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Lehrstuhlinhaber

Prof. Dr.AlfioBorzi

Lehrstuhlinhaber
Lehrstuhl für Mathematik IX
Emil-Fischer-Straße 30
97074Würzburg
Gebäude: 30 (Mathematik West)
Raum: 00.007
Portrait Alfio Borzi
Curriculum Vitae

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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.
Funktionen und Mitgliedschaften
Mitgliedschaft 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.
Mitgliedschaft in wissenschaftlichen Gremien
Frühere Mitgliedschaften
  • Mitglied im Komitee für Grundlagenforschung, Universität Würzburg.
  • Past member of EMS and SIAM
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

mehr

Academic projects
Industrial projects
  • Parallel algebraic multigrid methods for multipurpose CFD simulation. (With AVL List GmbH) Modelling of partially-open pipe-ends and connected perforated pipes in gas dynamics systems for engine simulation.  (With AVL List GmbH)
  • Multigrid methods for solving Reynolds lubrication problems. (With AVL List GmbH)
  • CFD Optimal shape design. (With AVL List GmbH)
Collaborative projects
  • Image-Driven Inverse Cardiac Modeling Project (O. Ghattas et al.), Supported by NSF.
  • A computational framework for real-time identification of hazardous events (G. Biros, K. Willcox, et al.) Supported by NSF.
  • Fast Solvers for Computational Problems Arising in Pharmacy, Life Sciences, Mathematics, Physics, and the Environment (C.C. Douglas, U. Langer et al.), Supported by NSF.
  • Real time optimization for data assimilation and control of large scale dynamic simulations (O. Ghattas, G. Biros et al.), Supported by NSF.
Past projects
Publikationen

Masterarbeit

  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)

Doktorarbeit

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

Habilitationsschrift

Multigrid Methods for Optimality SystemsUni Graz, 2003.

Bücher:

Titelbild des Buches "Formulation and Numerical Solution of Quantum Control Problems" von  Alfio Borzì, Gabriele Ciaramella und Martin SprengelTitelbild des Buches "Equazioni Differenziali Ordinarie" von Alfio Borzi und Melanie Wogrin

Alfio Borzì, Gabriele Ciaramella and Martin Sprengel,
Formulation and Numerical Solution of Quantum Control Problems,
SIAM, Philadelphia, 2017 (ISBN 978-1-611974-83-6)
Errata and additions

Alfio Borzì and Volker Schulz,
Computational Optimization of Systems Governed by Partial Differential Equations,
SIAM, Philadelphia, 2012 (ISBN 978-1-611972-04-7)

Alfio Borzì e Melanie Wogrin,
Equazioni Differenziali Ordinarie,
Hevelius Ed., Benevento, 2009
(ISBN 978-88-86977-63-0)

Strichzeichnung (Titelbild des Kinderbuches "In den Brunnen gefallen", Autor: Alfio Borzi)Strichzeichnung (Titelbild des Kinderbuches "In den Brunnen gefallen" in russisch, Autor: Alfio Borzi) 

Alfio Borzì,
In den Brunnen gefallen beim Sterne schauen - Eine sehr kurze Geschichte der Mathematik, epubli, Berlin, 2017 (ISBN 978-3-7450-3862-0)

Alfio Borzì and Liudmila Shertsinger,
In den Brunnen gefallen beim Sterne schauen - Eine sehr kurze Geschichte der Mathematik, in Russian, epubli, Berlin, 2018 (ISBN 9-783-7467-7797-9)

 

Wissenschaftliche Arbeiten:

  1. T. Breitenbach, A. Borzì,
    On the SQH scheme to solve non-smooth PDE optimal control problems,
    Numerical Functional Analysis and Optimization (2019).
    Free e-print
  2. T. Breitenbach, A. Borzì,
    A Sequential Quadratic Hamiltonian Method for Solving Parabolic Optimal Control Problems with Discontinuous Cost Functionals,
    Journal of Dynamical and Control Systems, 2018.
    Preprint
  3. M.-L. Kienle Garrido, T. Breitenbach, K. Chudej, A. Borzì,
    Modeling and Numerical Solution of a Cancer Therapy Optimal Control Problem,
    Applied Mathematics, 9 (2018).
  4. S. Roy, A. Borzì, A new optimisation approach to sparse reconstruction of log-conductivity in acousto-electric tomography,
    SIAM Journal on Imaging Sciences, 11 (2018), 1759-1784.
    Article PDF
  5. M. Annunziato and A. Borzì, A Fokker-Planck Control Framework for Stochastic Systems,
    EMS Surveys In Mathematical Sciences, 5 (2018), 65-98.
    Preprint
  6. K. Kułakowski, P. Gronek and A. Borzì, Paradox of integration - mean field approach,
    International Journal of Modern Physics C (IJMPC), 28 (2017), 1750133
  7. M. Sprengel, G. Ciaramella and A. Borzì,
    Investigation of optimal control problems governed by a time-dependent Kohn-Sham model,
    Journal of Dynamical and Control Systems, 24 (2018), 657-679
  8. D.K. Gathungu and A. Borzì, A multigrid scheme for solving convection-diffusion-integral optimal control problems,
    Computing and Visualization in Science, 2017
  9. B. Gaviraghi, Mario Annunziato, Alfio Borzì,
    Chapter 22: Splitting Methods for Fokker-Planck Equations Related to Jump-Diffusion Processes, pp. 409-422
    Chapter 23: A Fokker-Planck Based Approach to Control Jump Processes, pp. 423-439

