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@DCN-FAU-AvH

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

README.md

Welcome to the DCN-FAU-AvH github

Also take a look at our website https://dcn.nat.fau.eu/.

Quick links

Tutorials

Training of neural ODEs using pyTorch

by Tobias Wöhrer


See also on our website: The interplay of control and deep learning

Code repositories

PINNs Introductory Code for the Heat Equation

by Ziqi Wang and Martin Hernández

See also on our website: PINNs Introductory Code for the Heat Equation
Reinforcement Learning for Control

by Theïlo Terrisse

See also on our website: Reinforcement learning as a new perspective into controlling physical systems
An Implementation of the FedAvg Algorithm

by Ziqi Wang

See also on our website: Federated Learning: Protect your data and privacy
RBM-MPC: Faster Model Predictive Control with Random Batch Methods

by Alexandra Borkowski and Daniël Veldman

See also on our website: Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation
Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs)

by Dania Sana and Yue Wang



Robust training of neural ODEs

by Tobias Wöhrer



Numerical computation of the pressure function

by Veronika Riedl


See also on our website: Derivation of the pressure function
Lloyd's algorithm for the computation of Voronoi diagrams

by Martin Hernández


See also on our website: Lloyd’s Algorithm
Model Predictive Control for Discretized Heat and Wave Equations

by Daniël Veldman



The Random Batch Method in Linear Quadratic Optimal Control

by Daniël Veldman

See also on our website: Randomized time-splitting in linear-quadratic optimal control,
Random Batch Methods for Linear-Quadratic Optimal Control Problems
A neural ODE and ResNet toolbox

by Borjan Geshkovski


See also on our website: The interplay of control and deep learning
Hamilton-Jacobi Equations: Inverse Design

by Carlos Esteve

See also on our website: Inverse Design For Hamilton-Jacobi Equations,
Hamilton-Jacobi Equations: Inverse Design
Augmented Lagragian preconditioners for incompressible flow

by Alexei Gazca


See also on our website: Augmented Lagragian preconditioners for incompressible flow
pyGasControls Framework

by Aleksey Stiksel

See also on our website: pyGasControls Framework,
pyGasControls library (simulation software)

Templates

DCN poster template

by Daniël Veldman



LaTeX template for DFG form 53.01

by Giovanni Fantuzzi



FAU letters (LaTeX)

by Giovanni Fantuzzi



Other

Sheep herding game

by Daniël Veldman

See also on our website: Sheep Herding Game,
FAU DCN-AvH at #NdW22 Long Night of Sciences

Popular repositories

  1. PINNs_wave_equation PINNs_wave_equation Public

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

    Python 18 8

  2. eDMD-sos eDMD-sos Public

    Data-driven construction of auxuliary functions for dynamical system analysis

    MATLAB 7 1

  3. ADMM-PINNs ADMM-PINNs Public

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

    Jupyter Notebook 2 1

  4. pinns_heat pinns_heat Public

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

    Python 2 1

  5. pyControls pyControls Public

    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 read…

    C++ 1

  6. RL-cart RL-cart Public

    Control of a cart via reinforcement learning

    Jupyter Notebook 1 1

Repositories

Showing 10 of 14 repositories
  • eDMD-sos Public

    Data-driven construction of auxuliary functions for dynamical system analysis

    MATLAB 7 1 0 0 Updated Feb 1, 2024
  • .github Public
    0 1 0 1 Updated Nov 20, 2023
  • pinns_heat Public

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

    Python 2 1 0 0 Updated Nov 20, 2023
  • DCN_poster_template Public

    LaTeX template for the posters at the Chair in Dynamics, Control, and Numerics.

    TeX 0 0 0 0 Updated Sep 18, 2023
  • RL-cart Public

    Control of a cart via reinforcement learning

    Jupyter Notebook 1 MIT 1 0 0 Updated Jul 25, 2023
  • numerical_graphs Public Forked from dmanea28/numerical_graphs

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

    Python 0 1 0 0 Updated Jul 7, 2023
  • ADMM-PINNs Public

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

    Jupyter Notebook 2 1 0 0 Updated Jun 27, 2023
  • FL-FedAvg Public

    A basic PyTorch implementation of the Federated Learning FedAvg algorithm.

    Python 0 1 0 0 Updated Feb 2, 2023
  • PINNs_wave_equation Public

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

    Python 18 8 1 0 Updated Sep 21, 2022
  • hamilton_jacobi Public

    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.

    MATLAB 0 0 0 0 Updated Sep 12, 2022
View all repositories

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