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Wissenschaftliches Rechnen

Lehrstuhlinhaber

Prof. Dr. Alfio Borzi

Lehrstuhlinhaber
Lehrstuhl für Mathematik IX
Emil-Fischer-Straße 30
97074 Würzburg
Gebäude: 30 (Mathematik West)
Raum: 00.007
Telefon: +49 931 31-84132
Fax: +49 931 31-838430

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Portrait Alfio Borzì

Forschungsinteressen

  • Modeling with partial differential equations (PDEs)
  • Development and analysis of discretization schemes for PDEs
  • Development and analysis of multigrid methods
  • Optimal control and inverse problems with PDEs
  • Multilevel iterative schemes for optimization with PDE models
  • Shape optimization
  • Quantum control problems
  • Simulation and control of multi-agent dynamics
  • Stochastic models and uncertainty
  • Fokker-Planck equations for control and calibration of stochastic models
  • Simulation and optimal design for gas dynamics and CFD systems
  • Mathematics of vision and imaging
  • Neural Networks

mehr

Publikationen

2024

  • A. Borzì, G. Infante, and G. Mascali,
    Optimal design of equilibrium solutions of the Vlasov-Poisson system by an external electric field,
    SIAM Journal on Applied Mathematics, 2024 (to appear).
  • N. Vater and A. Borzì,
    Convergence of a quasi-Newton method for solving systems of nonlinear underdetermined equations,
    Comput Optim Appl (2024).
    doi: 10.1007/s10589-024-00606-3
  • A. Dey, A. Borzì and S. Roy,
    A high contrast and resolution reconstruction algorithm in quantitative photoacoustic tomography,
    Journal of Computational and Applied Mathematics, 451 (2024), 116065.
    doi: 10.1016/j.cam.2024.116065
  • N. Vater and A. Borzì,
    A split preconditioning scheme for nonlinear underdetermined least squares problems,
    Numerical Linear Algebra with Applications, 2024.
    doi: 10.1002/nla.2558
  • S. Hofmann and A. Borzì,
    Pointwise error estimates of numerical solutions to linear quadratic optimal control problems,
    Journal of Scientific Computing, 99 (2024), 21, pp. 1-44.
    doi: 10.1007/s10915-024-02484-7
  • O. Morandi, N. Rotundo, A. Borzì, L, Barletti,
    An optimal control problem for the Wigner equation,
    SIAM Journal on Applied Mathematics, 84 (2024), pp. 387-411.
    doi: 10.1137/22M1515033
  • G. Nastasi, A. Borzì, V. Romano,
    Optimal control of a semiclassical Boltzmann equation for charge transport in graphene,
    Communications in Nonlinear Science and Numerical Simulation, 2024,
    doi: 10.1016/j.cnsns.2024.107933
  • J. Bartsch and A. Borzì,
    On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework,
    Kinetic and Related Models.
    doi: 10.3934/krm2024005
  • S. Roy and A. Borzì,
    Numerical approximation of kinetic Fokker–Planck equations with specular reflection boundary conditions,
    Journal of Computational Physics, 503 (2024) 112841.
    download: https://authors.elsevier.com/c/1ibF1508H~B25
    doi: https://doi.org/10.1016/j.jcp.2024.112841

2023

2022

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2021

2020

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2019

2018

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2017

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2016

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2015

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2014

2013

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2012

2011

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2010

2009

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2008

2007

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2006

2005

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2004

2003

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2002

  • A. Borzì, G. Stadler, and U. Hohenester, Optimal quantum control in nanostructures: Theory and application to a generic three-level system ,
    Phys. Rev. A 66, 053811 (2002).
  • A. Borzì, Fast multigrid methods for parabolic optimal control problems,
    Proceedings of 18-th GAMM Seminar Leipzig 2002.
  • G. Propst and A. Borzi,
    Numerical Investigation of periodically excited valveless pumping,
    in Simplicity behind Complexity, W. Klonowski (Ed.), Proceedings of Euroattractor 2002, Warsaw, Pabst science publishers, pp. 192-200
  • A. Borzì, K. Ito, and K. Kunisch, Optimal Control Formulation for Determining Optical Flow,
    SIAM J. Sci. Comput., 24(3) (2002), 818-847.
  • A. Borzì, K. Ito, and K. Kunisch, An Optimal Control Approach to Optical Flow Computation,
    Int. J. Numer. Meth. Fluids., 40 (2002), 231-240.

until 2000

  • A. Borzì and K. Kunisch, The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control,
    SIAM J. Sci. Comp., 22(1) (2000), 263-284.
  • A. Borzi, K.W. Morton, E. Suli and M. Vanmaele, Multilevel Solution of Cell Vertex Cauchy-Riemann Equations,
    SIAM J. Sci. Comp.,18(2) (1997),441-459.
  • M. Vanmaele, K.W. Morton, E. Suli and A. Borzi, Analysis of the Cell Vertex Finite Volume Method for the Cauchy-Riemann Equations,
    SIAM J. Num. Anal., 34(5) (1997), 2043-2062.
  • A. Borzi and A. Koubek, A multi-grid method for the resolution of thermodynamic Bethe ansatz equations,
    Comp. Phys. Commun., 75 (1993), 118-126.
  • A. Borzi and G. Fonte, On Variational principles for Nonlinear Partial Differential Equations in Complex Spaces,
    Nuovo Cimento, B107 (1992), 189-201.
  • A. Borzì, K. Ito and K. Kunisch An Optimal Control Approach to Optical Flow Computation,
    In M J Baines, editor, Numerical Methods for Fluid Dynamics VII, ICFD, Oxford University Computing Laboratory, 2001.
  • P. Bartsch, B. Bachner, A. Borzì, and H.A. Schuemie,
    Simulation of a Concentric-Tube Resonator,
    in International Symposium on Experimental and Computational Aerothermodynamics of Internal Flows 5th ISAIF, 4 - 7 September 2001 Gdansk.
  • A. Borzì and K. Kunisch, A Multigrid Method for the Optimal Control of Time-Dependent Reaction Diffusion Processes,
    in K.H. Hoffmann, R. Hoppe, and V. Schulz (Eds.), „Fast solution of discretized optimization problems“, International Series on Numerical Mathematics, Vol. 138, Birkhäuser, 2001.
  • A. Borzì and G. Borzì, Algebraic Multigrid and Conjugate Gradient Methods for the Solution of FEM Equations for 3D Static Problems,
    9th IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz (Austria), 11-14 settembre, 2000.
  • P. Bartsch and A. Borzì, A New Reconstruction Technique for the Euler Equations of Gas Dynamics with Source Terms,
    in E. Toro (Ed.), „Godunov Methods: Theory and Applications“, Kluwer Academic/Plenum Publishers, 2001.
  • A. Borzì, K. Kunisch, and M. Vanmaele, A Multi-Grid Approach to the Optimal Control of Solid Fuel Ignition Problems,
    in E. Dick, K. Riemslagh and J. Vierendeels (Eds.), Lecture Notes in Computer Science and Engineering, 14, European Multigrid Meeting 1999, Springer 2000.
  • A. Borzi, K.W. Morton, E. Suli and M. Vanmaele, A full multi-grid method for the solution of the cell vertex Cauchy-Riemann equations,
    in "Seventh Copper Mountain Conference on Multigrid Methods", ed. by N.D. Melson, T.A. Manteuffel, S.F. McCormick and C.C. Douglas, 73-86, NASA, Hampton, (1996).
  • A. Borzi, Burgers Equation and Multi-Grid Techniques,
    in "Contributions to Multigrid" ed. bv P.W. Hemker and P. Wesseling, CWI, Amsterdam, (1994).
  • A. Borzi, On the Extension of the Twolevel Method for Operator Equations in Hilbert Space,
    in "Contributions to Multigrid" ed. bv P.W. Hemker and P. Wesseling, CWI, Amsterdam, (1994).
  • A. Borzi and A. Koubek, On a multi-grid algorithm for the TBA equations,
    in "Multigrid Methods IV", ed. by P.W. Hemker and P. Wesseling, Birkhäuser Verlag, Basel, (1994).

