Date: Wed. November 12, 2020 Organized by: Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Geometric Flows and Phase Transitions in Heterogeneous Media Speaker: Prof. Dr. Irene Fonseca Affiliation: Carnegie Mellon University (USA) Abstract. We present the first unconditional convergence results for an […]
Geometric Flows and Phase Transitions in Heterogeneous Media
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Date: Mon. November 9, 2020 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Mini-workshop “Mini-Workshop on Neural Dynamics” 10:00H – 10:30H Prof. Dr. Moritz Gerster – Institute of Theoretical Physics, TU Berlin, Germany “FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena” Abstract. […]
Q-learning for finite-dimensional problems By Carlos Esteve Reinforcement Learning Reinforcement Learning (RL) is, together with Supervised Learning and Unsupervised Learning, one of the three fundamental learning paradigms in Machine Learning. The goal in RL is to enhance the manipulation of a controlled system by using data from past experiments. […]
Date: Wed. November 04, 2020 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Deep Learning and Optimal Control with Fractional Operators Speaker: Prof. Dr. Harbir Antil Affiliation: George Mason University, USA Abstract. Fractional calculus and its application to anomalous diffusion […]
Date: Thu. October 29, 2020 Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Finding solutions of the multi-dimensional compressible Euler equations Speaker: Prof. Dr. Christian Klingenberg Affiliation: Universität würzburg, Germany Abstract. This talk will survey some results for the two- […]
Date: Wed. October 21, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Some problems in the dynamics of stratified fluids Speaker: Dr. Roberta Bianchini Affiliation: Italian National Research Council, Istituto per le Applicazioni del Calcolo “Mauro Picone” (Italy) […]
Date: Wed. October 14, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Analytic Properties of Heat Equation Solutions and Reachable Sets Speaker: Prof. Dr. Alden Waters Affiliation: University of Groningen (The Netherlands) Abstract. We consider heat equations on […]
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 also increasingly present in […]
Course: Modeling and Analysis in Continuum Mechanics 1 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2020/2021 winter semester Date: October 2020 – March 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Date: Mon. October 12, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Mini-Workshop on Hyperbolic Problems Title: Entropy methods for gas dynamics on networks Speaker: Prof. Dr. Yannick Holle Affiliation: RWTH Aachen University (Germany) Slides Title: Controllability of […]
Date: Thu. October 8, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: The Relativistic Vlasov–Maxwell System with External Electromagnetic Fields Speaker: Dr. Jörg Weber Affiliation: Lund University (Sweden) Abstract. The time evolution of a collisionless plasma is modeled […]
Date: Fri. October 2, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: A Multistage Mosquito-Centred-Mathematical Model for Malaria which accounts for Mosquito Gonotrophic Cycle Contributions Speaker: Dr. Miranda Teboh-Ewungkem Affiliation: Lehigh University (USA) Abstract. We develop and analyze […]
Date: Tue. September 8 – Thu. October 1, 2020 Organized by: Deusto CCM Title: CCM Course: Inverse problems in Reinforcement Learning Speaker: Dr. Carlos Esteve Yague, Affiliation: UAM | Deusto CCM Abstract. This mini-course aims to be an introduction to Reinforcement Learning for people with a background in control theory. […]
Neural networks and Machine Learning By Marius Yamakou Neural Networks with time delayed connections Neurons communicate with each other through electrical signals. It is well known that these signals are oscillatory and that the properties of the oscillations depend on the characteristics of the individual neurons, how the neurons are […]
Stochastic Synchronization of Chaotic Neurons By Marius Yamakou Real biological neurons can show chaotic dynamics when excited by the certain external input current. The behavior of these neurons is characterized by instability and, as a result, limited predictability in time. Mathematically, a system is chaotic if it has a […]
Date: Wed. September 23, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: An SQP Method for Equality Constrained Optimization on Hilbert Manifolds Speaker: Prof. Dr. Anton Shiela Affiliation: Universität Bayreuth Abstract. – Slides _ Don’t miss out our […]
Nonlocal population balance equations and applications By Michele Spinola Motivational example: look ahead behavior of car drivers When analyzing traffic situations, one possible way to observe the current state is from bird’s eye view. The velocity of a car driver at time at location depends on the traffic density at […]
Date: Wed. September 16, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Modeling of a Virus Pandemicin a Globally Connected World: A multi-scale active particles approach Speaker: Prof. Dr. Nicola Bellomo Affiliation: University of Granada (Spain) and IMATI […]
Inverse Design For Hamilton-Jacobi Equations By Carlos Esteve, Enrique Zuazua In many evolution models, the reconstruction of the initial state given an observation of the system at time represents a major challenge in mathematical modelling. Especially if it involves irreversible processes, where sometimes, different initial conditions can lead the system […]
Date: Wed. September 9, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Modelling choices in model-based Reinforcement Learning Speaker: Dr. Georgios Kontes Affiliation: Self-Learning Systems Group, Precise Positioning and Analytics Department, Fraunhofer Institute for Integrated Circuits IIS Abstract. […]
