On quadrature rules for solving partial differential equations using neural networks JA Rivera, JM Taylor, ÁJ Omella, D Pardo
Computer Methods in Applied Mechanics and Engineering 393, 114710, 2022
25 2022 Convex integration arising in the modelling of shape-memory alloys: some remarks on rigidity, flexibility and some numerical implementations A Rüland, JM Taylor, C Zillinger
Journal of Nonlinear Science 29, 2137-2184, 2019
20 2019 Density functional theory for dense nematic liquid crystals with steric interactions ES Nascimento, P Palffy-Muhoray, JM Taylor, EG Virga, X Zheng
Physical Review E 96 (2), 022704, 2017
18 2017 A deep Fourier residual method for solving PDEs using neural networks JM Taylor, D Pardo, I Muga
Computer Methods in Applied Mechanics and Engineering 405, 115850, 2023
17 2023 Maximum Entropy Methods as the Bridge Between Microscopic and Macroscopic Theory JM Taylor
Journal of Statistical Physics 164 (6), 1429–1459, 2016
10 2016 Oseen–Frank-type theories of ordered media as the -limit of a non-local mean-field free energy JM Taylor
Mathematical Models and Methods in Applied Sciences 28 (04), 615-657, 2018
7 2018 Leaky cell model of hard spheres TG Fai, JM Taylor, EG Virga, X Zheng, P Palffy-Muhoray
The Journal of chemical physics 154 (10), 2021
5 2021 Deep Fourier Residual method for solving time-harmonic Maxwell's equations JM Taylor, M Bastidas, D Pardo, I Muga
arXiv preprint arXiv:2305.09578, 2023
3 2023 Γ-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen–Frank description of cholesterics JM Taylor
Nonlinearity 33 (6), 3062, 2020
3 2020 An analysis of equilibria in dense nematic liquid crystals JM Taylor
SIAM Journal on Mathematical Analysis 50 (2), 1918-1957, 2018
3 2018 Cavity volume and free energy in many-body systems JM Taylor, TG Fai, EG Virga, X Zheng, P Palffy-Muhoray
Journal of nonlinear science 31 (5), 87, 2021
2 2021 On a probabilistic model for martensitic avalanches incorporating mechanical compatibility F Della Porta, A Rüland, JM Taylor, C Zillinger
Nonlinearity 34 (7), 4844, 2021
2 2021 Adaptive Deep Fourier Residual method via overlapping domain decomposition JM Taylor, M Bastidas, VM Calo, D Pardo
arXiv preprint arXiv:2401.04663, 2024
1 2024 Interaction energies in paranematic colloids D Golovaty, J Taylor, R Venkatraman, A Zarnescu
arXiv preprint arXiv:2308.06331, 2023
1 2023 Memory-Based Monte Carlo Integration for Solving Partial Differential Equations Using Neural Networks C Uriarte, JM Taylor, D Pardo, OA Rodríguez, P Vega
International Conference on Computational Science, 509-516, 2023
1 2023 Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit G Canevari, JM Taylor
Nonlinear Analysis 215, 112641, 2022
1 2022 Multimodal variational autoencoder for inverse problems in geophysics: application to a 1-D magnetotelluric problem O Rodriguez, JM Taylor, D Pardo
Geophysical Journal International 235 (3), 2598-2613, 2023
2023 A confined rod: mean field theory for hard rod-like particles JM Taylor, TG Fai, EG Virga, X Zheng, P Palffy-Muhoray
arXiv preprint arXiv:2312.00239, 2023
2023 Machine learning discovery of optimal quadrature rules for isogeometric analysis T Teijeiro, JM Taylor, A Hashemian, D Pardo
Computer Methods in Applied Mechanics and Engineering 416, 116310, 2023
2023 Effective surface energies in nematic liquid crystals as homogenized rugosity effects RD Ceuca, JM Taylor, A Zarnescu
Communications in Contemporary Mathematics 25 (06), 2250020, 2023
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