Torsional Rigidity: Classical and new results Torsional rigidity is a key quantity to characterize how a beam responds to applied forces. The higher the torsional rigidity, the harder it is to deform the beam. A natural question arises: which shape for the beam’s cross section yields the highest torsional rigidity? […]
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440 posts
Next Wednesday March 15, 2023 our Prof. Akad. Director Martin Gugat, will talk on “Observer Systeme für Gasnetze” at the ,Elgersburg Workshop’ at TU Ilmenau, Technische Universität Ilmenau on March 12-16th, 2023. Abstract. Pipeline networks correspond to graphs where the edges are given by the pipes that form the network. […]
Date: Thursday March 9, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: A Deep Learning approach to Reduced Order Modeling of Parameter dependent Partial Differential Equations Speaker: Prof. Dr. Paolo Zunino Affiliation: […]
Date: Thursday March 2, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU DCN-AvH Seminar “Conservation laws on a star-shaped network” Speaker: Prof. Dr. Carlotta Donadello Affiliation: Université de Franche-Comté (France) Abstract. Hyperbolic conservation laws defined on […]
BAYLAT and the chair “Dynamics, Control and Numerics – Alexander von Humboldt Professorship” of FAU sign an agreement to promote the exchange of talents in mathematical research On February 27, 2023, BAYLAT and the Chair “Dynamics, Control and Numerics – Alexander von Humboldt Professorship” (DCN-AvH) at Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) officially […]
On Monday March 6, 2023 our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” organized by the Mechanical and Aerospace Engineering at UC San Diego (USA). Abstract. In this lecture we shall present some recent results on the interplay between control and Machine Learning, and more precisely, […]
Date: Tuesday February 14, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Towards a better description of sea states Speaker: Dr. Susanne Støle-Hentschel Affiliation: École Normale Supérieure Paris-Saclay (France) Abstract. In the light of climate change, […]
Date: Tuesday February 14, 2023: Event: FAU DCN-AvH Mini-workshop: Variational Methods, Functional Inequalities, and Shape Optimization Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) 15:00H Title: Fractional Pohozaev Identities Speaker: Dr. Sidy Moctar Djitte Affiliation: Postdoctoral researcher at […]
Date: Thursday February 9, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Towards a better description of sea states Speaker: Dr. Guy Foghem Affiliation: Technische Universität Dresden (Germany) Abstract. Within the framework of Hilbert spaces, we […]
Date: Wed. February 1, 2023 Event: FAU MoD Lecture (two sessions) Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) This FAU MoD Lecture will have two sessions: Session 1: Main lecture (10:30H – 11:30H) Applications of AAA Rational Approximation Speaker: Prof. Dr. Nick Trefethen […]
Date: Friday, January 20, 2023: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Consensus-based High Dimensional Global Non-convex Optimization in Machine Learning” Speaker: Prof. Dr. Shi Jin Affiliation: Shanghai Jiao […]
Date: Wed. January 18, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Lagrangian controllability of the incompressible Navier-Stokes equations” Speaker: Prof. Dr. Franck Sueur Affiliation: Institute of Mathematics of […]
Control, inversion and numerics for Partial Differential Equations (CIN-PDE) Project Nº: M-0548 Affiliated Entities: Fudan University (FDU, Shanghai), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany) Supported by Sino-German Mobility Programme from Chinesisch-Deutsches Zentrum für Wissenschaftsförderung located in NSFC (National Natural Science Foundation of China) and DFG (Deutsche Forschungsgemeinschaft/ German Research Foundation) Duration: 2022 […]
Federated Learning: Protect your data and privacy Code: A basic PyTorch implementation of the FedAvg algorithm (GitHub) Federated Learning is becoming an increasingly popular topic in machine learning. But what is it, and why do we need it? To explain what the excitement is all about, this post outlines the […]
Breaking the curse of dimensionality with Barron spaces 1 Introduction Recent advances in computational hardware have enabled the implementation of the set of algorithmic methods known as Deep Learning, whose development nevertheless dates back several decades. In this way, they have emerged in the latest years as the main tool […]