    Novel Methods in Computational Finance, Springer, 2017
  10. Edited by Matthias Ehrhardt, Michael Guenther, E. Jan W. ter Maten.
    S. Roy, A. Borzì, A. Habbal, Pedestrian motion modelled by Fokker - Planck Nash games,
    Royal Society open science, 4: 170648, 2017. (open access)
  11. S. Roy, A. Annunziato, A. Borzì, C. Klingenberg, A Fokker-Planck approach to control collective motion,
    Computational Optimization and Applications, 2017.
  12. D.K. Gathungu and A. Borzì,
    Multigrid Solution of an Elliptic Fredholm Partial Integro-Differential Equation with a Hilbert-Schmidt Integral Operator,
    Applied Mathematics, 8 (2017), 967-986.
  13. T. Breitenbach, M. Annunziato and A. Borzì, On the optimal control of a random walk with jumps and barriers,
    Methodology and Computing in Applied Probability, 2017
  14. M. Sprengel, G. Ciaramella and A. Borzì, A theoretical investigation of time-dependent Kohn-Sham equations,
    SIAM Journal on Mathematical Analysis, 49 (2017), 1681-1704.
  15. S. Roy and A. Borzì, Numerical Investigation of a Class of Liouville Control Problems,
    Journal of Scientific Computing, 73 (2017), 178-202.
  16. M. Sprengel, G. Ciaramella and A. Borzì, A COKOSNUT code for the control of the time-dependent Kohn-Sham model,
    Computer Physics Communications, 214 (2017), 231-238.
    Free download until April 19, 2017
  17. Juri Merger and Alfio Borzì, Dynamics identification in evolution models using radial basis functions,
    Journal of Dynamical and Control Systems, 23 (2017), 317-335.
  18. J. Merger, A. Borzì, and R. Herzog, Optimal Control of a System of Reaction-Diffusion Equations Modeling the Wine Fermentation Process,
    Optimal Control, Applications and Methods, 38 (2017), 112-132.
  19. Andrea Thomann and Alfio Borzì, Stability and accuracy of a pseudospectral scheme for the Wigner function equation,
    Numerical Methods for Partial Differential Equations, 33 (2017), 62-87.
  20. Andreas Schindele and Alfio Borzì, Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals,
    International Journal of Control, 90 (2016), 2349-2367.
  21. Beatrice Gaviraghi, Mario Annunziato, Alfio Borzì, Analysis of splitting methods for solving a partial-integro differential Fokker-Planck equation,
    Applied Mathematics and Computation, 294 (2016), 1-17.
  22. Beatrice Gaviraghi, Andreas Schindele, Mario Annunziato, Alfio Borzì, On optimal sparse-control problems governed by jump-diffusion processes,
    Applied Mathematics 7 (2016), 1978-2004.
  23. Andreas Schindele and Alfio Borzì, Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional,
    Applied Mathematics, 7 (2016), 967-992.
  24. Juri Merger and Alfio Borzì, A Lie Algebraic and Numerical Investigation of the Black-Scholes Equation with Heston Volatility Model,
    J Generalized Lie Theory Appl (2016).
  25. Alfio Borzì and Marco Caponigro,
    A control theoretical approach to crowd management:
    Physics of Life Reviews, 18 (2016), 27-28.
    Comment on 'Human behaviours in evacuation crowd dynamics: From modelling to big data toward crisis management' by Nicola Bellomo et al.,
  26. V. Ratz, T. Wech, A. Schindele, A. Dierks, A. Sauer, J. Reibetanz, A. Borzì, T. Bley, H. Koestler, Dynamic 3D MR-Defecography,
    Fortschr. Roentgenstr, 188(09)(2016), 859-863.
  27. Souvik Roy, Mario Annunziato, and Alfio Borzì, A Fokker--Planck feedback control-constrained approach for modelling crowd motion,
    Journal of Computational and Theoretical Transport, 45 (2016), 442-458.
  28. Gabriele Ciaramella and Alfio Borzì, Quantum Optimal Control Problems with a Sparsity Cost Functional,
    Numerical Functional Analysis and Optimization, 37 (2016), 938-965.
  29. V. Thalhofer, M. Annunziato, and A. Borzì, Stochastic modelling and control of antibiotic subtilin production,
    Journal of Mathematical Biology, 73 (2016), 727-749.
  30. M. Mohammadi and A. Borzì, Hermite approximation of a hyperbolic Fokker-Planck optimality system to control a piecewise-deterministic process,
    International Journal of Control, 89 (2016), 1382-1395.
  31. G. Ciaramella and A. Borzì, A LONE code for the sparse control of quantum systems,
    Computer Physics Communications, 200 (2016), 312-323.
  32. T. Wech, N. Seiberlich, A. Schindele, V. Grau, L. Diffley, M. L. Gyngell, A. Borzì, H. Koestler, and J. E. Schneider ,