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A few old preprints, technical reports and everything that goes with them

  1. A. Borzì Introduction to Multilevel Methods, Lecture Notes in Mathematics, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1994.
  2. A. Borzi, The Splitting Formulation of Multilevel Methods and Some Applications, technical report NA94/03, Oxford University Computing Laboratory, (1994).
  3. A. Borzi, A cell-faced data structure for the cell-centre discretisation method, technical report CS-0058, AVL LIST GmbH, (1997).
  4. A. Borzì The Development of an Algorithm for the BOOST Modeling of a Perforated Pipe in a Plenum or in a Pipe, Tech. Rep. AST-1999-005, Dr. A. Borzì EDV-Dienstleistung, Graz, 1999.

Special Editions

  1. Alfio Borzì, James Brannick, Francisco Gaspar and Irad Yavneh,
    Special issue in Numerical Mathematics: Theory, Methods and Applications (NM),
    related to the Weizmann Workshop 2013, Numerical Mathematics: Theory, Methods and Applications, 8 (2015).
  2. Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Numerical Linear Algebra with Applications (NLAA),
    related to the European Science Foundation OPTPDE Workshop, 2011,
    Numerical Linear Algebra with Applications, 20 (2013), 539-711.
  3. Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Numerical Mathematics: Theory, Methods and Applications (NMTMA),
    related to the European multigrid conference, EMG 2010,
    Numerical Mathematics: Theory, Methods and Applications, 5 (2012).
  4. Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Computing and Visualization in Science (CVS),
    related to the European multigrid conference, EMG 2010,
    Computing and Visualization in Science, 14 (2011).

Habilitation Thesis

Multigrid Methods for Optimality SystemsUni Graz, 2003.

PhD Thesis

New Aspects of Multilevel Methods and Some Applications,
SISSA - Trieste, 1993. (Supervis. A. Lanza)

Master Thesis

  1. Sulla Applicazione Rigorosa in Fisica del Calcolo Variazionale,
    Universita' di Catania, 1988. (Supervis. G. Fonte)
  2. Fourier Spectral Methods for Soliton Equations,
    SISSA - Trieste,1990. (Supervis. A. Quarteroni)

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Projekte

Projektpartner - Project Partners:
Prof. Dr. Bernadette Hahn (Verbundkoordinatorin) – Lehrstuhl OIP Inverse Probleme , Universität Stuttgart
Prof. Dr. Alfio Borzì – Lehrstuhl für Wissenschaftliches Rechnen, JMU Würzburg
Prof. Dr. Andreas Maier, Lehrstuhl für Mustererkennung, FAU Erlangen-Nürnberg
Prof. Dr. Herbert Köstler und Priv.-Doz. Dr. Tobias Wech, Experimentelle Radiologie, Universitätsklinikum Würzburg
Prof. Dr. Thorsten Bley, Institut für Diagnostische und Interventionelle Radiologie, Universitätsklinikum Würzburg
Dr. Moritz Berger, Siemens Healthcare GmbH, Erlangen
Prof. Dr. Karsten König und Dr. Andreas Schindele, JenLab GmbH, Berlin

Laufzeit: - Project period: 04.2020 - 03.2023
Förderinstitution: - Funding institution: Bundesministerium für Bildung und Forschung (BMBF)
Genehmigungssumme - Funding amount: 260.000,00 €
Genehmigungsdatum - Granting date: 11.2019
Förderkennzeichen - Funding number: 05M20WWB

Projektbeschreibung:
Das Projekt untersucht den Einsatz und die Weiterentwicklung von Methoden des maschinellen Lernens zur MR-Bildrekonstruktion und zur Klassifikation von Leberläsionen. Basierend auf einem Vergleichsmodell und datengetriebenen Bildrekonstruktionsmethoden sollen diese systematisch verknüpft werden, um eine hohe Beschleunigung zu ermöglichen, ohne den diagnostischen Wert zu beeinträchtigen. Neben der Gestaltung geeigneter Netzwerke soll auch untersucht werden, ob Metadaten (z.B. Alter des Patienten) in die Rekonstruktion einbezogen werden können.
Darüber hinaus sollen geeignete Klassifikationsalgorithmen auf einer Bildbasis entwickelt und das Potential einer direkten Klassifikation auf den Rohdaten untersucht werden. Langfristig kann eine intelligente MR-Diagnostik die Effizienz des Einsatzes von MR-Hardware deutlich erhöhen, eine bessere Patientenversorgung gewährleisten und neue Impulse in der Medizintechnik setzen.

Projekt Website

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Projektleiter - Project Manager: Prof. Dr. Alfio Borzì
Beteiligte Wissenschaftlerinnen und Wissenschaftler - Participating scientists: Prof. Dr. Abderrahmane Habbal
Laufzeit - Project period: 01.2018 - 12.2018
Förderinstitution - Funding institution: Bayerisch-Französisches Hochschulzentrum (BFHZ)
Genehmigungssumme - Funding amount: 1.845,00 €
Genehmigungsdatum - Granting date: 23.01.2018
Förderkennzeichen - Funding number: FK32-17

Projektbeschreibung:
The purpose of this project is the formulation and application of a new mathematical framework for modeling avoidance and/or catching in multi-agents motion in the framework of differential Games with stochastic processes and related Fokker-Planck equations. This project has manifold application as the simulation of motion of multiple agents (individuals, robots, intelligent vehicles, etc.) in a given space (e.g. an exposition hall) and its use to improve design of motion areas to, e.g., facilitate evacuation, manoeuvering, delivering, intercept, etc.. In particular, we refer to the ongoing research and development efforts in the automotive industry to construct autonomous (also driver-less) cars that assist in safe navigation and traffic management. This project would like to contribute to these efforts with the modelling of car-to-car avoidance of collision and catching, where the latter situation may occur in the case of pack delivery or intercept by a polices car. The leading concept of this project is to model decision-making control for collision avoidance or meeting as a Nash game. In this framework, the dynamics of each agent is modelled by a differential equation and to each agent is associated an objective of its motion; for example reach the desired destination with a minimal effort. The second basic concept of our project is to assume a stochastic dynamics of the agents to take into account random variability and uncertainty in the data. Mathematically, the two concepts mentioned above result in the formulation of Nash games governed by multiple Fokker-Planck (FP) partial differential equations where the control mechanism models the agent (as a player) strategy to solve the game. This project is very innovative for its modelling and application aspects, and also from a fundamental mathematical point of view. In fact, the theoretical and numerical investigation of FP Nash games in combination with different agents objectives and different game strategies is novel and would produce important outcomes for many mathematical fields of research. The successful realization of this project relies on preliminary work done by the French and German partners in the field of the FP Nash games for modelling two-pedestrian motion. This project also aims to extend the results of preliminary work to multiple agents and different classes of Nash games.

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Projektpartner - Project Partners:
BU Wuppertal (Matthias Ehrhardt), Applied Mathematics and Numerical Analysis, University of Wuppertal, Germany.
CU Bratislava (Daniel Sevcovic), Department of Applied Mathematics and Statistics, Comenius University, Bratislava, Slovakia.
UP Valencia (Lucas Jódar), Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain.
U Rousse (Lyuben G. Vulkov), Department of Numerical Analysis and Statistics, Ruse University Angel Kanchev, Ruse, Bulgaria.
ISEG Lisboa (Maria do Rosario Grossinho), Instituto Superior de Economia e Gestão (ISEG), Lisbon, Portugal.
UA Zittau ( Ljudmila Bordag), Fakultät Mathematik/Naturwissenschaften, Hochschule Zittau/Görlitz, Germany.
TU Wien  (Ansgar Jüngel), Institute for Analysis and Scientific Computing, TU Wien, Vienna, Austria.
TU Delft (Kees Oosterlee), Delft Institute of Applied Mathematics (DIAM), TU Delft, The Netherlands.
U Greenwich  (Choi-Hong Lai), School of Computing and Mathematical Sciences, University of Greenwich, Greenwich, London, UK.
U Würzburg  (Alfio Borzi), Lehrstuhl für Mathematik IX (Chair Scientific Computing), University of Würzburg, Germany.
U Antwerp  (Karel in 't Hout), Department of Mathematics and Computer Science, University of Antwerp, Belgium.

