Date: Wed. April 7, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Some aspects of cross diffusion equations Speaker: Prof. Dr. Laurent Desvillettes Affiliation: Université Paris Diderot, France Abstract. Cross diffusion systems are made of coupled parabolic equations and […]
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340 posts
Date: Wed. March 31, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Adaptive Computation of Sparse Solutions Speaker: Prof. Dr. Martin Burger Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. In this talk we will discuss approaches of adaptivity to the computation […]
Date: Fri. March 26 Organized by: Department Mathematik at FAU Erlangen-Nürnberg Title: Günter Leugering’s Farewell/Abschiedsfeier Our Chair represented by our Head Enrique Zuazua and our Professor Martin Gugat presented special words during the farewell of Professor Dr. Günter Leugering, who retired after all his work on our Department of Mathematik […]
Date: Thu. March 25, 2021 Organized by: French-speaking Pole at UAM – Autonomous University of Madrid. Title: Hire me, I’m a mathematician Speaker: Our Head Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Our Head Enrique Zuazua talked about ““Hire me, I’m a Mathematician”” at Cafés Scientifique de la Culture. Abstract. In […]
Perceptrons, Neural Networks and Dynamical Systems By Sergi Andreu // This post is last part of the “Deep Learning and Paradigms” post Binary classification with Neural Networks When dealing with data classification, it is very useful to just assign a color/shape to every label, and so be able to visualize data in a lower-dimensional […]
Date: Wed. March 24, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Optimal sampling in least-squares methods – applications in PDEs and inverse problems Speaker: Prof. Dr. Albert Cohen Affiliation: Laboratoire Jacques-Louis Lions, Sorbonne Université, France Abstract. Recovering an […]
Date: Mon. March 22, 2021 Organized by: Chair Jean-Morlet at CIRM – Centre International de Rencontres Mathématiques, Marseille Luminy, France. Title: Chaire Jean-Morlet 2021: Dynamics and Control of a guiding Model Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. We model, simulate and control the guiding […]
Date: Wed. March 17, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: On Convex Type Constrained Problems of First Order and Some Applications Speaker: Prof. Dr. Jose Francisco Rodrigues Affiliation: University of Lisbon, Portugal Abstract. We revisit old and […]
Date: Thu. March 11, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: (Non)local phase coexistence models Speaker: Prof. Dr. Enrico Valdinoci Affiliation: University of Western Australia, Australia Abstract. We will discuss classical and recent results concerning the Allen-Cahn equation […]
Date: Mon. March 8, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Unilateral bounds for nonlinear semigroups and time-inversion Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany On March 8th, our Head Enrique Zuazua talked on the ‘Geometric and […]
Date: Fri. March 5, 2021 Organized by: Department of Mathematics at Federal University of Santa Catarina (UFSC – Universidade Federal de Santa Catarina), Brazil. Title: Coloquio MTM UFSC: Inverse design for conservation laws and Hamilton-Jacobi equations Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany On Friday March […]
Date: Fri. March 5, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: A non-controllability result for the half-heat equation on the whole line based on the prolate spheroidal wave functions and its application to the Grushin equation Speaker: Prof. […]
Deep Learning and Paradigms By Sergi Andreu // This post is the 2nd. part of the “Opening the black box of Deep Learning” post Deep Learning Now that we have some intuition about the data, it’s time to focus on how to approximate the functions that would fit that data. […]
• Daniël Veldman, Friedrich-Alexander-Universität Erlangen–Nürnberg The sheep herding game: Can you beat the algorithm? View this poster
• Martin Gugat, Friedrich-Alexander-Universität Erlangen–Nürnberg • Rüdiger Schultz, Universität Duisburg-Essen • Michael Schuster, Friedrich-Alexander-Universität Erlangen–Nürnberg Nodal control and the Turnpike phenomenon View this poster
• Dongnam Ko, Catholic University of Korea • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Model predictive control with random batch methods for a guiding problem View this poster