    Development of Real-time Magnetic Resonance Imaging of Mouse Hearts at 9.4 Tesla -- Simulations and First Application,
    IEEE TRANSACTIONS ON MEDICAL IMAGING, 35(3):912-20.
  33. S. Wongkaew, M. Caponigro, K. Kułakowski, A. Borzì, On the control of the Heider balance model,
    European Physical Journal - Special Topics, 224(2015), 3325-3342.
  34. A. Borzì, E.-J. Park, M. Vallejos Lass, Multigrid Optimization Methods for the Optimal Control of Convection -- Diffusion Problems with Bilinear Control,
    Journal of Optimization Theory and Applications, 168 (2016), 510-533.
  35. M. Annunziato, A. Borzì, M. Magdziarz, A. Weron, A fractional Fokker-Planck control framework for subdiffusion processes,
    Optimal Control, Applications and Methods, 37 (2016), 290-304
  36. G. Ciaramella and A. Borzì, SKRYN: A fast semismooth-Krylov-Newton method for controlling Ising spin systems,
    Computer Physics Communications, 190 (2015), 213-223.
  37. G. Ciaramella, A. Borzì, G. Dirr, D. Wachsmuth, Newton methods for the optimal control of closed quantum spin systems,
    SIAM Journal on Scientific Computing, 37 (2015), A319-A346.
  38. G. Ciaramellaa , J. Salomon, A. Borzì, A method for solving exact-controllability problems governed by closed quantum spin systems,
    International Journal of Control (IJC), 88 (2015), 682-702.
  39. Masoumeh Mohammadi and Alfio Borzì, A Hermite spectral method for a Fokker-Planck optimal control problem in an unbounded domain,
    International Journal for Uncertainty Quantification (IJUQ), 5 (2015), 233-254.
  40. Mohammad Tanvir Rahman and Alfio Borzì, A FEM-multigrid scheme for elliptic Nash-equilibrium multiobjective optimal control problems,
    Numerical Mathematics: Theory, Methods and Applications (NMTMA), 8 (2015) 253-282.
  41. Suttida Wongkaew, Marco Caponigro, Alfio Borzì, On the control through leadership of the Hegselmann-Krause opinion formation model,
    Mathematical Models and Methods in Applied Sciences (M3AS), 25 (2015), 565-585.
  42. S. Wongkaew and A. Borzì, Modeling and control through leadership of a refined flocking system,
    Mathematical Models and Methods in Applied Sciences (M3AS), 25 (2015), 255-282.
  43. M. Annunziato, A. Borzì, F. Nobile, and R. Tempone, On the connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck control frameworks,
    Applied Mathematics, 5 (2014), 2476-2484.
  44. S. Gonzalez Andrade and A. Borzì, Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems,
    Advances in Computational Mathematics, 41 (2015), 457-488
  45. M. Mohammadi and A. Borzì, Analysis of the Chang-Cooper Discretization Scheme for a Class of Fokker-Planck Equations,
    Journal of Numerical Mathematics, 23 (2015), 271-288.
  46. A. Borzì, Daniela di Serafino, and Valentina De Simone, Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems,
    Computing and Visualization in Science, 16 (2013), 1-14.
  47. M. Annunziato and A. Borzì, Optimal control of a class of piecewise deterministic processes ,
    European Journal of Applied Mathematics, 25 (2014), 1-25.
  48. P.F. Antonietti, A. Borzì, and M. Verani, Multigrid shape optimization governed by elliptic PDEs,
    SIAM J. Control Optim., 51 (2013), 1417-1440.
  49. A. Borzì, Quantum optimal control using the adjoint method,
    Nanoscale Systems: Mathematical Modeling, Theory and Applications, 1 (2012), 93-111.
  50. Davide Calebiro, Finn Rieken, Julia Wagner, Titiwat Sungkaworn, Ulrike Zabel, Alfio Borzì, Emanuele Cocucci, Alexander Zuern, Martin J. Lohse,
    Single-molecule analysis of fluorescently labeled GPCRs reveals receptor-specific complexes with distinct dynamics and organization,
    Proceedings of the National Academy of Sciences (PNAS), 110 (2013), 743-748.
  51. M. Annunziato and A. Borzì, Fokker-Planck-based control of a two-level open quantum system,
    Mathematical Models and Methods in Applied Sciences (M3AS), 23 (2013), 2039-2064
  52. A. Borzì and C. Kanzow, Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems,
    SIAM J. Control Optim., 51(2013), 718-744.
  53. M. Annunziato and A. Borzì, A Fokker-Planck control framework for multidimensional stochastic processes,
    Journal of Computational and Applied Mathematics, 237 (2013), 487-507.
  54. A. Borzì and M. Borzì, A MPC Scheme with Guaranteed Stability for the Control of Bloch Systems,