DTN MoDConFlex. Modelling and control of flexible structures interacting with fluids Project/grant No.: 101073558 Affiliated Entities: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Bergische Universität Wuppertal, Tel Aviv University, Universiteit Twente, Université Bourgogne Franche-comté (UBFC), Université de Bordeaux Supported by HORIZON TMA MSCA. Marie Skłodowska-Curie Doctoral-Training-Network Duration: 2023 – 2027 The network brings together 17 […]
Date: Wed. December 07, 2022: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Gaussian random interface models and discrete Green’s functions” Speaker: Dr. Florian Schweiger Affiliation: Weizmann Institute of Science […]
Stability results for the KdV equation with time-varying delay Introduction The Korteweg-de Vries equation (KdV), is a third-order nonlinear one-dimensional equation given by . It was introduced in [6] to model the propagation of long water waves in a channel. In the last few years, the controllability and stabilization properties […]
Date: Wed. November 30, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Compensated Integrability and Conservation Laws” Speaker: Prof. Dr. Denis Serre Affiliation: Ecole Normale Supérieure de Lyon (France). […]
BaCaTeC. Control and Machine Learning Enrique Zuazua, Miroslav Krstic Supported by HighTech Research between Bavaria and California (BaCaTeC, Bayerisch-Kalifornische Hochschulzentrum) Duration: 2023 – 2025 Machine Learning (ML) is forging a new era in Applied Mathematics (AM), generating rich, intensive, innovative research, insightful new ideas and powerful methods. However, simultaneously, this is […]
Date: Thu. November 24, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Controlling the spread of invasive biological species” Speaker: Prof. Maria Teresa Chiri Affiliation: Department of Mathematics and […]
Date: Wed. November 16, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Ensemble control of quantum systems by adiabatic evolution” Speaker: Prof. Dr. Mario Sigalotti Affiliation: Centre de Recherche […]
Date: Tue. November 14, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Analysis, Numerics and Control” 11:30H Title: Breaking the curse of dimensionality with Barron Spaces Speaker: Antonio Álvarez López Affiliation: Visiting PhD Student from UAM, […]
Summary poster (2022), Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU – Friedrich Alexander Universität, Erlangen – Nürnberg FAU DCN-AvH (Summary poster 2022) View this poster
Project poster (2022), Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU – Friedrich Alexander Universität, Erlangen – Nürnberg FAU DCN-AvH (Project poster version 2022) View this poster
Date: Fri. November 11, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Analysis, Numerics and Control” 11:00H Title: Stabilization results for the KdV equation Speaker: Hugo Parada Affiliation: Visiting PhD Student from the Laboratory Jean Kunztmann, […]
Date: Thu. November 10, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Discovering scaling laws for heat transport with convex optimization” Speaker: Prof. Dr. Giovanni Fantuzzi Affiliation: FAU DCN-AvH, […]
Date: Wed. November 2, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Machine learning for MR image reconstruction: From first results to ongoing challenges” Speaker: Prof. Dr. Florian Knoll […]
Introduction to control and machine learning Professors: Enrique Zuazua, Yongcun Song Period: Winter Semester 2022/2023 Date: November to December 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4724699
Date: Wed. October 26, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Theory of homogeneous dynamical systems and their application” Speaker: Prof. Dr. Denis Efimov Affiliation: Inria, Lille – […]
Date: Thu. October 26, 2022 Event: II Workshop on Control Theory and Partial Differential Equations Universidade Federal Fluminense, Brazil Title: Control and Machine Learning Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. In this lecture we shall present some recent results on the interplay between control and […]
Date: Tue. October 18, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Natural gradient in evolutionary games” Speaker: Prof. Dr. Vladimir Jaćimović Affiliation: Faculty of Natural Sciences and Mathematics, […]
Course: Mathematical Modeling in the Life Sciences Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Date: Wed. October 12, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Remarks on the long-time dynamics of 2D Euler” Speaker: Prof. Dr. Theodore Drivas Affiliation: Mathematics Department, Stony […]