Projektteam - Local Research Team:
Prof. Dr. Alfio Borzi
Dr. Stephan Schmidt
Beatrice Gaviraghi
Dr. Masoumeh Mohammadi
Dr. Suttida Wongkaew

Laufzeit: - Project period: 01.2013 - 12.2016
Förderinstitution - Funding institution: Marie Curie Actions, Initial Training Networks (ITN)
Genehmigungssumme - Funding amount: 3,6 Mio. € (Uni Würzburg: 225.000 €)
Genehmigungsdatum - Granting date: 10.2012
Förderkennzeichen - Funding number: 304617
Multi-ITN STRIKE Website: www.itn-strike.eu

Projektbeschreibung:
The computational complexity of mathematical models employed in financial mathematics has witnessed a tremendous growth that requires the development of advanced numerical techniques appropriate for the most present-day applications in financial industry. Besides a series of internationally recognized researchers from academics, leading quantitative analysts from the financial industry also participate in this network. The challenge lies in the necessity of combining transferable techniques and skills such as mathematical analysis, sophisticated numerical methods and stochastic simulation methods with deep qualitative and quantitative understanding of mathematical models arising from financial markets. The main training objective is to prepare, at the highest possible level, young researchers with a broad scope of scientific knowledge, in particular computational finance, and to teach transferable skills, like social awareness which is very important in view of the recent financial crises. In this research training network our aim is to deeper understand complex nonlinear financial models and to develop effective and robust numerical schemes for solving problems arising from the mathematical theory of pricing financial derivatives and related financial products. This aim will be accomplished by means of financial modeling, mathematical analysis and numerical simulations, optimal control techniques and validation of models. Within the ITN Strike Network, the Chair of Scientific Computing in Würzburg is responsible for the investigation of new robust and efficient optimal control techniques for financial market models.

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Projektpartner - Project Partners:
Universität Trier  (Volker Schulz), FB IV, Mathematik, University of Trier, Germany.
Hochschule Geisenheim i.G.  (Kai Velten), Modellierung und Systemanalyse am Zentrum für Weinforschung und Verfahrenstechnologie der Getränke, University of Geisenheim, Germany.
JMU Würzburg   (Alfio Borzi), Lehrstuhl für Mathematik IX (Chair Scientific Computing), University of Würzburg, Germany.

Laufzeit: - Project period: 07.2013 - 06.2017
Förderinstitution: - Funding institution: Bundesministerium für Bildung und Forschung
Genehmigungssumme - Funding amount: 315.000,00 €
Genehmigungsdatum - Granting date: 06.2013
Förderkennzeichen - Funding number: 05M13WWA

Projektbeschreibung:
Gärung spielt als grundlegender biochemischer Prozess in vielfältigen technologischen Prozessen eine herausragende Rolle. In diesem Projekt sollen Gärprozesse bei der Produktion von Biogas und Wein räumlich und zeitlich detailliert modelliert und simuliert werden. Durch die kombinierte Untersuchung der Biogas- und der Weinproduktion ist es möglich, Synergieeffekte zu nutzen, da die leichter kontrollierbare Weingärung als Prototyp für die komplexere Biogasgärung betrachtet werden kann. Die Modelle werden basierend auf einem gemeinsamen generischen Grundmodell entwickelt mit dem Ziel, die Prozesse v.a. hinsichtlich des thermischen Energieaufwands zu optimieren, wobei produktspezifische Aspekte wie Gasausbeute (Biogas) oder Aromaprofil (Wein) berücksichtigt werden. Damit gehört dieses Projekt zum Bedarfsfeld Klima/Energie der Hightech-Strategie der Bundesregierung.

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Projektpartner - Project Partners:
Priv.-Doz. Dr. med. Christoph Isbert, Stellvertretender Klinikdirektor der Klinik & Poliklinik für Allgemein- und Viszeralchirurgie, Gefäß- und Kinderchirurgie, Universitätsklinikum Würzburg
Prof. Dr. Herbert Köstler, Institut für Röntgendiagnostik, Universität Würzburg
Prof. Dr. Alfio Borzì, Lehrstuhl für Wissenschaftliches Rechnen, Universität Würzburg
Laufzeit: - Project period: 01.2013 - 12.2015
Förderinstitution - Funding institution: IZKF (Interdisziplinäres Zentrum für Klinische Forschung) der Universität Würzburg
Genehmigungssumme - Funding amount: 358.000 € gesamt (Anteil Borzì: 132.000 €)
Genehmigungsdatum - Granting date: 10.2012
Förderkennzeichen - Funding number: F-254

Projektbeschreibung:
The aim of this project is to develop a dynamic 3D MR with high temporal and spatial resolution, to evaluate the impact of intus susception in an ex vivo model for the clinical outlet obstruction, and to validate these data by patient data. In this project techniques for the acquisition and reconstruction of 3D MR images will be developed. To this end, accelerated MR sequences will be developed by using parallel imaging and methods including prior knowledge (compressed sensing) as well as reconstruction techniques for these dynamic 3D MR images using multigrid schemes for clinical acceptable reconstruction times. This research work will be carried out promoting a joint interdisciplinary collaboration between the Institut für Mathematik, the Institut für Röntgendiagnostik, and the Klinik für Allgemein-, Viszeral-, Gefäß- und Kinderchirurgie, Universitätsklinikum Würzburg.

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Projektleiter: Alfio Borzi, Lehrstuhl für Mathematik IX (Chair Scientific Computing), University of Würzburg, Germany.
Beteiligte Wissenschaftlerinnen und Wissenschaftler - Participating scientists: Prof. Dr. Uwe Helmke

Laufzeit: - Project period: 10.2011 - 10.2014
Förderinstitution: - Funding institution: DFG
Genehmigungssumme - Funding amount: 185.000,00 €
Genehmigungsdatum - Granting date: 25.10.2011
Förderkennzeichen - Funding number: Bo3580/2-1

Projektbeschreibung:
The goal to achieve full control on complex, high-dimensional quantum systems in an optimal manner poses new challenges for system and control theory. The issue is of paramount importance for the development of future key technologies, such as quantum computing, quantum communication and the manipulation of nanosystems. New challenges arise if the interaction structure is fully taken into account to enable new control strategies. This research project aims at achieving a fundamental understanding of controllability properties and optimal control strategies for finite-dimensional interacting quantum dynamical systems, where structural properties arising from the global tensor product structure of the state spaces will play a crucial role. Our methods will combine techniques from nonlinear control, Lie group theory, and optimal control on function spaces.

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Lehre

Download Teaching Portfolio

Sommersemester 2024:

Numerik großer Gleichungssysteme (A. Borzi)
4 St., Mo 12-14, Mi 14-16 SE 30

Übungen zur Numerik großer Gleichungssysteme (A. Borzi)
2 St., Di 8-10, CIP-Pool S1.103

Arbeitsgemeinschaft Theory and Implementation of Machine Learning Algorithms (A. Borzi)
4 St., Di 10-12 SE 40, Fr 10-12 S1.101

Oberseminar Wissenschaftliches Rechnen, 2 St. nach Vereinbarung (A. Borzi, F. Werner)

WISE 2023/24:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Übungen zu Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Kinetic Theory and Transport Problems (Mathematische Kontinuumsmechanik) (A. Borzi)
Oberseminar Wissenschaftliches Rechnen (A. Borzi, F. Werner)

SOSE 2023:

Numerik großer Gleichungssysteme (A. Borzi)
Übungen zur Numerik großer Gleichungssysteme (A. Borzi, N. Vater)
Arbeitsgemeinschaft Theory and Implementation of Machine Learning Algorithms (A. Borzi)
Oberseminar Wissenschaftliches Rechnen,  (A. Borzi, F. Werner)

WISE 2022/23:

Optimale Steuerung (A. Borzi)
Übungen zu Optimale Steuerung (A. Borzi)
Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Übungen zu Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Arbeitsgemeinschaft Theory and Implementation of Deep Learning algorithms (A. Borzi)

SOSE 2022:

Numerik großer Gleichungssysteme (A. Borzi)
Übungen zur Numerik großer Gleichungssysteme (A. Borzi)
Arbeitsgemeinschaft Theory and Implementation of Deep Learning algorithms (A. Borzi)

