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
38 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
35 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
18 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 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
8 2024 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 Deep Fourier Residual method for solving time-harmonic Maxwell's equations JM Taylor, M Bastidas, D Pardo, I Muga
Journal of Computational Physics 523, 113623, 2025
6 2025 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
6 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 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
4 2023 An analysis of equilibria in dense nematic liquid crystals JM Taylor
SIAM Journal on Mathematical Analysis 50 (2), 1918-1957, 2018
4 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
3 2021 Optimizing variational physics-informed neural networks using least squares C Uriarte, M Bastidas, D Pardo, JM Taylor, S Rojas
Computers & Mathematics with Applications 185, 76-93, 2025
2 2025 Regularity-conforming neural networks (ReCoNNs) for solving partial differential equations JM Taylor, D Pardo, J Muñoz-Matute
Journal of Computational Physics, 113954, 2025
2 2025 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 A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs S Baharlouei, JM Taylor, C Uriarte, D Pardo
Computer Methods in Applied Mechanics and Engineering 437, 117757, 2025
1 2025 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 
Peter Palffy-MuhorayProfessor, Chemical Physics, Liquid Crystal Institute, Kent State UniversityAdresse e-mail validée de kent.edu