    Proceedings MATHMOD 2012, I. Troch, F. Breitenecker, eds.
  55. M. M. Butt and A. Borzì, A full multigrid solution of control-constrained Cauchy-Riemann optimal control problems ,
    Journal of Numerical Mathematics, 19 (2011), 189-214.
  56. A. Borzì and G. von Winckel, A POD framework to determine robust controls in PDE optimization,
    Computing and Visualization in Science, 14 (2011), 91-103.
  57. M. M. Butt and A. Borzì, Formulation and multigrid solution of Cauchy-Riemann optimal control problems,
    Computing and Visualization in Science, 14 (2011), 79-90.
  58. S. Gonzalez Andrade and A. Borzi, Multigrid solution of a Lavrentiev-regularized state-constrained parabolic control problem,
    Numerical Mathematics: Theory, Methods and Applications, 5 (2012), 1-18.
  59. M. Annunziato and A. Borzì, Optimal control of probability density functions of stochastic processes,
    Mathematical Modelling and Analysis, 15 (2010), 393-407.
  60. S. Gonzalez Andrade and A. Borzì, Multigrid second-order accurate solution of parabolic control-constrained problems,
    Computational Optimization and Applications, 51 (2012), 835-866.
  61. G. von Winckel and A. Borzì, QUCON: A fast Krylov-Newton code for dipole quantum control problems,
    Computer Physics Communications, 181 (2010), 2158-2163.
  62. A. Borzì, V. Schulz, C. Schillings, and G. von Winckel, On the treatment of distributed uncertainties in PDE constrained optimization,
    GAMM Mitteilungen, 33 (2010), 230-246.
  63. A. Borzì, Multigrid and sparse-grid schemes for elliptic control problems with random coefficients,
    Computing and Visualization in Science, 13 (2010), 153-160.
  64. M. Annunziato and A. Borzì, Fast solvers of Fredholm optimal control problems,
    Numerical Mathematics: Theory, Methods and Applications, 3 (2010), 431-448.
  65. A. Borzì, M. di Bisceglie, C. Galdi, G. Giangregorio, Robust registration of satellite images with local distorsions,
    Proceedings IEEE International Geoscience & Remote Sensing Symposium July 12-17, 2009, Cape Town, South Africa
  66. G. von Winckel, A. Borzì, and S. Volkwein, A globalized Newton method for the accurate solution of a dipole quantum control problem,
    SIAM J. Sci. Comp., 31 (2009), 4176-4203
  67. A. Borzì and G. von Winckel, Multigrid methods and sparse-grid collocation techniques for parabolic optimal control problems with random coefficients,
    SIAM J. Sci. Comp., 31 (2009), 2172-2192
  68. A. Borzì and V. Schulz, Multigrid methods for PDE optimization,
    SIAM Review, 51 (2009), 361-395.
  69. O. Lass, M. Vallejos, A. Borzì, and C.C. Douglas, Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems,
    Computing, 84 (2009), 27-48
  70. M. Vallejos and A. Borzì, Multigrid optimization methods for linear and bilinear elliptic optimal control problems,
    Computing, 82 (2008), 31-52
  71. M. Vallejos and A. Borzì, Multigrid methods for linear elliptic optimal control problems,
    Numerical Mathematics and Advanced Applications, Springer (2008)
  72. G. von Winckel and A. Borzì, Computational techniques for a quantum control problem with H1-cost,
    Inverse Problems, 24 (2008) 034007.
  73. A. Borzì and U. Hohenester, Multigrid optimization schemes for solving Bose--Einstein condensates control problems,
    SIAM J. Sci. Comp., 30 (2008), 441-462
  74. P. Ditz and A. Borzì, A cascadic monotonic time-discretized algorithm for finite-level quantum control computation,
    Computer Physics Communications, 178 (2008), 393-399.
  75. A. Borzì, J. Salomon, and S. Volkwein, Formulation and numerical solution of finite-level quantum optimal control problems,
    Journal of Computational and Applied Mathematics,216 (2008), 170-197
  76. U. Hohenester, P.K. Rekdal, A. Borzì, J. Schmiedmayer, Optimal quantum control of Bose-Einstein condensates in magnetic microtraps,
    Phys. Rev. A 75, 023602 (2007)
  77. A. Borzì, Smoothers for control- and state-constrained optimal control problems,
    Computing and Visualization in Science, 11 (2008), 59-66.
  78. A. Borzì, On the convergence of the MG/OPT method,
    PAMM, 5(1) (2005), 735-736
  79. A. Borzì, High-order discretization and multigrid solution of elliptic nonlinear constrained optimal control problems,
    Journal of Computational and Applied Mathematics, 200 (2007), 67-85.