Date: Wed. October 5, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Large-amplitude modulation of periodic traveling waves” Speaker: Prof. Dr. Kevin Zumbrun Affiliation: Department of Mathematics, Indiana University […]
Date: October 03, 2022 Author: Prof. Dr. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany). Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship Source: SIAM News, Society for Industrial and Applied Mathematics. Pittsburgh, Pennsylvania (USA) Two recurring questions pertain to the origin, history, and present state of mathematics. The […]
Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs) Introduction Accurate and fast predictions of numerical solutions are of significant interest in many areas of science and industry. On one hand, most theoretical methods used in the industry are the result of deriving differential equations that are […]
Date: Mon. September 19, 2022 Event: FAU MoD Lecture Series Organized by: FAU MoD, Research Center for Mathematics of Data at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Learning-Based Optimization and PDE Control in User-Assignable Finite Time Speaker: Prof. Dr. Miroslav Krstic Affiliation: University of California San Diego (USA) Abstract. This year […]
Start with tutorials to get familiar with the code Tutorial 1: Train a neural ODE based network on point cloud data set and generating a gif of the resulting time evolution of the neural ODE Code: Code is based on GitHub: borjanG : 2021-dynamical-systems that uses the torchdiffeq package GitHub […]
Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer 2022 (IFAC CPDE 2022 Course) _ This course gives a general introduction and some recent developments on the interface between Control, Numerics, and Machine Learning (Supervised Learning and Universal Approximation). The first part of the course is […]
Date: Tue. September 6, 2022 Event: M4CSA, Mathematics for Computer Science and Applications. Title: Control and Machine Learning Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Our Head Enrique Zuazua talked about “Control and Machine Learning” at the M4CSA, Mathematics for Computer Science and Applications.. The conference focused […]
• Gloria Paoli, Friedrich-Alexander-Universität Erlangen–Nürnberg • Ilias Ftouhi, Friedrich-Alexander-Universität Erlangen–Nürnberg • Alba Lia Masiello, Università degli Studi di Napoli Federico II Sharp estimates for the cheeger constant in the planar case View this poster
Event: CIN-PDE 2024 • Ilias Ftouhi, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Optimal shape design of sensors via a geometric approach View this poster
Course: Control and optimization for non-local and fractional differential equations Period: Summer 2022 (August 1st – August 12nd, 2022) I. Introduction to Control Theory • Lecture 1: Introduction to Control Theory • Lecture 2: Introduction to Control Theory II. Non-local in time models • Lecture 3: ODE and ODE with […]
Gas networks at stationary states: Analysis, software and visualization Code: Files to run: nocircle.m, onecircle.m or twocircles.m 1 Introduction This post presents the results of my Bachelor thesis about the modeling and implementation of gas networks at stationary states. Using the isothermal Euler equations to describe the gas flow […]
Author: Daniël Veldman, FAU DCN-AvH Code: A sheep herding game in MATLAB developed for the Long Night of Science #NdW22 (Lange Nacht der Wissenschaft) Erlangen-Furth-Nuernberg 2022. Main rules • The dog should drive sheep to the target (red). • You can steer the dog with the arrow keys. • The […]
Author: Martín Hernández, FAU DCN-AvH Code: In this repository, we show a code for Lloyd’s algorithm. Also called Voronoid iteration, this is an iterative algorithm finding for equispaced convex cells in euclidean space. Lloyd’s algorithm finds the distribution of the cells computing their center of mass and iteratively applying the […]
Date: July 13, 2022 Enrique Zuazua, 2022 W.T. and Idalia Reid Prize Laureate: Prof. Dr. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Award: Enrique Zuazua: 2022 W.T. and Idalia Reid Prize By: SIAM – Society for Industrial and Applied Mathematics Location: Room “Spirit of Pittsburgh A”. SIAMAN22, SIAM Annual Meeting. Pittsburgh, […]
Using the support function for optimal shape design 1 Motivation Led by problems of optimal placement and design of sensors, we are interested in considering the following shape optimization problem where is the Hausdorff distance between and defined as follows with is the distance from to the set . […]