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GrADE: AI Solver for Nonlinear PDEs by Hari Madhavan Krishna Kumar is a document available to read on EtoBox.

This document proposes a new framework called Graph Attention Differential Equation (GrADE) for solving time-dependent nonlinear partial differential equations (PDEs). GrADE couples graph neural networks, neural ordinary differential equations, and attention mechanisms. It uses a graph neural network to model the spatial domain by handling unstructured data on irregular domains. A neural ODE models the temporal domain. The attention mechanism assigns more weight to important inputs/features to improve perfo

Author
Hari Madhavan Krishna Kumar
Language
EN