  80. A. Borzì and R. Griesse, Distributed optimal control of lambda-omega systems,
    Journal of Numerical Mathematics, 14 (2006), 17-40.
  81. A. Borzì, Space-time multigrid methods for solving unsteady optimal control problems,
    (Chapter 5) in L.T. Biegler, O. Ghattas, M. Heinkenschloss, D. Keyes and B. van Bloemen Waanders (Eds.),
    Real-Time PDE-Constrained Optimization, Computational Science and Engineering, Vol. 3, SIAM, Philadelphia, 2007.
  82. A. Borzì and G. Borzì, Algebraic multigrid methods for solving generalized eigenvalue problems,
    International Journal for Numerical Methods in Engineering, 65(8) (2006), 1186-1196.
  83. A. Borzì and E. Decker, Analysis of a leap-frog pseudospectral scheme for the Schroedinger equation,
    Journal of Computational and Applied Mathematics, 193(1) (2006), 65-88.
  84. A. Borzì and K. Kunisch, A globalization strategy for the multigrid solution of elliptic optimal control problems,
    Optimization Methods and Software, 21(3) (2006), 445-459
  85. A. Borzì, H. Grossauer, and O. Scherzer, Analysis of Iterative Methods for Solving a Ginzburg-Landau Equation,
    Int. Journal of Computer Vision, 64 (2005), 203-219.
  86. A. Borzì and R. Griesse, Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model,
    Int. J. Numer. Meth. Fluids., 47 (2005), 879-885.
  87. A. Borzì, Solution of lambda-omega systems: Theta-schemes and multigrid methods,
    Numerische Mathematik, 98(4) (2004), 581-606.
  88. A. Borzì and K. Kunisch, A multigrid scheme for elliptic constrained optimal control problems,
    Computational Optimization and Applications, 31 (2005), 309-333.
  89. A. Borzì and G. Borzì, An efficient algebraic multigrid method for solving optimality systems,
    Computing and Visualization in Science, 7(3/4) (2004), 183-188.
  90. A. Borzì and G. Borzì, An algebraic multigrid method for a class of elliptic differential systems,
    SIAM J. Sci. Comp., 25(1) (2003), 302-323.
  91. A. Borzì, Multigrid methods for parabolic distributed optimal control problems,
    J. Comp. Appl. Math, 157 (2003), 365-382.
  92. P. Bartsch and A. Borzì, On the Modeling and Simulation of Boundary Flow Through Partially Open Pipe Ends,
    ZAMP, 55 (2004), 946-961.
  93. 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).
  94. A. Borzì, Fast multigrid methods for parabolic optimal control problems,
    Proceedings of 18-th GAMM Seminar Leipzig 2002.
  95. A. Borzì and G. Propst, Numerical Investigation of the Liebau Phenomenon,
    ZAMP, 54 (2003), 1050 - 1072.
  96. G. Propst and A. Borzì, 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.
  97. A. Borzì, K. Kunisch, and Do Y. Kwak, Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System,
    SIAM J. Control Opt., 41(5) (2003), 1477-1497.
  98. A. Borzì, K. Ito, and K. Kunisch, Optimal Control Formulation for Determining Optical Flow,
    SIAM J. Sci. Comput., 24(3) (2002), 818-847.
  99. A. Borzì, K. Ito, and K. Kunisch, An Optimal Control Approach to Optical Flow Computation,
    Int. J. Numer. Meth. Fluids., 40 (2002), 231-240.
  100. 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.
  101. 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.
  102. 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.
  103. A. Borzi and A. Koubek, A multi-grid method for the resolution of thermodynamic Bethe ansatz equations,
    Comp. Phys. Commun., 75 (1993), 118-126.
  104. A. Borzi and G. Fonte, On Variational principles for Nonlinear Partial Differential Equations in Complex Spaces,
    Nuovo Cimento, B107 (1992), 189-201.
  105. 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.
  106. 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.
  107. 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.
  108. 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.
  109. 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.
  110. 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.
  111. 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).
  112. A. Borzi, Burgers Equation and Multi-Grid Techniques,
    in "Contributions to Multigrid" ed. bv P.W. Hemker and P. Wesseling, CWI, Amsterdam, (1994).
  113. 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).
  114. 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, Birkhaeuser Verlag, Basel, (1994).

