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FAU Chair for Dynamics, Control and Numerics - Alexander von Humboldt Professorship's Projects

admm-pinns icon admm-pinns

Python codes for the paper "The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach"

edmd-sos icon edmd-sos

Data-driven construction of auxuliary functions for dynamical system analysis

fl-fedavg icon fl-fedavg

A basic PyTorch implementation of the Federated Learning FedAvg algorithm.

hamilton_jacobi icon hamilton_jacobi

Our goal here is to study the inverse design problem associated to Hamilton Jacobi Equations (HJ). More precisely, for a given target function and a time horizon T>0, we want to construct all the initial conditions such that the viscosity solution of (HJ) coincides with a target function at time T.

numerical_graphs icon numerical_graphs

Finite difference scheme for convection-diffusion initial-boundary value problem on metric trees

pinns_heat icon pinns_heat

In this repository we give some basic intuitions of PINNS and how to implement it for heat equation.

pinns_wave_equation icon pinns_wave_equation

An implementation of Physics-Informed Neural Networks (PINNs) to solve various forward and inverse problems for the 1 dimensional wave equation.

pressure_function icon pressure_function

This program finds a numeric solution for the stationary states on arbitrary finite gas networks. This code is a part of the bachelor thesis of Veronika Riedl.

pycontrols icon pycontrols

The pyControls package provides a framework for simulations of gas networks with arbirary geometry and edge dynamics. This package provides a high-order solver for the isoeuler equations and a reader for the GasLib scenarios. Furthermore, the network is easily plotted either in 2D or 3D manner.

rl-cart icon rl-cart

Control of a cart via reinforcement learning

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