WISE 2021/22:

Freisemester (A. Borzi)

SOSE 2020:

Numerik großer Gleichungssysteme (A. Borzi)
Übungen zur Numerik großer Gleichungssysteme (A. Borzi/ F. Cala Campana)
Arbeitsgemeinschaft Theory and Implementation of Deep Learning algorithms (A. Borzi)

WISE 2020/21:

Gewöhnliche Differentialgleichungen (A. Borzi)
Übungen zu Gewöhnliche Differentialgleichungen (A. Borzi)
Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Übungen zu Modellierung und Wissenschaftliches Rechnen (A. Borzi)

SOSE 2020:

Partielle Differentialgleichungen der Mathematischen Physik (A. Borzi)
Übungen zu Partielle Differentialgleichungen der Mathematischen Physik (A. Borzi)
Seminar Optimierung (A. Borzi)

WISE 2019/20:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Numerik partieller Differentialgleichungen (A. Borzi)

SOSE 2019:

Optimale Steuerung (A. Borzi)
Seminar Optimierung (A. Borzi)
Seminar Wissenschaftliches Rechnen (Neural Networks, Deep Learning) (A. Borzi)
Arbeitsgemeinschaft Wissenschaftliches Rechnen (A. Borzi)
(Simulation of Evolution Models: Lattice-Boltzmann, Boltzmann, Fokker-Planck, Bio-Chemical Reaction Diffusion, Turing Morphogenesis)

WISE 2018/19:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Nichtlineare Analysis (A. Borzi)

SOSE 2018:

Freisemester (A. Borzi)

WISE 2017/18:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Numerik partieller Differentialgleichungen (A. Borzi)

SOSE 2017:

Analysis 2 (A. Borzi)

WISE 2016/17:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Analysis 1 (A. Borzi)

SOSE 2016:

Gewöhnliche Differentialgleichungen (A. Borzi)
Seminar Simulation und Optimierung mit Differentialgleichungen (A. Borzi)
Arbeitsgemeinschaft Wissenschaftliches Rechnen (A. Borzi)

WISE 2015-16:

Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Numerik für die optimale Steuerung von Modellen mit Differentialgleichungen (A. Borzi)

SOSE 2015:

Simulation und Optimale Steuerung von Quanten- und Stochastischen Systemen (A. Borzi)
Seminar Simulation und Optimierung mit Differentialgleichungen (A. Borzi)
Arbeitsgemeinschaft Wissenschaftliches Rechnen (A. Borzi)

WISE 2014-15:

Numerik partieller Differentialgleichungen (A. Borzi)

SOSE 2014:

Angewandte Analysis (A. Borzi)
Seminar Differentialgleichungen (A. Borzi)

WISE 2013-14:

Numerik partieller Differentialgleichungen (A. Borzi)
Modellierung und Wissenschaftliches Rechnen (A. Borzi)
Seminar Simulation und Optimierung mit Differentialgleichungen (A. Borzi)
Arbeitsgemeinschaft Multilevel Verfahren (A. Borzi)

SOSE 2013:

Freisemester (A. Borzi)

WISE 2012-13:

Analysis II (A. Borzì)
Modellierung und Wissenschaftliches Rechnen (A. Borzì)
Seminar Simulation und Optimierung mit Differentialgleichungen (A. Borzì)

SOSE 2012:

Analysis I, 4 St., Mi, Do 10-12, HS 2 (A. Borzì)
Multigrid-Methoden für Simulation und Optimierung (Modul Numerik großer Gleichungssysteme) (A. Borzì)

WISE 2011-12:

Modellierung und Wissenschaftliches Rechnen (A. Borzì)
Numerik partieller Differentialgleichungen (A. Borzì)

SOSE 2011:

Operations Research (A. Borzì)
Reading Course Operations Research (A. Borzì)
Seminar Partielle Differentialgleichungen (A. Borzì)

1998-2010

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Betreute Abschlussarbeiten

  • Theoretical and numerical analysis of Fokker-Planck optimal control problems by first- and second-order optimality conditions, Jacob Körner (04/2024)
  • Theoretical and numerical investigation of optimal control problems governed by kinetic models, Jan Bartsch (09/ 2021)
  • Numerical methods for solving openloop non zero-sum differential Nash games, F. Calà Campana (07/2021)
  • A sequential quadratic Hamiltonian scheme for solving optimal control problems with non-smooth cost functionals,T. Breitenbach (06/2019)
  • On Multigrid and Η-Matrix Methods for Partial Integro-Differential Equations, D. Kioi Gathungu (12/2017)
  • A Theoretical and Numerical Analysis of a Kohn-Sham Equation and Related Control Problems, M. Sprengel (08/2017)
  • Theoretical and numerical analysis of Fokker-Planck optimal control problems for jump-diffusion processes, B. Gaviraghi (03/2017)
  • Optimal Control and Function Identification in Biological Processes, J. Merger, (10/2016)
  • Proximal methods in medical image reconstruction and in nonsmooth optimal control of partial differential equations, A. Schindele, (07/2016)
  • On the optimal control through leadership of multi-agent systems, S. Wongkaew (10/2015)
  • Optimal control of quantum spin systems, G. Ciaramella (07/2015)
  • Discretization of the Fokker-Planck equation and related control systems, M. Mohammadi (02/2015)
  • Formulation and Multigrid Solution of Cauchy-Riemann Optimal Control Problems, M. Munir Butt, Univ. Graz (07/2011)
  • Multigrid Optimization Methods for Elliptic Optimal Control Problems, M. Vallejos, Univ. Graz (09/2008)

Ongoing:

  • Multilevel multiscale convolutional neural networks, Nadja Vater (ongoing)
  • Probabilistic methodologies for neural networks, Sebastian Hofmann (ongoing)

  • Multigrid methods for least squares problems in tomographic image reconstruction, Emanuel Pfarr (2023)
  • A recurrent neural network to approximate Koopman operators with application to oscillatory systems, Jonas Doré (2023)
  • Bildrekonstruktionseigenschaften bei modell- und datengetriebener Regularisierung zur Lösung schlecht gestellter inverser Probleme in der Magnetresonanztomographie, Katja Lauer (2022)
  • Segmentation by weighted aggregation, Anna Rauch (01/2022)
  • Parameter Optimization of Neural Networks with Differential Evolution\\for Image Analysis, Kristina Meth (10/2021).
  • Synchronization of Kuramoto and FitzHugh-Nagumo Networks, Melissa Finster, (09/2021).
  • Ecosystem models and social balance from a synchronization perspective, Hannah Weinmann, (09/2021).
  • Optimal design with Liouville equation for optical systems, Sarah Winkelmann (03/2021).
  • Sequential quadratic Hamiltonian schemes for training Runge-Kutta structured neural networks , Sebastian Hofmann (02/2021)
  • The Pontryagin maximum principle for solving Liouville optimal control problems , Max Steinlein (09/2020)
  • Continious Models of Pulse-coupled Neural Networks for Image Segmentation, Jonas Kleineisel (08/2020)
  • A FEM-SQH Framework for Solving Elliptic Optimization Problems , Nico Nees (07/2020)
  • On the SSN and SQH methods for solving non-smooth optimal control problems , Andreas Seufert (05/2020)
  • Nested Iteration for Approximation with Neural Networks, Nadja Henning (08/2019)
  • Optimal control problems governed by Liouville models - Mathematical analysis and implementation, Jan Bartsch (04/2018)
  • On the optimal control of a new cancer therapy model, M. Kienle Garrido (07/2017)
  • A Mathematical Investigation of a New Lorentz-covariant Heat Conduction Model, L. Schäfer (03/2017)
  • Analysis of discretization of a modified Crank-Nicolson scheme for quantum optimal control problems, M. Herrmann (07/2016)
  • Stability and accuracy of a pseudospectral scheme for the Wigner function equation, A. Thomann (10/2015)
  • Formulation and numerical solution of an eigenvalue optimization problem, T. Breitenbach (07/2015)
  • Formulation and investigation of a new stochastic hybrid system for subtilin production and the corresponding Fokker-Planck equation, V. Thalhofer (01/2015)
  • A numerical approach for solving a Fokker-Planck controllability problem, Univ. Würzburg, T. Fischer 01/2015)
  • Efficient algorithms for detection of particles and filaments, F. Beislein (05/2014)
  • The numerical solution of elliptic integro-differential equations with applications, A. Klüber (01/2014)
  • Investigation of a Robust Single Particle Tracking Algorithm, J. Kwasny (11/2013)
  • Optimal Control of Spin Systems using Newton's Method and Symplectic Discretization, M. Götz (11/2013)
  • A Lie algebraic and numeric investigation of the Black-Scholes equation with Heston volatility model, J. Merger (10/2013)
  • Two Efficient Methods for Optimal Control of a Mass Transport Problem, L. Radnai (10/2012)
  • An Adjoint-Based Optimization Scheme For Solving Time-Domain Electromagnetic Inverse Scattering Problems, R. Mancini (110/110 cum Laude, 10/2009)
  • A Bayesian Sequential Probing Method to Electromagnetic Inverse Problems, D. Russo, Univ. Sannio (110/110 cum Laude, 09/2009)
  • Spectral Methods for Schrödinger Equation,  E. Decker, Univ. Graz (2005)

