Math and Research

Breaking the symmetry with Robin boundary conditions By Alba Lia Masiello, Visiting PhD student from University of Naples Federico II ...
Read More

Convolutional autoencoders for very low-dimensional parametrizations of nonlinear fluid flow By Jan Heiland, MPI for Dynamics of Complex Technical Systems ...
Read More

Torsional Rigidity: Classical and new results By Gloria Paoli Torsional rigidity is a key quantity to characterize how a beam ...
Read More

Analysis of a local-nonlocal polymer chain model By Jean-Daniel Djida What does the mathematics of partial differential equations have to ...
Read More

Federated Learning: Protect your data and privacy By Ziqi Wang Code: A basic PyTorch implementation of the FedAvg algorithm (GitHub) ...
Read More

Breaking the curse of dimensionality with Barron spaces By Antonio Álvarez López 1 Introduction Recent advances in computational hardware have ...
Read More

Stability results for the KdV equation with time-varying delay By Hugo Parada Ríos Introduction The Korteweg-de Vries equation (KdV), is ...
Read More

Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs) By Dania Sana Code: • See the complete report ...
Read More

Derivation of the pressure function By Veronika Riedl Code: Files to run: nocircle.m, onecircle.m or twocircles.m 1 Introduction This post ...
Read More

Author: Daniël Veldman, FAU DCN-AvH Code: A sheep herding game in MATLAB developed for the Long Night of Science #NdW22 ...
Read More

Author: Martín Hernández, FAU DCN-AvH Code: In this repository, we show a code for Lloyd's algorithm. Also called Voronoid iteration, ...
Read More

Using the support function for optimal shape design By Ilias Ftouhi 1 Motivation Led by problems of optimal placement and ...
Read More

Uniform Turnpike Property By Martín Hernández Salinas 1 Introduction In this post, we analyze a 1 − d heat equation ...
Read More

Author: Borjan Geshkovski, MIT The interplay of control and Deep Learning By Borjan Geshkovski It is superfluous to state the ...
Read More

Nonlinear hyperbolic systems: Modeling, controllabiliy and applications By Yue Wang The control theory of hyperbolic systems is an important topic ...
Read More

Kinetic theory of Bose Einstein Condensates By Minh-Binh Tran If a dilute gas of bosons, about one-hundred-thousandth the density of ...
Read More

Author: Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code:   [HINT] To run the software on your computer, you ...
Read More

Author: Carlos Esteve, Deusto CCM Code: In a previous post "Inverse Design For Hamilton-Jacobi Equations", described all the possible initial ...
Read More

Author: Daniel Veldman, FAU DCN-AvH Code: || Also available @Daniël's GitHub In a previous post "Randomized time-splitting in linear-quadratic optimal ...
Read More

Author: Alexei Gazca, FAU DCN-AvH Code:   Below is a description of the types of problems that can be tackled ...
Read More

Transition Layers in Elliptic Equations By Maicon Sônego Stable transition layers in an unbalanced bistable equation Consider the following semi-linear ...
Read More

Randomized time-splitting in linear-quadratic optimal control By Daniël Veldman Introduction Solving an optimal control problem for a large-scale dynamical system ...
Read More

Felix Klein: A Legacy of Innovation in Mathematics and Education By Roberto Rodríguez del Río, Complutense University of Madrid | ...
Read More

Control of Advection-Diffusion Equations on Networks and Singular Limits By Jon Asier Bárcena-Petisco, Márcio Cavalcante, Giuseppe Maria Coclite, Nicola de ...
Read More

Probabilistic Constrained Optimization on Flow Networks By Michael Schuster This research was funded by DFG in the SFB Transregio 154: ...
Read More

Perceptrons, Neural Networks and Dynamical Systems By Sergi Andreu // This post is last part of the "Deep Learning and ...
Read More

Deep Learning and Paradigms By Sergi Andreu // This post is the 2nd. part of the "Opening the black box ...
Read More

Opening the black box of Deep Learning By Sergi Andreu Deep Learning is one of the three main paradigms of ...
Read More

Averaged dynamics and control for heat equations with random diffusion By Jon Asier Bárcena Petisco, Enrique Zuazua Background and motivation ...
Read More

pyGasControls Framework By Martin Gugat, Enrique Zuazua, Aleksey Sikstel In order to optimize the operation of gas transportation networks, as ...
Read More

Model-based optimization of ripening processes with feedback modules By Michele Spinola 1 Important remark This contribution presents a proof of ...
Read More

Gas networks uncertainty and Probust constraints: model, distribution and optimization By Martin Gugat Gas transport and distribution systems are usually ...
Read More

Q-learning for finite-dimensional problems By Carlos Esteve Reinforcement Learning Reinforcement Learning (RL) is, together with Supervised Learning and Unsupervised Learning, ...
Read More

The interplay of control and Deep Learning By Borjan Geshkovski It is superfluous to state the impact deep (machine) learning ...
Read More

Neural networks and Machine Learning By Marius Yamakou Neural Networks with time delayed connections Neurons communicate with each other through ...
Read More

Stochastic Synchronization of Chaotic Neurons By Marius Yamakou Real biological neurons can show chaotic dynamics when excited by the certain ...
Read More

Nonlocal population balance equations and applications By Michele Spinola Motivational example: look ahead behavior of car drivers When analyzing traffic ...
Read More

Inverse Design For Hamilton-Jacobi Equations By Carlos Esteve, Enrique Zuazua In many evolution models, the reconstruction of the initial state ...
Read More

Stochastic Neural Dynamics By Marius Yamakou Neural activity shows fluctuations and unpredictable transitions in its dynamics. This randomness can be ...
Read More

Controllability properties of fractional PDE By Umberto Biccari Controllability of the fractional heat equation Let \omega\subset (-1,1) be an open ...
Read More

Flows on Networks By Enrique Zuazua, Nicola de Nitti PDE models on Networks In the last few decades, models based ...
Read More

Stochastic optimization for simultaneous control By Umberto Biccari What is a simultaneous control problem? Consider the following parameter-dependent linear control ...
Read More

Convexity and Starshapedness of feasible sets in Stationary Flow Networks By Martin Gugat, Michael Schuster This research was funded by ...
Read More

Collective dynamics modelling, Control and Simulation By Dongnam Ko Collective dynamics Herds, packs, bird flocks, and fish schools are common ...
Read More

Classical models By Cyprien Neverov Compartmental epidemiological models [1] where introduced almost a century ago and are still considered the ...
Read More

Non-local population balance equations By Michele Spinola Nichtlokale Populationsbilanzgleichungen. Der Verlauf des Weges wie zur Schule oder zur Arbeit hängt ...
Read More