Ein paar alte Preprints, technische Berichte und alles, was dazugehört

  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.

Sonderausgaben

  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).
Lehre

Download Teaching Portfolio

Aktuelle Lehrveranstaltungen:

SOSE 2019:

Optimale Steuerung (A. Borzi)
3 St., Di 8-10, Mi 12-13, SE 30
(Calculus of Variation ODE, Optimal Control ODE, Optimal Control PDE)
Übungen zu Optimale Steuerung (A. Borzi)
1 St., Mi 13-14, SE 30 (Calculus of Variation ODE, Optimal Control ODE, Optimal Control PDE)

Download Exercise 1
Download Exercise 2
Download Exercise 3
Download Exercise 4

Seminar Optimierung (A. Borzi)
2 St., Di 10-12, Raum 30.02.003 (Mathegebäude West, Emil-Fischer-Str. 30), Voranmeldung per email an: alfio.borzi@mathematik.uni-wuerzburg.de
(Selected Topics on  the Theory and Numerics of the Calculus of Variation ODE, Optimal Control ODE, Optimal Control PDE)

Seminar Wissenschaftliches Rechnen (A. Borzi)
2 St., Mo 14-16, SE 30
(Neural Networks, Deep Learning)

Arbeitsgemeinschaft Wissenschaftliches Rechnen (A. Borzi)
4 St., Mo 12-14, Di 12-14, Raum 30.02.003 (Mathegebäude West, Emil-Fischer-Str. 30), Voranmeldung per email an: alfio.borzi@mathematik.uni-wuerzburg.de
(Simulation of Evolution Models: Lattice-Boltzmann, Boltzmann, Fokker-Planck, Bio-Chemical Reaction Diffusion, Turing Morphogenesis)

Oberseminar Wissenschaftliches Rechnen, 2 St., nach Vereinbarung (A. Borzi, B. Hahn)

Vergangene Lehrveranstaltungen:

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)