Ongoing:

  • Simulation and optimization of cocoa beans fermentation, Y. Fleuriot (09/2022)
  • Über einen Algorithmus für Stereovision, K. Schneider (01/2017)
  • Optimal Control of Androgen Suppression for Prostate Cancer, Jan Bartsch (09/2016)
  • Ein mathematisches Modell zur radiologischen Behandlung von Tumorzellen unter Berücksichtigung stochastischer Störeinflüsse, M. Krauß (04/2014)
  • Ein mathematisches Modell des Tumorzellwachstums, Christoph Y. Schwemin (01/2014)
  • Die Numerische Simulation von Pilzmyzel Wachstsum mit Reaktions-Diffusions Gleichungen, A. Thomann (09/2013)
  • Stochastische Modellierung von Weingärung, S. Juschkat (02/2013)
  • Optimale Steuerung von Bloch Systemen mit symplektischer Diskretisierung, V. Thalhofer (09/2012)
  • Berechnung des optischen Flusses mit der Horn-Shunck-Methode und der Methode von Kazufimo Ito, F. Gabel (08/2012)
  • Die Fokker-Planck Steuerungsmethode für eindimensionale stochastische Prozesse, C. Müller (12/2011)

Weitere Informationen

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Education 

  • 1983 Technical Aeronautical High School, Catania, Italy
  • 1988 Master of Science (Laurea) in Physics, University of Catania, Catania, Italy.
    (Title: Sulla Applicazione Rigorosa in Fisica del Calcolo Variazionale - On rigorous application of variational calculus in physics)
  • 1990 Master Philosophy (M.Ph.) in Mathematics, SISSA/ISAS-International School for Advanced Studies, Trieste.
    (Title: Fourier Spectral Methods for Soliton Equations)
  • 1993 Doctor Philosophy (Ph.D.) in Mathematics, SISSA/ISAS-International School for Advanced Studies, Trieste.
    (Title: New Aspects of Multilevel Methods and Some Applications)
  • 2003 Habilitation at Karl-Franzens-University Graz, 2003.
    (Title: Multigrid Methods for Optimality Systems)

Professional development

  • 2011 Full Professor, Chair Scientific Computing, Institute for Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074 Würzburg, Germany.
  • 2008 Associate Professor, Facoltà di Ingegneria, Università degli Studi del Sannio, Corso Garibaldi 107, 82100 Benevento, Italy.
  • 2003 Associate Professor, Institute for Mathematics and Scientific Computing, Karl-Franzens-University Graz, Heinrichstr. 36, 8010 Graz, Austria.
  • 1998 Assistant Professor, Institute for Mathematics and Scientific Computing, Karl-Franzens-University Graz, Heinrichstr. 36, 8010 Graz, Austria.
  • 1998 Consultant, Office for technical Simulation, Graz, Austria.
  • 1997 Research Engineer, AVL List GmbH, Graz, Austria.
  • 1996 IT System-manager, SPAR AG, Salzburg, Austria.
  • 1993 Research Officer, Oxford University Computing Laboratory, Oxford, UK.
  • 1991 Italian Air Force Officer, Centro Nazionale di Meteorologia e Climatologia, CNMCA, Roma.

