{"total":24,"rows":[{"id":"2111.03794","title":"Physics-Informed Neural Operator for Learning Partial Differential Equations","created":"2021-11-06","cited_by_count":527,"area":null},{"id":"2211.08064","title":"Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications","created":"2022-11-15","cited_by_count":92,"area":null},{"id":"2201.07395","title":"Overview frequency principle/spectral bias in deep learning","created":"2022-01-19","cited_by_count":69,"area":null},{"id":"2404.14688","title":"FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model","created":"2024-04-23","cited_by_count":19,"area":null},{"id":"2308.04073","title":"Learning Specialized Activation Functions for Physics-informed Neural Networks","created":"2023-08-08","cited_by_count":14,"area":null},{"id":"2204.13247","title":"BI-GreenNet: Learning Green's functions by boundary integral network","created":"2022-04-28","cited_by_count":13,"area":null},{"id":"2401.02398","title":"Generating synthetic data for neural operators","created":"2024-01-04","cited_by_count":11,"area":null},{"id":"2203.17128","title":"Neural Q-learning for solving PDEs","created":"2022-03-31","cited_by_count":8,"area":null},{"id":"2205.14421","title":"Approximation of Functionals by Neural Network without Curse of Dimensionality","created":"2022-05-28","cited_by_count":8,"area":null},{"id":"2306.15891","title":"Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets","created":"2023-06-28","cited_by_count":3,"area":null},{"id":"2407.03593","title":"Green Multigrid Network","created":"2024-07-04","cited_by_count":3,"area":null},{"id":"2501.02791","title":"Orthogonal greedy algorithm for linear operator learning with shallow neural network","created":"2025-01-06","cited_by_count":3,"area":null},{"id":"2509.11580","title":"Learning Singularity-Encoded Green's Functions with Application to Iterative Methods","created":"2025-09-15","cited_by_count":3,"area":null},{"id":"2212.05523","title":"A model-data asymptotic-preserving neural network method based on micro-macro decomposition for gray radiative transfer equations","created":"2022-12-11","cited_by_count":2,"area":null},{"id":"2211.11981","title":"Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems","created":"2022-11-22","cited_by_count":1,"area":null},{"id":"2304.00909","title":"Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion","created":"2023-04-03","cited_by_count":1,"area":null},{"id":"2308.00350","title":"Learning Green's Function Efficiently Using Low-Rank Approximations","created":"2023-08-01","cited_by_count":1,"area":null},{"id":"2412.04409","title":"Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators","created":"2024-12-05","cited_by_count":1,"area":null},{"id":"2412.04596","title":"Learning Nonlinear Finite Element Solution Operators using Multilayer Perceptrons and Energy Minimization","created":"2024-12-05","cited_by_count":1,"area":null},{"id":"2309.10002","title":"Energy stable neural network for gradient flow equations","created":"2023-09-17","cited_by_count":0,"area":null},{"id":"2403.01820","title":"Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations","created":"2024-03-04","cited_by_count":0,"area":null},{"id":"2404.15242","title":"A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains","created":"2024-04-23","cited_by_count":0,"area":null},{"id":"2408.13619","title":"STAResNet: a Network in Spacetime Algebra to solve Maxwell's PDEs","created":"2024-08-24","cited_by_count":0,"area":null},{"id":"2610.01697","title":"Learning PDE Dynamics between Submanifolds Using Green's Observation Operators","created":"2026-10-01","cited_by_count":0,"area":null}],"next_cursor":null}