Vorträge
Some invited talks
  1. 2018 July. On the optimal control of a Kohn-Sham quantum model, Workshop PRACQSYS
  2. 2018: Principles and Applications of Control in Quantum Systems, Henri Poincaré Institute, Paris, France.
  3. 2018 June. From Brownian to pedestrian motion and Fokker-Planck Nash games, Lothar-Collatz-Kolloquium für Angewandte Mathematik, Fachbereich Mathematik, Universität Hamburg, Germany.
  4. 2018 April. From Brownian to pedestrian motion and Fokker-Planck Nash games, Lomonosov State University, Moscow, Russia.
  5. 2017 November. From Brownian motion to pedestrian avoidance, Mathematisches und Mathematik-didaktisches Kolloquium, Universität Oldenburg, Oldenburg, Germany.
  6. 2017 October. On a Fokker-Planck Nash game to model pedestrian motion, Schwerpunktskolloquium, University of Konstanz, Germany.
  7. 2017 October. Formulation and analysis of a piecewise-deterministic Liouville transport problem, Workshop ADVANCE IN MATHEMATICS FOR TECHNOLOGY 2017 (AMATH 2017), Catania, Italy.
  8. 2017 June. 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.
  9. 2017 May. A Fokker-Planck Nash game to model pedestrian motion with avoidance, International Workshop Optimal Control of Dynamical Systems, Graz, Austria.
  10. 2017 Feb. Fast iterative schemes for solving PDE control problems with the Pontryagin maximum principle, Institute of Numerical Mathematics (INM) at the Steklov Institut of Mathematics, Moscow, Russia.
  11. 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.
  12. 2016 Oct. Optimal Control and Function Identification in the Wine Fermentation Process, Kolloquium der Mathematik, Fakultät fuer Mathematik, Physik und Informatik der Universität Bayreuth.
  13. 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.
  14. 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.
  15. 2015 Jan. Advances in the numerical solution of quantum control problems, Workshop Quantum Cybernetics & Control 2015 (QCC2015), Jan. 19-23, 2015, Nottingham, UK.
  16. 2014 Sept. A Fokker-Planck strategy to control stochastic processes, Marian Smoluchowski Symposium on Statistical Physics, Sept. 22-26, 2014, Zakopane, Poland.
  17. 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.
  18. 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.
  19. 2013 June. Fast and Accurate Computational Methods for Quantum Control Problems, W.E. Heraeus Seminar on Optimal Control of Quantum Systems, Physikzentrum Bad Honnef.
  20. 2013 May. 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.
  21. 2013 May. 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.
  22. 2013 March. A Fokker-Planck-Kolmogorov Strategy for Controlling Stochastic Processes, Ecole Nationale Supérieure des Mines, Paris, France.
  23. 2013 Jan. An Optimal Control Strategy for Probability Density Functions of Stochastic Processes and Piecewise Deterministic Processes, Mathematisches Kolloquium, Univ. Bayreuth, Germany.
  24. 2011 Nov. PDE Optimierung unter Unsicherheiten und die Suche nach einer Robusten Steuerung, Mathematisches Kolloquium, Univ. Darmstadt, Germany.
  25. 2010 Dec. Advanced Numerical Schemes for Solving Infinite Dimensional Quantum Control Problems , Workshop on Quantum Control, IHP, Paris, Dec. 8-10, 2010, Paris, France.
  26. 2010 July. Multilevel methods for PDE control problems, Conference ICCAM 2010, July 5-9, 2010, Leuven, Belgium.
  27. 2009 Nov. Multigrid and stochastic sparse-grids techniques for PDE control problems with random coefficients, Università di Roma Sapienza, Italy.
  28. 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.
  29. 2008 Oct. Multigrid methods for pde optimization, EMG 2008, Bad Herrenalb, Germany.
Contributions
  1. 1990 Mai "College on Recent Development and Applications in Mathemathics and Computer Science"; ICTP Trieste
  2. 1990 Dez. Seminartitel: Spectral Methods for Nonlinear Equations, "Workshop on Wavelets and Applications", CIRM, Marseille
  3. 1992 Mai Seminartitel: Introduction to Multi-Grid Methods; SISSA, Trieste
  4. 1993 Mai "College on Computational Physics"; ICTP, Trieste
  5. 1993 Juli Seminartitel: Burgers' Equation and Multi-Grid Techniques, IV. European Multigrid Conference; CWI Amsterdam
  6. 1993 Juli Seminartitel: On the Extension of the Twolevel Method for Operator Equations in Hilbert Space, IV. European Multigrid Conference; CWI Amsterdam
  7. 1993 Juli Seminartitel: On a Multi-Grid Algorithm for the TBA Equations, IV. European Multigrid Conference; CWI Amsterdam
  8. 1994 Jan. Seminartitel: On the Splitting Formulation of Multilevel Methods, OUCL, Oxford
  9. 1994 April "ICFD Workshop", OUCL, Oxford
  10. 1994 April Seminartitel: The Splitting Formulation of Multilevel Methods and Some Applications; University of Bath
  11. 1994 Okt. Seminartitel: Review of solution methods for the Cauchy-Riemann equations; OUCL Oxford
  12. 1994 Okt. Seminartitel: Multilevel solution of cell vertex Cauchy-Riemann equations; OUCL Oxford
  13. 1994 Nov. Seminartitel: Canonical Variables and Splitting of the Inviscid Euler Equation, VKI Bruxelles
  14. 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.
  15. 1995 Mai Seminartitel: A new algebraic multigrid method for problems on unstructured grids, OUCL Oxford
  16. 1995 Mai Seminartitel: Implementing the algebraic multigrid method using C++ OUCL Oxford
  17. 1995 Mai Seminartitel: An introduction to the modern multigrid convergence theory, OUCL Oxford.
  18. 1997 Märrz Seminartitel: The FIRE code, OUCL Oxford.
  19. 1998 Okt Seminartitel: Numerical Methods for Conservation Laws. KF Uni Graz.
  20. 1999 Sept Seminartitel: A multigrid approach to the optimal control of solid fuel ignition problems, University of Ghent.
  21. 2000 Mai Seminartitel: A multigrid method for optimal control of time-dependent reaction diffusion processes, WIAS, Berlin.
  22. 2000 Oct Seminartitel: Optimal control for determining optical flow, WIAS, Berlin.
  23. 2001 März An Optimal control approach to optical flow computation, ICFD Conf., Oxford.