  • Dec. 2023, Ensemble optimal control problems governed by Boltzmann models, Scuola Superiore Meridionale, Napoli, Italy.
  • Nov. 2023, A Monte Carlo approach to control and stabilization of a linear kinetic model, Workshop on Applied Mathematics: Quantum and Classical Models, WAMQCM2023, Villa Ruspoli, Firenze, Italy.
  • Sep. 2023, The Sequential Quadratic Hamiltonian Method,
    European Conference on Computational Optimization (EUCCO), Heidelberg, Germany.
  • Sep. 2023, Formulation and Monte Carlo Solution of Linear Kinetic Optimal Control Problems,
    Department of Mathematics, University of Roma II Tor Vergata, Italy.
  • Mai 2023, Quantum models and optimal control problems,
    Simula Research Laboratory, Oslo, Norway (Online)
  • Sep. 2022, Ensemble optimal control of kinetic models, invited talk at the Conference on Mathematical Data Science, Control and Optimization in Graz Österreich vom 30.09.-01.10.2022
  • Sep. 2022, Quantum control problems: from one particle dynamics to TD-DFT, Department of Mathematics and Informatics, University of Firenze, Italy
  • Sep. 2022, Optimal control of deterministic and stochastic models, Dipartimento di Fisica, University of Salerno, Italy
  • Aug. 2022, Preconditioning techniques and twolevel strategies for machine learning, plenary talk at the International Multigrid Conference (IMG2022) in Lugano, Switzerland
  • Jul. 2022, Ensemble optimal control of kinetic models, Department of Mathematics and Informatics, University of Catania, Italy
  • Jul. 2022, Quantum control problems: from one particle dynamics to TD-DFT, Dipartimento di Matematica e Informatica, Universiy of Calabria (COSENZA), Italy
  • Jan. 2022, The Pontryagin maximum principle and the training of Runge-Kutta neural networks, Department of Mathematics and Physics, University of Caserta, Italy.
  • Jan. 2022, The Pontryagin maximum principle and the training of Runge-Kutta neural networks, MOX Seminars Series, Department of Mathematics, Politecnico di Milano, Italy.
  • Dec. 2021, The Pontryagin maximum principle and the training of Runge-Kutta neural networks, Department of Mathematics and Informatics, University of Catania, Italy.
  • Nov. 2021, Super-resolution fluorescence microscopy and a mean-field Fokker-Planck equation for the reconstruction of a cell membrane potential, Facoltà di scienze informatiche, Università della Svizzera italiana, Lugano, Switzerland.
  • Nov. 2021, Super-resolution fluorescence microscopy and a mean-field Fokker-Planck equation for the reconstruction of a cell membrane potential, Department of Mathematics and Informatics, University of Firenze, Italy.
  • Aug.-Sept. 2021, On ensemble optimal control problems with deterministic and stochastic kinetic models, SIMAI 2020+2021 Congress, Parma, Italy.
  • Aug.-Sept. 2021, A new method to compute optimal relaxed controls, Minisyposium Nonsmoothness in PDE constrained optimization and variational inequalities, part of the 29th IFIP TC7 Conference on System Modelling and Optimization, Quito, Ecuador (Online)
  • July 2021, Super-resolution microscopy and mean-field Fokker-Planck equations for the reconstruction of cell membrane potentials, Department of Mathematics and Informatics, University of Catania, 30.07.2021, Catania, Italy.
  • July 2021, On solving dynamical Nash games using the Pontryagin maximum principle, SIAM Conference on Optimization (OP21), Spokane, Washington, U.S. (Online)
  • April 2021, Continuity equations and super-resolution microscopy for the reconstruction of a cell membrane potential, Lomonosov State University and the Institute of Numerical Mathematics (INM) at the Steklov Institute of Mathematics, Moscow, Russia. (Online)
  • October 2020, The sequential quadratic Hamiltonian scheme solving challenging optimal control problems, MODEMAT, Escuela Politécnica Nacional, Quito, Ecuador. (Online)
  • October 2020, The Liouville equation, its extensions, and related optimal control problems, Universität Basel, Switzerland. (Online)
  • March 2020, On ensemble optimal control problems governed by Liouville, Fokker-Planck and linear Boltzmann equations - A workshop to celebrate the 50th anniversary of applied mathematics at the FAU Erlangen Nürnberg, Germany.
  • October 2019, A sequential quadratic Hamiltonian scheme for solving optimal control problems with non-smooth cost functionals, Workshop “New trends in PDE constrained optimization”, RICAM, Linz, Austria.
  • October 2019, Optimal control problems with random and stochastic models, Autumn School 2019, DFG Research Training Group 2126 - Algorithmic Optimization -, University of Trier, Trier, Germany.
  • September 2019, Optimal control of the Keilson-Storer master equation, Department of Mathematics and Informatics, University of Catania, 02.09.2019, Catania, Italy.
  • July 2019, On differential games with bilinear structure - a general framework for modelling pedestrians’ motion -, Minisymposium “Novel Concepts in Model-driven Optimization and Control of Agent-based Systems”, ICIAM 2019, 15.07-19.07.2019, Universidad de Valencia, Spain.
  • May 2019, Zufall und Spiele beim Spazierengehen, Kinderuni Weil der Stadt, 16.05.2019, Weil der Stadt, Germany.
  • April 2019, On the modelling of particle and pedestrian motion with Fokker-Planck equations, MOX Seminars Series, Department of Mathematics, Politecnico di Milano, Milano, Italy.
  • February 2019, On the modelling of particle and pedestrian motion with Fokker-Planck equations, Department of Mathematics, Imperial College London, London, UK.
  • July 2018, On the optimal control of a Kohn-Sham quantum model, Workshop PRACQSYS 2018: Principles and Applications of Control in Quantum Systems, Henri Poincarè Institute, Paris, France.
  • June 2018, From Brownian to pedestrian motion and Fokker-Planck Nash games, Lothar-Collatz-Kolloquium für Angewandte Mathematik, Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany.
  • April 2018, From Brownian to pedestrian motion and Fokker-Planck Nash games, Lomonosov State University, Moscow, Russia.
  • November 2017, From Brownian motion to pedestrian avoidance, Mathematisches und Mathematikdidaktisches Kolloquium, Universität Oldenburg, Oldenburg, Germany.
  • June 2017, On the solution of some PDE control problems in the framework of the Pontryagin’ s maximum principle, Workshop INDAM ’Numerical methods for optimal control problems: algorithms, analysis and applications’, Rome, Italy.
  • October 2017, On a Fokker-Planck Nash game to model pedestrian motion, Schwerpunktskolloquium, University of Konstanz, Germany.
  • 2017 Feb. Fast iterative schemes for solving PDE control problems with the Pontryaginàs maximum principle, Institute of Numerical Mathematics (INM) at Steklov Institut of Mathematics, Moscow.
  • 2016 Nov. Analysis of a pseudospectral scheme for the Wigner function equation, Workshop Mathematical Models for Quantum and Classical Mechanics, SEMODAY 2016, Nov. 17-18, 2016, Florence, Italy.
  • 2016 Sept. On a time-dependent Kohn-Sham equation and related optimal control problems, CECAM Workshop Numerical methods for optimal control of open quantum systems, Sept. 26-28, 2016, FU Berlin, Berlin, Germany.
  • 2016 Sept. Some recent advances in the modelling and numerical solution of quantum control problems, Centro Interdipartimentale di Matematica per la Tecnologia (CIMAT), University of Catania, Sep. 1, 2016, Catania, Italy.
  • 2015 Jan. Advances in the numerical solution of quantum control problems, Workshop Quantum Cybernetics & Control 2015 (QCC2015), Jan. 19-23, 2015, Nottingham, UK.
  • 2014 Sept. A Fokker-Planck strategy to control stochastic processes, Marian Smoluchowski Symposium on Statistical Physics, Sept. 22-26, 2014, Zakopane, Poland.
  • 2014 June Talk 1: Newton methods for the optimal control of closed quantum spin systems; Talk 2: A Fokker-Planck Strategy to Control Stochastic Processes, ECMI 2014, The 18th European Conference on Mathematics for Industry, June 9 - 13, 2014, Taormina, Italy.
  • 2014 April. A Fokker-Planck Strategy to Control Stochastic Processes, Kolloquium, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz.
  • 2014 März Challenges in the Numerical Analysis and Solution of PDE Optimality Systems, Institute of Numerical Mathematics, TU Dresden.
  • 2014 März A Fokker-Planck-Kolmogorov Control Framework for Stochastic Processes, Lomonosov State University and Steklov Institut of Mathematics, Moscow.
  • 2013 Dez. A Fokker-Planck-Kolmogorov Control Framework for Stochastic Processes, Dipartimento di Matematica, Universita di Catania, Dezember 2013.
  • 2013 Sept. Multigrid shape optimization governed by elliptic PDEs, Workshop in New Trends in Shape Optimization, Erlangen, September 2013.
  • 2013 Jun. A Fokker-Planck Strategy for the Optimal Control of Stochastic Processes, Workshop 'Nonlinear Optimization: a Bridge from Theory to Applications', June 10 - 17, 2013, International School of Mathematics "G. Stampacchia", Erice, Italy.
  • 2013 Jun. Fast and Accurate Computational Methods for Quantum Control Problems, W.E. Heraeus Seminar on Optimal Control of Quantum Systems, Physikzentrum Bad Honnef.
  • 2013 Mai Multigrid, sparse-grids, and model reduction for PDE optimization with uncertainty, Weizmann Workshop 2013 on Multilevel computational methods and optimization, The Weizmann Institute of Science, April 30 - May 02, 2013, Rehovot, Israel.
  • 2013 Mai  A Fokker-Planck-Kolmogorov control framework for stochastic processes, Workshop "Numerical Methods for Uncertainty Quantification", May 13-17, 2013, Hausdorff Center for Mathematics, Bonn, Germany.
  • 2013 März A Fokker-Planck-Kolmogorov Strategy for Controlling Stochastic Processes, Ecole Nationale Supérieure des Mines, Paris, France.
  • 2013 Jan. An Optimal Control Strategy for Probability Density Functions of Stochastic Processes and Piecewise Deterministic Processes, Mathematisches Kolloquium, Univ. Bayreuth, Germany.
  • 2012 Aug. Fast multigrid solution of parabolic bilinear optimization problems, European Multigrid Conference EMG2012, 2012 Schloss Schwetzingen, Germany.
  • 2012 Jul. On a Fokker-Planck approach to control open quantum systems, 20th Conference on Nonlinear Sciences Juli 11-13, 2012 - Wolfenbüttel, Germany.
  • 2012 März Formulation and multigrid solution of Cauchy-Riemann optimal control problems, OCIP 2012, Tech. Univ. München, Germany.
  • 2012 Feb. Optimal Control of Bloch Systems, MATHMOD Conference, Vienna, Austria.
  • 2011 Nov. PDE Optimierung unter Unsicherheiten und die Suche nach einer Robusten Steuerung, Mathematisches Kolloquium, Univ. Darmstadt, Germany.
  • 2011 Nov. Computational methodologies for solving quantum optimal control problems, Kolloquium der Physikalischen und Theoretischen Chemie, Univ. Würzburg, Germany.
  • 2011 Okt. A Fokker-Planck control framework for multidimensional stochastic processes, Workshop on Control and Optimization of PDEs, Graz, Austria.
  • 2011 Okt. Modellierung, Simulation und Optimierung im Wissenschaftlichen Rechnen, Antrittsvorlesung, Mathematisches Kolloquium, Univ. Würzburg, Germany.
  • 2011 Sept. Optimal control of Bose-Einstein condensates, Minisymposium "Optimization and Control of Nanosystems I-II", IFIP, Berlin, 2011.
  • 2010 Dez. Advanced Numerical Schemes for Solving Infinite Dimensional Quantum Control Problems , Workshop on Quantum Control, IHP, Paris, Dec. 8-10, 2010, Paris, France.
  • 2010 Jul. Multilevel methods for PDE control problems, Conference ICCAM 2010, July 5-9, 2010, Leuven, Belgium.
  • 2010 Jun. Fast Multigrid and Sparse-Grids Solution of PDE Optimization Problems with Uncertain Coefficients, University of Cologne, Germany.
