: Roberts, Nathan V., Bui-Thanh, Tan, Demkowicz, Leszek

Source: In Computers and Mathematics with Applications March 2014 67(4):966-995

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Model interfaces for two-way obliviousness.

Authors: Roberts, Nathan V., Song, Eunjee, Grabow, Paul C.

Source: Proceedings of the 2009 ACM Symposium: Applied Computing; 3/ 8/2009, p488-495, 8p