July 16, 2019 article Open access Learning data-driven discretizations for partial differential equations Proceedings of the National Academy of Sciences DOI: 10.1073/pnas.1814058116 Full text (OA) OpenAlex Authors 0 Author list not loaded yet. Cited by 12 stored of 560 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 Reducing spatial discretization error on coarse CFD simulations using an openFOAM-embedded deep learning framework 2024 Engineering With Computers article Physics and Astronomy Model Reduction and Neural Networks Open access 5 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 Machine Learning of Implicit Combinatorial Rules in Mechanical Metamaterials 2022 Physical Review Letters article Materials Science Machine Learning in Materials Science Open access 37 citations Personalized Algorithm Generation: A Case Study in Learning ODE Integrators 2022 SIAM Journal on Scientific Computing article Mathematics Numerical methods for differential equations Open access 13 citations 12 results References 0