• Umberto Biccari, University of Deusto | DeustoCCM • Yongcun Song, Friedrich-Alexander-Universität Erlangen–Nürnberg • Yuan Xiaoming, The University of Hong Kong • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Sparse Initial Source Identification for a Diffusion – Advection Equation View this poster
• Umberto Biccari, University of Deusto | DeustoCCM • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Non-local PDE and Control View this poster
• Dario Pighin, UAM | DeustoCCM • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Long Time Control View this poster
• Yue Wang, Friedrich-Alexander-Universität Erlangen–Nürnberg • Günter Leugering, Friedrich-Alexander-Universität Erlangen–Nürnberg • Charlotte Rodríguez, Friedrich-Alexander-Universität Erlangen–Nürnberg • Tatsien Li, Fudan University • Gastón Vergara-Hermosilla, Université de Bordeaux Boundary Controllability of Nodal Profile for Hyperbolic Systems View this poster
• Charlotte Rodríguez, Friedrich-Alexander-Universität Erlangen–Nürnberg • Günter Leugering, Friedrich-Alexander-Universität Erlangen–Nürnberg • Yue Wang, Friedrich-Alexander-Universität Erlangen–Nürnberg Control and Stabilization of Geometrically Exact Beams C View this poster
• Carlos Esteve, UAM | DeustoCCM • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Inverse Design for Conservation Laws and Hamilton-Jacobi Equations View this poster
• Borjan Geshkovski, UAM | DeustoCCM • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Machine learning via control of Neural ODEs View this poster
• Tobias Wöhrer, Friedrich-Alexander-Universität Erlangen–Nürnberg • Anton Arnold, TU Vienna • Shi Jin, Shanghai Jiao Tong University Sharp Estimates in Defective Evolution Equations: From ODEs to Kinetic Equations with Uncertainties View this poster
• Marius Yamakou, Friedrich-Alexander-Universität Erlangen–Nürnberg The Stochastic FHN Neuron Model in the Excitable Regime Possesses a Global Random Pullback Attractor View this poster
• Hannes Meinlschmidt, Friedrich-Alexander-Universität Erlangen–Nürnberg • Joachim Rehber, Weierstrass Institute Parabolic Problems Arising in Real-World Applications View this poster
• Giuseppe Maria Coclite, Polytechnic University of Bari • Jean-Michel Coron, Université Pierre et Marie Curie • Nicola De Nitti, Friedrich-Alexander-Universität Erlangen–Nürnberg • Alexander Keimer, Institute of Transportation Studies UC Berkeley • Lukas Pflug, Friedrich-Alexander-Universität Erlangen–Nürnberg The Singular Limit of Nonlocal Conservation Laws to Local Conservation Laws View this poster
• Christophe Zhang, Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg System Identification by Koopman Operators: Quantitative Analysis View this poster
• Daniël Veldman, Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, Friedrich-Alexander-Universität Erlangen–Nürnberg Stochastic Simulation and Optimization for Dynamical Systems View this poster
• Martin Gugat, Friedrich-Alexander-Universität Erlangen–Nürnberg • Jan Giesselmann, Technische Universität Darmstadt • Teresa Kunkel, Technische Universität Darmstadt • Sven Weiland, Friedrich-Alexander-Universität Erlangen–Nürnberg Observer-based Data Assimilation in Time-dependent Flows in Gas Networks View this poster
• Alexei Gazca, Friedrich-Alexander-Universität Erlangen–Nürnberg Semismooth Newton Method for Viscoplastic Flow View this poster
• Alexander Keimer, UC Berkeley • Günter Leugering, Friedrich-Alexander-Universität Erlangen – Nürnberg • Lukas Pflug, Friedrich-Alexander-Universität Erlangen – Nürnberg • Doris Segets, University of Duisburg-Essen • Michele Spinola, Friedrich-Alexander-Universität Erlangen – Nürnberg Nonlocal Conservation Laws (NLCL) – Modeling, Simulation and Optimal Control View this poster
Date: Thu. February 25, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Spatially inhomogeneous evolutionary games Speaker: Prof. Dr. Marco Morandotti Affiliation: Politecnico di Torino, Italy Abstract. We study an interaction model of a large population of players based […]
Opening the black box of Deep Learning By Sergi Andreu Deep Learning is one of the three main paradigms of Machine Learning, and roughly consists on extracting patterns from data using neural networks. Its impact in modern technologies is huge. However, there is not a clear high-level description of what […]
Date: Thu. February 18, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics Speaker: Prof. Dr. Serge Nicaise Affiliation: Université Polytechnique Hauts-de-France, France Request Zoom […]
Date: Thu. February 11, 2021 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Nonlinear and measure-theoretic methods for large biological networks Speaker: Prof. Dr. Benedetto Piccoli Affiliation: Rutgers University, USA Abstract. In this talk, we will present two new techniques […]