Date: Wed. September 2, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Deep Learning and Computations of PDE Speaker: Dr. Siddhartha Mishra Affiliation: ETH Zürich Abstract. – Slides Recording/Video: _ Don’t miss out our Upcoming events! || Subscribe […]
Stochastic Neural Dynamics By Marius Yamakou Neural activity shows fluctuations and unpredictable transitions in its dynamics. This randomness can be an integral aspect of neuronal function; examples range from discrete fluctuations of ion channels to sudden sleep stage transitions involving the entire brain. To understand brain function as well as […]
Date: Wed. July 30, 2020 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Controllability of nonlocal conservation laws on bounded domain Speaker: Dr. Alexander Keimer Affiliation: University of Berkeley (USA) Abstract. – Slides Recording/Video: _ Don’t miss out our […]
Controllability properties of fractional PDE By Umberto Biccari Controllability of the fractional heat equation Let be an open and nonempty subset. Consider the following non-local one-dimensional heat equation defined on the domain where is a given initial datum. In (1), for all , denotes the one-dimensional fractional Laplace operator, […]
Flows on Networks By Enrique Zuazua, Nicola de Nitti PDE models on Networks In the last few decades, models based on partial differential equations have been very effective in tackling many applied problems dealing with flows on networks. The areas of application include mainly the study of vehicular traffic, […]
Stochastic optimization for simultaneous control By Umberto Biccari What is a simultaneous control problem? Consider the following parameter-dependent linear control system with The matrix is associated with the Brunovsky canonical form of the linear ODE where denotes the -th derivative of the function . In (1)-(2), , , […]
Convexity and Starshapedness of feasible sets in Stationary Flow Networks This research was funded by DFG in the SFB Transregio 154: Mathematical modelling, simulation and optimization using the example of gas networks. Uncertainty often plays an important role in application driven modeling. This often leads to optimization problems […]
Collective dynamics modelling, Control and Simulation By Dongnam Ko Collective dynamics Herds, packs, bird flocks, and fish schools are common examples of the collective behaviors arising from the interactions of individuals. Each individual has its own decision policy, as in the stock market or game theory, which interacts with […]
Classical models By Cyprien Neverov Compartmental epidemiological models [1] where introduced almost a century ago and are still considered the standard way of modeling a disease in a population. They are also called SIR models because they divide the population into different compartments like Susceptible, Exposed, Infected, Recovered and model […]
Non-local population balance equations By Michele Spinola Nichtlokale Populationsbilanzgleichungen. Der Verlauf des Weges wie zur Schule oder zur Arbeit hängt stark von der entsprechenden Verkehrslage ab. Genauso spielen chemisch synthetisierte Produkte wie Pharmaka oder Kosmetika eine wichtige Rolle im Alltag. Dementsprechend relevant ist es, mathematische Modelle zu entwickeln, die diese […]
Course: Partial Differential Equation, Control, and Numerics Lecturer: Enrique Zuazua | Exercise classes: Nicola De Nitti Period: 2019/2020 summer semester Date: April – July 2020 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
On January 3rd., 2020 our Head of the Chair Enrique Zuazua awarded the Txopitea eta Pakea, the maximum recognition of the city of Éibar, Basque Country (Spain). Every year the city of Éibar awards the “Txopitea eta Pakea” award to an outstanding personality born in the city (“eibarrés”) and this […]
e-Learning Anja Bird, Andreas Räthe, Wigand Rathmann, Nicolai von Schroeders Supported by FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg Duration: 2019 – Higher Education. Internationalisation 2.0. Calculus and Basic Stats with R (2018-now). Transition Studies are being developed at FAU to help foreign students enter the Master’s program at FAU. Mathematics is involved in […]
DFG-Priority Programme SPP 1679 Dynamic simulation of interconnected solids processes. (2017 – 2019) Günter Leugering, Lukas Plug, Michele Spinola Supported by DFG Duration: 2017 – 2019 The material and the energy conversion of technical processes often consist of many individual substeps, which are interconnected by material, energy and information flows. The […]
Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship (formerly Applied Analysis) Our Team Supported by Alexander von Humboldr Foundation / Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) Duration: 2019 – now Funded by Alexander von Humboldt Stiftung/Foundation, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt […]
Enrique Zuazua wins the “Humboldt Professorship” award 2019 With a value of 3.5 million euros, the Alexander von Humboldt Professorship is the most highly-endowed research award in Germany and draws top international researchers to German universities. The world can be understood as an accumulation of “shapes in motion”. And Enrique […]
Enrique Zuazua, Professor of Applied Mathematics at the Universidad Autónoma de Madrid, has been appointed ambassador of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), the first distinction of its kind awarded by this German university (2015). In his acceptance speech, entitled “Mathematics: Illuminating the darkness“, Enrique Zuazua highlighted the years of close collaboration […]