Burgers' equation

Papers using Burgers' equation (26)

Learning Hidden Physics and System Parameters with Deep Operator Networks2024 · 7 citesPartitioned Hybrid Quantum Fourier Neural Operators for Scientific Quantum Machine Learning2025 · 3 citesDeep Neural Networks as Discrete Dynamical Systems: Implications for Physics-Informed Learning2026 · 1 citesGradient Enhanced Self-Training Physics-Informed Neural Network (gST-PINN) for Solving Nonlinear Partial Differential Equations2025 · 1 citesHigh precision PINNs in unbounded domains: application to singularity formulation in PDEs2025 · 1 citesLearning embeddings of non-linear PDEs: the Burgers' equation2026Physics-Informed Laplace Neural Operator for Solving Partial Differential Equations2026Size is Not the Solution: Deformable Convolutions for Effective Physics Aware Deep Learning2026Operator Learning at Machine Precision2025PO-CKAN:Physics Informed Deep Operator Kolmogorov Arnold Networks with Chunk Rational Structure2025Learning to Solve Optimization Problems Constrained with Partial Differential Equations2025Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems2025Mesh-free sparse identification of nonlinear dynamics2025Quantum Recurrent Neural Networks with Encoder-Decoder for Time-Dependent Partial Differential Equations2025Wavelet Diffusion Neural Operator2024From Mesh to Neural Nets: A Multi-Method Evaluation of Physics-Informed Neural Networks and Galerkin Finite Element Method for Solving Nonlinear Convection-Reaction-Diffusion Equations2024Regime-Aware Time Weighting for Physics-Informed Neural Networks2024Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data2024 · 2 citesBinary structured physics-informed neural networks for solving equations with rapidly changing solutions2024 · 11 citesInvestigating Guiding Information for Adaptive Collocation Point Sampling in PINNs2024 · 4 citesOptimal time sampling in physics-informed neural networks2024 · 3 citesDensely Multiplied Physics Informed Neural Networks2024 · 1 citesDiffGrad for Physics-Informed Neural Networks2024 · 1 citesFB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition2024 · 1 citesTENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural Nets Toward Machine Precision2024KAN/MultKAN with Physics-Informed Spline fitting (KAN-PISF) for ordinary/partial differential equation discovery of nonlinear dynamic systems2024