  • 2010 Jun. 1. Guidelines for the development of multigrid optimization schemes; 2. A fast Newton solution of dipole quantum control problems, Conference SIMAI 2010, June 21-25, 2010, Cagliari, Italy.
  • 2010 Jun. Fast Multigrid and Sparse-Grids Solution of PDE Optimization Problems with Uncertain Coefficients, BCAM, Bilbao, Basque Coutry.
  • 2010 Feb. Theoretical and numerical aspects of quantum control problems, Workshop on ADVANCED METHODS AND PERSPECTIVES IN NONLINEAR OPTIMIZATION AND CONTROL, CERFACS, Toulouse, France.
  • 2009 Dez. Multilevel strategies for solving PDE optimal control problems, Brunel University, Uxbridge, UK.
  • 2009 Nov. Multigrid and stochastic sparse-grids techniques for PDE control problems with random coefficients, Universita di Roma Sapienza, Italy.
  • 2009 Okt. Multigrid methods for pde optimization, Goettingen, Germany.
  • 2009 Jun. Advances in the accurate and efficient solution of quantum optimal control problems, Workshop on PDE Constrained Optimization of Certain and Uncertain Processes 2009 June 3-5, 2009, Trier, Germany.
  • 2009 Mai The multigrid strategy for solving elliptic optimal control problems, MOX, Milano, Italy.
  • 2009 Feb. Multigrid methods for pde optimization, Convegno GNCS, Montecatini, Italy.
  • 2009 Jan. Multigrid and Sparse-Grid Techniques for PDE Control Problems with Random Coefficients, Workshop Numerical Techniques for Optimization Problems with PDE Constraints, MFO Mathematisches Forschungsinstitut Oberwolfach, Germany.
  • 2008 Nov. Industrial mathematics at the University of Sannio,
  • Workshop Simulation methods and products for automotive, aerodynamics and turbulence engineering, November 25, 2008, Benevento, Italy.
  • 2008 Okt. Multigrid methods for pde optimization, EMG 2008, Bad Herrenalb, Germany.
  • 2008 Sept. A multigrid and sparse-grid framework for stochastic optimal control problems, 9th Congress of SIMAI, Roma, Italy.
  • 2008 Sept. Multigrid schemes for steady and time-dependent bilinear control problems, 9th Congress of SIMAI, Roma, Italy.
  • 2008 Jul. Multigrid and Stochastic Sparse-Grid Techniques for Time-Dependent Control Problems with Random Inputs. 5th. European Congress on Computational Methods in Applied Sciences and Engineering (WCCM, ECCOMAS 2008), Venice, Italy.
  • 2008 Jun. Analisi e controllo di sistemi reazione-diffusione con termini cinetici che esibiscono cicli limite periodici, Universita' del Sannio, Benevento, Italy.
  • 2008 Mai Multigrid schemes for optimization problems with bilinear structure, SIAM OP08, Boston, USA.
  • 2008 April New models and techniques for computing optical flows and digital inpainting, Universita' La Sapienza, Roma.
  • 2008 Jan. Multigrid and stochastic sparse-grid techniques for time-dependent control problems with random inputs, University Trier, Germany.
  • 2007 Okt. Woudschoten Conference of the Dutch-Flemish Numerical Analysis Communities, Lectures: (1) Multigrid methods for optimal control problems with PDEs; (2) Multilevel methods for parameter identification problems
  • 2007 Aug. Multilevel schemes for quantum control problems, SISSA, Trieste, Italy.
  • 2007 Jul. Lecture: Multilevel methods in optimization with PDE models, PhD Summer School ‘Optimization and Control with Applications in Modern Technologies’ at Schloss Thurnau, Germany, July 23-27, 2007.
  • 2007 Mai Lecture: Multilevel methods in optimization with PDE models, PhD School Mathematics for Technology at the University of Catania, Italy, Mai 20-26, 2007.
  • 2007 April Metodi multilivello per il controllo di condensati Bose-Einstein, Dept. of Engineering, University of Sannio at Benevento, Italy.
  • 2007 März Multigrid methods for an extended quantum control problem, RICAM, Linz.
  • 2007 Feb. Multigrid schemes for distributed parameter estimation problems with applications to the Helmoholtz equation and the Bose-Einstein transport problem, ICES, University of Texas at Austin.
  • 2007 Feb. New Approaches to Optical Flow and Digital Inpainting, SIAM CS & E 2007 Conference, Costa Mesa, California.
  • 2007 Feb. Multigrid Schemes for Distributed Parameter Estimation Problems, SIAM CS & E 2007 Conference, Costa Mesa, California.
  • 2006 Nov. A multilevel approach to the fast control of evolutionary systems, Centre of Mathematics for Applications, University of Oslo.
  • 2006 Okt. Lecture "Multilevel Methods for Optimization", RICAM, Linz.
  • 2006 Okt. Recent results on quantum optimal control problems: Three-level quantum dots and Bose-Einstein condensates, CERMICS, Paris.
  • 2006 Sept. Numerical Simulation and Optimization in Natural Sciences and Engineering contributions, present work, and perspectives, Bonn, Germany.
  • 2006 Jul. SIAM Annual Meeting 2006. Minisymposium "Multilevel Methods for Optimization and Inverse Problems", July 10-14, Boston.
  • 2006 März GAMM Annual Meeting 2006. Minisymposium "Multigrid methods for optimal control of PDE’s", March 27th - 31st, Berlin.
  • 2006 Feb.-März Bilinear systens and quantum optimal control problems, Math. Inst. Oberwolfach.
  • 2005 Sept. High-order discretization and multigrid solution of constrained optimal control problems Mathematik 2005, University of Klagenfurt, Klagenfurt, Austria, September 18-23, 2005
  • 2005 Sept. On the multigrid solution of optimality systems discretized by higher-order schemes, European Multigrid Conference 2005, Scheveningen The Hague, The Netherlands, September 27-30, 2005
  • 2005 Jul. Convergence analysis of multigrid methods for optimal control problems 22nd IFIP TC 7 Conference on System Modeling and Optimization Turin, Italy, July 18-22, 2005
  • 2005 April Space-time multigrid methods for solving unsteady optimal control problems, 2005 Nov Institut für Numerische Mathematik and RICAM (for special semester) Johannes Kepler Universität Linz, Austria
  • 2005 März Optimization aspects of multigrid methods, GAMM 2005, University of Luxembourg
  • 2005 Feb. Numerical solution of elliptic partial differential equations: Finite difference discretization and multigrid methods, Workshop in Applied Mathematics, University of the Philippines, Diliman, Quezon City
  • 2005 Jan. Optimization aspects of multigrid methods, 16th International Conference on Domain Decomposition Methods, Courant Institute of Mathematical Sciences, New York, USA.
  • 2004 Nov. Towards the fast control of chemical turbulence, cardiac electrical turbulence, and quantum dots, Lehrstuhl für Sensorik, Universität Erlangen, Germany.
  • 2004 Jun. An optimal control approach to compute optical flow, Pixel Club Lecture, Computer Science Department, Technion, Haifa, Israel.
  • 2004 Jun. Space-time multigrid methods for solving unsteady optimal control problems, Colloquia, Computer Science Department, Technion, Haifa, Israel.
  • 2004 Mai Space-time multigrid methods for solving unsteady optimal control problems, Sandia Workshop "Towards Real Time and Online PDE Constrained Optimization", Santa Fe, New Mexico, USA.
  • 2004 März On the implementation of space-time multigrid smoothing schemes, Uni Graz.
  • 2004 Jan. On space-time multigrid solutionof unsteady optimal control problems, Math. Inst. Oberwolfach.
  • 2004 Jan. A multigrid method for elliptic constrained optimal control problems, TU-Berlin.
  • 2003 Dez. Two examples of optimal control problems in physics: Quantum nanostructures and Ginzburg-Landau model, Dipartimento di Fisica e Astronomia, Universita' di Catania, 2003.
  • 2003 Nov. Multigrid methods for optimality systems, Habil Kolloquium, Uni Graz, 2003.
  • 2003 Jun. A new smoothing scheme for the multigrid solution of elliptic constrained optimal control problems, International Workshop on "Numerical and Symbolic Scientific Computing", St. Wolfgang / Strobl.
  • 2003 Jun. On the Optimal Control Formulation of the Optical Flow Problem, SciCADE 2003, Trondheim.
  • 2003 Feb. Theory and practice of geometric and algebraic multigrid methods for elliptic optimality systems, Math. Inst. Oberwolfach.
  • 2003 Jan. Optimal quantum control of generic three-level systems, Univ. Innsbruck.
  • 2003 Jan. On the lambda-omega model for reaction-diffusion systems: Numerical solution and the onset of chemical turbulence, Univ. Innsbruck.
  • 2002 Okt. Algebraic multigrid methods for solving eigenvalue problems, European Multigrid Conf. 2003, Pforzheim.
  • 2002 Okt. An efficient algebraic multigrid method for solving optimality systems, European Multigrid Conf. 2003, Pforzheim.
  • 2002 Juni A control-in-the-coefficients method to solve the hyperbolic optical flow constraint problem, Adv. Nonlinear PDE, Univ. of L’Aquila.
  • 2002 Juni A New Formulation for Optical Flow Computation Without Data Differentiation, Graduiertenkolleg der Univ. Erlangen-Nürnberg.
  • 2002 Jan. Multigrid techniques for distributed nonlinear parabolic optimal control problems, Max-Planck-Institut, Leipzig.
  • 2001 Okt. Multigrid convergence theories: A review. KF Uni Graz.
  • 2001 Aug. An new approach to optical flow computation, KAIST, Taejon, Korea.
  • 2001 Mai Problemi di controllo ottimale e applicazioni, DEES, Catania.
  • 2001 April On the optimal control of chemical turbulence, ICFD Conference on Numerical Methods in Fluid Dynamics, Oxford, UK.
  • 2001 März An Optimal control approach to optical flow computation, ICFD Conf., Oxford.
  • 2000 Okt. Seminartitel: Optimal control for determining optical flow, WIAS, Berlin.
  • 2000 Mai Seminartitel: A multigrid method for optimal control of time-dependent reaction diffusion processes, WIAS, Berlin.
  • 1999 Sept. Seminartitel: A multigrid approach to the optimal control of solid fuel ignition problems, University of Ghent.
  • 1998 Okt Seminartitel: Numerical Methods for Conservation Laws. KF Uni Graz.
  • 1997 März Seminartitel: The FIRE code, OUCL Oxford.
  • 1995 Mai Seminartitel: A new algebraic multigrid method for problems on unstructured grids, OUCL Oxford
  • 1995 Mai Seminartitel: Implementing the algebraic multigrid method using C++ OUCL Oxford
  • 1995 Mai Seminartitel: An introduction to the modern multigrid convergence theory, OUCL Oxford.
  • 1995 April Seminartitel: A full multigrid method for the solution of the cell vertex finite volume Cauchy-Riemann equations, Copper Mountain Conference on Multigrid Methods, Copper Mountain, Boulder, Co.
  • 1994 Nov. Seminartitel: Canonical Variables and Splitting of the Inviscid Euler Equation, VKI Bruxelles
  • 1994 Okt. Seminartitel: Review of solution methods for the Cauchy-Riemann equations; OUCL Oxford
  • 1994 Okt. Seminartitel: Multilevel solution of cell vertex Cauchy-Riemann equations; OUCL Oxford
  • 1994 April "ICFD Workshop", OUCL, Oxford
  • 1994 April Seminartitel: The Splitting Formulation of Multilevel Methods and Some Applications; University of Bath
  • 1994 Jan. Seminartitel: On the Splitting Formulation of Multilevel Methods, OUCL, Oxford
  • 1993 Juli Seminartitel: Burgers' Equation and Multi-Grid Techniques, IV. European Multigrid Conference; CWI Amsterdam
  • 1993 Juli Seminartitel: On the Extension of the Twolevel Method for Operator Equations in Hilbert Space, IV. European Multigrid Conference; CWI Amsterdam
  • 1993 Juli Seminartitel: On a Multi-Grid Algorithm for the TBA Equations, IV. European Multigrid Conference; CWI Amsterdam
  • 1993 Mai "College on Computational Physics"; ICTP, Trieste
  • 1992 Mai Seminartitel: Introduction to Multi-Grid Methods; SISSA, Trieste
  • 1990 Dez. Seminartitel: Spectral Methods for Nonlinear Equations, "Workshop on Wavelets and Applications", CIRM, Marseille
  • 1990 Mai "College on Recent Development and Applications in Mathemathics and Computer Science"; ICTP Trieste

