October 24, 2019 article Open access Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks Journal of Computational Physics DOI: 10.1016/j.jcp.2019.109056 Full text (OA) OpenAlex Authors 0 Author list not loaded yet. Cited by 12 stored of 347 Search Sort Most cited Newest Oldest Patent citations Title Any typearticle review book-chapter conference-paper preprint dissertation book dataset other Any fieldAgricultural and Biological Sciences Arts and Humanities Biochemistry, Genetics and Molecular Biology Business, Management and Accounting Chemical Engineering Chemistry Computer Science Decision Sciences Dentistry Earth and Planetary Sciences Economics, Econometrics and Finance Energy Engineering Environmental Science Health Professions Immunology and Microbiology Materials Science Mathematics Medicine Neuroscience Nursing Pharmacology, Toxicology and Pharmaceutics Physics and Astronomy Psychology Social Sciences Veterinary Open access Tackling multiphysics problems via finite element guided physics-informed operator learning 2026 Results in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access 2 citations Digitalizing metallic materials from image segmentation to multiscale solutions via physics informed operator learning 2025 npj Computational Materials article Materials Science Machine Learning in Materials Science Open access 7 citations A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains 2024 Engineering With Computers article Physics and Astronomy Model Reduction and Neural Networks Open access 39 citations Perspectives of physics-based machine learning strategies for geoscientific applications governed by partial differential equations 2023 Geoscientific model development article Physics and Astronomy Model Reduction and Neural Networks Open access 39 citations Reply on RC2 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Comment on gmd-2022-309 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Reply on CEC1 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Reply on AC2 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Reply on RC1 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Comment on gmd-2022-309 2023 peer-review Physics and Astronomy Model Reduction and Neural Networks Open access 0 citations Perspectives of Physics-Based Machine Learning for Geoscientific Applications Governed by Partial Differential Equations 2023 preprint Physics and Astronomy Model Reduction and Neural Networks Open access 5 citations Spline-PINN: Approaching PDEs without Data Using Fast, Physics-Informed Hermite-Spline CNNs 2022 Proceedings of the AAAI Conference on Artificial Intelligence conference-paper Physics and Astronomy Model Reduction and Neural Networks Open access cited by 1 patent 60 citations 12 results References 0