Kuramoto-Sivashinsky

Data for the one-dimensional Kuramoto Sivashinsky equation. This data was generated using the method of lines, with the spatial derivatives computed using the pseudo-spectral method. We set T = 100 for the training (and T = 200 for validation and testing) data, with ∆t = 0.2. Further, we set X = [0, 64], with ∆x = 0.25

Papers using Kuramoto-Sivashinsky (4)

Optimizing the Optimizer for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks2025 · 29 citesCommon Task Framework For a Critical Evaluation of Scientific Machine Learning Algorithms2025 · 7 citesAn Inverse Scattering Inspired Fourier Neural Operator for Time-Dependent PDE Learning2025A Bayesian Framework for learning governing Partial Differential Equation from Data2023 · 17 cites