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Nathaniel Trask
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Year
Thermodynamically consistent physics-informed neural networks for hyperbolic systems
RG Patel, I Manickam, NA Trask, MA Wood, M Lee, I Tomas, EC Cyr
Journal of Computational Physics 449, 110754, 2022
2072022
Intercomparison of 3D pore-scale flow and solute transport simulation methods
X Yang, Y Mehmani, WA Perkins, A Pasquali, M Schönherr, K Kim, ...
Advances in water resources 95, 176-189, 2016
1892016
A physics-informed operator regression framework for extracting data-driven continuum models
RG Patel, NA Trask, MA Wood, EC Cyr
Computer Methods in Applied Mechanics and Engineering 373, 113500, 2021
1502021
Smoothed particle hydrodynamics and its applications for multiphase flow and reactive transport in porous media
AM Tartakovsky, N Trask, K Pan, B Jones, W Pan, JR Williams
Computational Geosciences 20 (4), 807-834, 2016
1432016
Multidimensional modeling of condensing two-phase ejector flow
M Colarossi, N Trask, DP Schmidt, MJ Bergander
International journal of refrigeration 35 (2), 290-299, 2012
1312012
Robust training and initialization of deep neural networks: An adaptive basis viewpoint
EC Cyr, MA Gulian, RG Patel, M Perego, NA Trask
Mathematical and Scientific Machine Learning, 512-536, 2020
1152020
Data-driven learning of nonlocal physics from high-fidelity synthetic data
H You, Y Yu, N Trask, M Gulian, M D’Elia
Computer Methods in Applied Mechanics and Engineering 374, 113553, 2021
1042021
An asymptotically compatible meshfree quadrature rule for non-local problems with applications to peridynamics
N Trask, H You, Y Yu, M Parks
arxiv 1801.04488: preprint submitted to CMAME, 2018
992018
Diesel spray CFD simulations based on the Σ-Υ Eulerian atomization model
JM Garcia-Oliver, JM Pastor, A Pandal, N Trask, E Baldwin, DP Schmidt
Atomization and Sprays 23 (1), 2013
922013
Machine learning structure preserving brackets for forecasting irreversible processes
K Lee, N Trask, P Stinis
Advances in Neural Information Processing Systems 34, 5696-5707, 2021
692021
Scalable algorithms for physics-informed neural and graph networks
K Shukla, M Xu, N Trask, GE Karniadakis
Data-Centric Engineering 3, e24, 2022
672022
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach
BJ Gross, N Trask, P Kuberry, PJ Atzberger
Journal of Computational Physics 409, 109340, 2020
672020
A high-order staggered meshless method for elliptic problems
N Trask, M Perego, P Bochev
SIAM Journal on Scientific Computing 39 (2), A479-A502, 2017
622017
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows
N Trask, M Maxey, K Kim, M Perego, ML Parks, K Yang, J Xu
Computer Methods in Applied Mechanics and Engineering 289, 155-178, 2015
602015
GMLS-Nets: A framework for learning from unstructured data
N Trask, RG Patel, BJ Gross, PJ Atzberger
arXiv preprint arXiv:1909.05371, 2019
592019
Partition of unity networks: deep hp-approximation
K Lee, NA Trask, RG Patel, MA Gulian, EC Cyr
arXiv preprint arXiv:2101.11256, 2021
582021
Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs
N Trask, A Huang, X Hu
Journal of Computational Physics 456, 110969, 2022
502022
Compressible modeling of the internal two-phase flow in a gas-centered swirl coaxial fuel injector
N Trask, DP Schmidt, M Lightfoot, S Danczyk
Journal of Propulsion and Power 28 (4), 685-693, 2012
482012
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
H You, XY Lu, N Task, Y Yu
ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 1373-1413, 2020
452020
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion
Y Leng, X Tian, N Trask, JT Foster
SIAM Journal on Numerical Analysis 59 (1), 88-118, 2021
432021
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Articles 1–20