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Kuramoto-Sivashinsky Equation
The Kuramoto-Sivashinsky equation is a model for spatiotemporal chaos. The Kuramoto-Sivashinsky equation is expressed as: yt = âyyx â yxx â yxxxx -
2D KS System with Spatial Inhomogeneities
The dataset used in the paper is a 2D KS system with spatial inhomogeneities. The system is simulated on a grid of size 256x256. -
2D KS System
The dataset used in the paper is a 2D KS system with periodic boundary conditions. The system is simulated on a grid of size 256x256. -
Sliding-Window Approach for PDEs
The dataset used in the paper is a sliding-window approach with an extent of â = 1 and a stride of s = 2. The dataset is a 256x256 grid with 512 nodes, and the state function is... -
Heat Equation, Burgers Equation, and Kuramoto-Sivashinsky Equation Datasets
The dataset used for training and testing the neural network for linearizing the heat equation, Burgers equation, and Kuramoto-Sivashinsky equation.