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
34 2022 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
28 2023 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
22 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
17 2017 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 JM Taylor
Mathematical Models and Methods in Applied Sciences 28 (04), 615-657, 2018
7 2018 Adaptive Deep Fourier Residual method via overlapping domain decomposition JM Taylor, M Bastidas, VM Calo, D Pardo
Computer Methods in Applied Mechanics and Engineering 427, 116997, 2024
5 2024 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
5 2023 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 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
5 2020 An analysis of equilibria in dense nematic liquid crystals JM Taylor
SIAM Journal on Mathematical Analysis 50 (2), 1918-1957, 2018
4 2018 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
2 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
2 2023 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 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 A confined rod: mean field theory for hard rod-like particles JM Taylor, TG Fai, EG Virga, X Zheng, P Palffy-Muhoray
Liquid Crystals, 1-12, 2024
2024 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
2023 
Peter Palffy-MuhorayProfessor, Chemical Physics, Liquid Crystal Institute, Kent State UniversityAdresse e-mail validée de kent.edu
