Abstract: We use moment-SOS (Sum Of Squares) relaxations to address the optimal control problem of the 1D heat equation perturbed with a nonlinear term. We extend the current framework of moment-based ...

Abstract: This paper introduces Physics-Informed Neural Networks (PINNs) to model heat distribution in a two-dimensional domain governed by the heat equation. Unlike traditional numerical solvers, ...

and more. Pseudospectral methods are best suited to simple geometries, and in this short course we'll only consider periodic Cartesian domains. The benefit of this is that we can get our hands on ...

SPARC (Simulation Platform for Advanced Rough-Cut Control) is a Python package that implements a simplified stochastic simulation of a 1D Wire Electrical Discharge Machining (Wire EDM) process, ...

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