Nach oben

  • Organizer and Chair of the European Multigrid Conference EMG2010, Isola d’Ischia, Italy, 2010.
  • European Science Foundation OPTPDE Workshop Fast solvers for simulation, inversion, and control of wave propagation problems, 26 - 28 September 2011, University of Würzburg, Germany. (ESF Grant 22.000 Eur)
  • Weizmann Workshop 2013 on Multilevel Computational Methods and Optimization, The Weizmann Institute of Science, April 30 - May 02, 2013, Rehovot, Israel.
  • European Science Foundation OPTPDE Workshop ESF OPTPDE Workshop InterDyn2013, 10 - 12 September 2013, Universite Paris-Dauphine , Paris, France. (ESF Grant 26.000 Eur)
  • Multi-ITN STRIKE and WWCSC Mini-Workshop in Stochastic Computing and Optimization, Würzburg, Germany, September 30 - October 2, 2014
  • 27th IFIP TC7 Conference 2015 on System Modelling and Optimization, Sophia Antipolis, France, 29.6. - 3.7.2015: Two Minisymposia: 1) Quantum optimal control; 2) Sparse reconstruction and medical imaging.
  • FGS’2019 French-German-Swiss Conference on Optimization, Nice, Valrose campus, France, 17.9. - 20.9.2019: Minisymposium: Game theory approaches in Inverse Problems and Control.
  • SIAM Conference on Optimization (OP21), Spokane, Washington, U.S., 22.07. - 23.7.2021: Minisymposium: The Passage from Optimal Control to Differential Game Problems - Part I and II.

Nach oben

Mitgliedschaften und Funktionen

In universitären Gremien

  • Mitglied im Internationalisierungskomitee der Universität Würzburg.
  • Mitglied in der Kommission für Forschung und Technologietransfer der Universität Würzburg.
  • Tinsley Oden Fellow, Institute for Computational Engineering and Sciences, University of Texas at Austin, USA.

In wissenschaftlichen Gremien

Frühere Mitgliedschaften

  • Mitglied im Komitee für Grundlagenforschung, Universität Würzburg.
  • Past member of EMS and SIAM

Gutachtertätigkeiten

für Organisationen:
DFG, ANVUR, The Royal Society of London, The Russian Science Foundation

für Zeitschriften:
SISC, SICON, SINUM, SIOPT, MMS, COAP, JCAM, JCOMP, JDCS, OMS, IJVC, NM:TMA, etc.

Editorentätigkeit

  • Associate Editor: SIAM Journal on Scientific Computing (SISC) - bis 2020 -
  • SIAM Review, Books section
  • Numerical Mathematics: Theory, Methods and Applications (NM-TMA).
  • Guest Editor of CVS, NLAA and NM:TMA.

Organisation von Veranstaltungen

Hobbies and all that

Hab nun ach die Philosophey,
Medizin und Juristerey,
Und leider auch die Theologie
Durchaus studirt mit heißer Müh.
Da steh ich nun ich armer Tohr,
Und bin so klug als wie zuvor.

(Johann Wolfgang von Goethe)

I like cooking: a creative hobby with a reward at the end (most of the time).

Here my book with sicilian recipes (in German) Die Sizilianische Küche in Würzburg
Get some idea here
Do not forget Slow Food

I enjoy writing short poems.

Have a look at these links:

In the past, I have done some oil painting.

Partial list of Painters