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, […]
darlis.dcn
415 posts
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: FAU MoD Lecture “Learning-Based Optimization and PDE Control in User-Assignable Finite Time” Speaker: Prof. Dr. Miroslav Krstic Affiliation: University of California San Diego (USA) […]
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 . […]
Date: Fri. July 08, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Quantitative rapid stabilization of some PDE models Speaker: Prof. Dr. Shengquan Xiang Affiliation: Mathematical Institute for Data Science at Johns Hopkins University (USA) Abstract. […]
Date: Tue. July 05, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship Title: Quasi-reversibility methods of optimal control for ill-posed final value diffusion equations Speaker: Visitor scientist Prof. Dr. Mahamadi Warma Affiliation: George Mason University (USA) Abstract. We consider optimal control problems […]
Date: Fri. July 1, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Recent Advances in Analysis and Control” 10:00H Alejandro Aceves, Southern Methodist University “Optics with fractional diffraction” Slides Abstract. Advances in optics many times rely […]
Date: Wed. June 22, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Physics-inspired equivariant machine learning Speaker: Prof. Dr. Soledad Villar Affiliation: Mathematical Institute for Data Science at Johns Hopkins University (USA) Abstract. There has been enormous […]
Date: Mon. June 20, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Recent Advances in Analysis and Control” *Hybrid event (online & on-site) Recording/Video: (available soon) […]
The code implements the gradient regularization method of robust training in the setting of neural ODEs. Various jupyter notebooks are included that generate plots comparing standard to robust training for 2d point clouds. Code: A good starting point is robustness_plots.ipynb Code is based on GitHub: borjanG : 2021-dynamical-systems that uses […]
Date: Tue. June 14, 2022 Organized by: CIRM, Centre International de Rencontres Mathématiques (Marseille, France) Title: Optimal design of sensors and actuators Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Our Head Enrique Zuazua talked about “Optimal design of sensors and actuators” at the Theoretical and Numerical Trends […]
Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer semester 2021 This course provides a practical introduction to some of the most commonly used discretization methods for PDEs (finite differences and finite elements) and their implementation in MATLAB. It also covers some of the basics of […]
Date: Fri. June 10, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Deep redatuming for PDE and inverse problems Speaker: Prof. Dr. Laurent Demanet Affiliation: MIT – Massachusetts Institute of Technology (USA) Abstract. Neural networks have been […]
Doctoral School of Information and Biomedical Technologies Polish Academy of Sciences: Modeling, Robust Design and Control of Gas Networks Institutions: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Systems Research Institute of the Polish Academy of Sciences (Warsaw, Poland) Duration: 2022 – now Simulation and Optimization on Finite Graphs is considered for the example of […]
Date: Wed. May 25, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Calculus of Variations and Functional Inequalities” 10:30H Tobias König, Institut de Mathématiques de Jussieu, Paris […]
Date: Tue. May 24, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop ““Model Reduction and Control” 15:00H Sebastian Peitz, Paderborn University (Universität Paderborn) “Efficient data-driven prediction […]
Date: Sat. May 21, 2022 18:00H – 00:00H Title: #NdW22 Long Night of Sciences (Lange Nacht der Wissenschaft) On Saturday May 21th, 2022 the #NdW22 “Lange Nacht der Wissenschaften” (Long Night of Sciences) took place in Erlangen, Fürth, and Nürnberg and our FAU DCN-AvH, Chair for Dynamics, Control, and Numerics […]
Date: Thu. May 19, 2022 Organized by: Durham University, Seminars in Mathematical Sciences Title: Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop Speaker: Visitor scientist Prof. Dr. Weiwei Hu Affiliation: University of Georgia (USA) Abstract. The question of what velocity fields effectively enhance or prevent transport and mixing, […]
Date: Wed. May 11, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Some observations on the turnpike property and optimal actuator design Speaker: Dr. Borjan Geshkovski Affiliation: MIT – Massachusetts Institute of Technology (USA) Abstract. The turnpike […]
Uniform Turnpike Property 1 Introduction In this post, we analyze a heat equation with rapidly oscillating coefficients dependent on a parameter , with a distributed control. We show that the uniform null controllability implies the uniform turnpike property, i.e., the turnpike property with constants independent of the -parameter. The main […]
Date: Mon. April 25, 2022 Organized by: BAYLAT, Bayerisches Hochschulzentrum für Lateinamerika Title: “Visit of the Embassy of Uruguay in Erlangen, Bavaria (Germany)” On Monday April 25, our Head Prof. Enrique Zuazua presented an overview on our FAU DCN-AvH Chair for Dynamics, Control and Numerics at Friedrich-Alexander-Universität Erlangen-Nürnberg during the […]
Approximating Steady-State Maxwell’s Equations via Physics-Informed Neural Networks (Applications are welcome for the research internship positions for a Master thesis) Project No. 5500168 Institutions: Friedrich-Alexander-Universität Erlangen-Nürnberg, Fraunhofer IISB (Erlangen) Supported by the FAUeti, Emerging Talents Initiative at Friedrich-Alexander-Universität Erlangen-Nürnberg Duration: 2022 – 2024 In recent years, Physics-Informed Neural Networks (PINNs) […]
Date: Fri. April 29, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Robust Protection against Uncertainties in Discrete-Continuous Optimization Speaker: Prof. Dr. Frauke Liers Affiliation: FAU MoD Research Center for Mathematics of Data. Department of Data Science […]
Modeling, Simulation and Optimization (practical course) Professors: Enrique Zuazua, Daniël Veldman Period: Summer Semester 2021/2022 Date: April 25, 2022 to July 31, 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4366861
Course: Modeling and Analysis in Continuum Mechanics 2 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Control, Machine Learning and Numerics (2022) Lecturers: Enrique Zuazua, Yongcun Song Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Author: Borjan Geshkovski, MIT The interplay of control and Deep Learning By Borjan Geshkovski It is superfluous to state the impact deep (machine) learning has had on modern technology, as it powers many tools of modern society, ranging from web searches to content filtering on social networks. It is […]
Date: Fri. April 1, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Quantum algorithms for computing observables of nonlinear partial differential equations Speaker: Prof. Dr. Shi Jin Affiliation: Shanghai Jiao Tong University (China) Abstract. Nonlinear partial differential […]