Date: Thu. February 4, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Positivity-preserving methods for population models Speaker: Prof. Dr. Arieh Iserles Affiliation: University of Cambridge, UK Abstract. For good phenomenological reasons, the vector field of many ODEs of chemical kinetics and […]
Date: Tue. February 2, 2021 Organized by: One World PDE Title: Open World PDE Seminar: Inverse design for conservation laws and Hamilton–Jacobi equations Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. We shall discuss the inverse problem, or inverse design problem, for a time-evolution Hamilton–Jacobi equation and the […]
Date: Wed. January 27, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Fast approximation on the real line Speaker: Prof. Dr. Arieh Iserles Affiliation: University of Cambridge, UK Abstract. While approximation theory in an interval is thoroughly understood, the real line represents […]
Date: Thu. January 21, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Stabilization problem with oscillating inputs under nonlinear controllability conditions Speaker: Prof. Dr. Alexander Zuyev Affiliation: Max-Planck-Institut für Dynamik Komplexer Technischer Systeme, Germany Abstract. This talk is devoted to the development […]
Date: Wed. January 13, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: A PDE describing Roots of Polynomials under Differentiation Speaker: Prof. Dr. Stefan Steinerberger Affiliation: University of Washington, USA Abstract. Suppose you have a polynomial p_n (think of n as being […]
Averaged dynamics and control for heat equations with random diffusion By Jon Asier Bárcena Petisco, Enrique Zuazua Background and motivation Let us consider the random heat equation described by the following system: for a domain, a subdomain, a control, the initial configuration and the diffusivity coefficient, which is a positive […]
Date: Mon. Jan 11 – Fri. Jan 15, 2021 Event: 2021 Grid Science Winter School & Conference Organized by: Center for Nonlinear Studies at Los Alamos National Laboratory and the Graduate Program in Applied Mathematics at the University of Arizona (USA) Title: On Problems of Dynamic Optimal Nodal Control for […]
pyGasControls Framework By Martin Gugat, Enrique Zuazua, Aleksey Sikstel In order to optimize the operation of gas transportation networks, as a first step a powerful simulation software is mandatory. The flow model from continuum mechanics leads to a nonlinear hyperbolic system of balance laws for each pipe. For the dynamics […]
Date: Wed. December 16, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Variational neural annealing Speaker: Dr. Estelle Inack Affiliation: Perimeter Institute for Theoretical Physics, Canada Abstract. Many combinatorial optimization problems relevant to computer science, computational biology and physics can be tackled […]
Model-based optimization of ripening processes with feedback modules By Michele Spinola 1 Important remark This contribution presents a proof of concept together with numerical results to obtain a first idea how to deal with specific process chains within chemical engineering. The main reference of this webpage entry is [1]. Furthermore, […]
Master PDE course – Partial Differential Equations, Control and Numerics 01 Introduction Historical Introduction Introduction Control Design 02 Finite-dimensional linear control Finite-dimensional linear control 03 Basic Tools Gradient descent Methods An Algorithm for Density Background on Fourier Analysis Ingham’s inequality Adjoint Methods 04 Waves Waves, history […]
Date: Wed. December 10, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Towards a controllability analysis of multiscale systems: Application of the set-theoretic approach to a semi-batch emulsion polymerization process Speaker: Dr. Jorge Urrea Affiliation: Leibniz University Hannover and Universidad de Antioquia […]
Date: Wed. December 02, 2020 Organized by: Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Statistical inverse problems and gradient flow structures in the space of probability measures Speaker: Prof. Dr. Sebastian Reich Affiliation: Universität Potsdam (Germany) Abstract. Statistical inverse problems lead to […]
Date: Wed. November 25, 2020 Organized by: Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Control and regularity for non-local transport equations Speaker: Prof. Dr. Francesco Rossi Affiliation: Università di Padova (Italy) Abstract. This talk focuses on some control problems related to non-local […]