  24. 2001 Mai Problemi di controllo ottimale e applicazioni, DEES, Catania.
  25. 2001 Aug An new approach to optical flow computation, KAIST, Taejon, Korea.
  26. 2001 Okt Multigrid convergence theories: A review. KF Uni Graz.
  27. 2002 Jan Multigrid techniques for distributed nonlinear parabolic optimal control problems, Max-Planck-Institut, Leipzig.
  28. 2002 Juni A control-in-the-coefficients method to solve the hyperbolic optical flow constraint problem, Adv. Nonlinear PDE, Univ. of L’Aquila.
  29. 2002 Juni A New Formulation for Optical Flow Computation Without Data Differentiation, Graduiertenkolleg der Univ. Erlangen-Nürnberg.
  30. 2002 Okt. Algebraic multigrid methods for solving eigenvalue problems, European Multigrid Conf. 2003, Pforzheim.
  31. 2002 Okt. An efficient algebraic multigrid method for solving optimality systems, European Multigrid Conf. 2003, Pforzheim.
  32. 2003 Jan Optimal quantum control of generic three-level systems, Univ. Innsbruck.
  33. 2003 Jan On the lambda-omega model for reaction-diffusion systems: Numerical solution and the onset of chemical turbulence, Univ. Innsbruck.
  34. 2003 Feb. Theory and practice of geometric and algebraic multigrid methods for elliptic optimality systems, Math. Inst. Oberwolfach.
  35. 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.
  36. 2003 Jun. On the Optimal Control Formulation of the Optical Flow Problem, SciCADE 2003, Trondheim.
  37. 2003 Nov. Multigrid methods for optimality systems, Habil Kolloquium, Uni Graz, 2003.
  38. 2003 Dec. Two examples of optimal control problems in physics: Quantum nanostructures and Ginzburg-Landau model, Dipartimento di Fisica e Astronomia, Universita' di Catania, 2003.
  39. 2004 Jan. On space-time multigrid solutionof unsteady optimal control problems, Math. Inst. Oberwolfach.
  40. 2004 Jan. A multigrid method for elliptic constrained optimal control problems, TU-Berlin.
  41. 2004 Mar. On the implementation of space-time multigrid smoothing schemes, Uni Graz.
  42. 2001 April On the optimal control of chemical turbulence, ICFD Conference on Numerical Methods in Fluid Dynamics, Oxford, UK.
  43. 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.
  44. 2004 June. An optimal control approach to compute optical flow, Pixel Club Lecture, Computer Science Department, Technion, Haifa, Israel.
  45. 2004 June. Space-time multigrid methods for solving unsteady optimal control problems, Colloquia, Computer Science Department, Technion, Haifa, Israel.
  46. 2004 Nov. Towards the fast control of chemical turbulence, cardiac electrical turbulence, and quantum dots, Lehrstuhl für Sensorik, Universität Erlangen, Germany.
  47. 2005 Jan. Optimization aspects of multigrid methods, 16th International Conference on Domain Decomposition Methods, Courant Institute of Mathematical Sciences, New York, USA.
  48. 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
  49. 2005 March Optimization aspects of multigrid methods, GAMM 2005, University of Luxembourg
  50. 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
  51. 2005 July 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
  52. 2005 Sept High-order discretization and multigrid solution of constrained optimal control problems Mathematik 2005, University of Klagenfurt, Klagenfurt, Austria, September 18-23, 2005
  53. 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
  54. 2006 Feb-March. Bilinear systens and quantum optimal control problems, Math. Inst. Oberwolfach.
  55. 2006 March. GAMM Annual Meeting 2006. Minisymposium "Multigrid methods for optimal control of PDE’s", March 27th - 31st, Berlin.
  56. 2006 July. SIAM Annual Meeting 2006. Minisymposium "Multilevel Methods for Optimization and Inverse Problems", July 10-14, Boston.
  57. 2006 Sept. Numerical Simulation and Optimization in Natural Sciences and Engineering contributions, present work, and perspectives, Bonn, Germany.
  58. 2006 Oct. Lecture "Multilevel Methods for Optimization", RICAM, Linz.
  59. 2006 Oct. Recent results on quantum optimal control problems: Three-level quantum dots and Bose-Einstein condensates, CERMICS, Paris.
  60. 2006 Nov. A multilevel approach to the fast control of evolutionary systems, Centre of Mathematics for Applications, University of Oslo.
  61. 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.
  62. 2007 Feb. New Approaches to Optical Flow and Digital Inpainting, SIAM CS & E 2007 Conference, Costa Mesa, California.
  63. 2007 Feb. Multigrid Schemes for Distributed Parameter Estimation Problems, SIAM CS & E 2007 Conference, Costa Mesa, California.
  64. 2007 Mar. Multigrid methods for an extended quantum control problem, RICAM, Linz.
  65. 2007 April Metodi multilivello per il controllo di condensati Bose-Einstein, Dept. of Engineering, University of Sannio at Benevento, Italy.
  66. 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.
  67. 2007 July 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.
  68. 2007 Agust Multilevel schemes for quantum control problems, SISSA, Trieste, Italy.
  69. 2007 October 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
  70. 2008 January Multigrid and stochastic sparse-grid techniques for time-dependent control problems with random inputs, University Trier, Germany.
  71. 2008 April New models and techniques for computing optical flows and digital inpainting, Universita' La Sapienza, Roma.
  72. 2008 May Multigrid schemes for optimization problems with bilinear structure, SIAM OP08, Boston, USA.
  73. 2008 June Analisi e controllo di sistemi reazione-diffusione con termini cinetici che esibiscono cicli limite periodici, Universita' del Sannio, Benevento, Italy.
  74. 2008 July 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.
  75. 2008 Sept. A multigrid and sparse-grid framework for stochastic optimal control problems, 9th Congress of SIMAI, Roma, Italy.
  76. 2008 Sept. Multigrid schemes for steady and time-dependent bilinear control problems, 9th Congress of SIMAI, Roma, Italy.
  77. 2008 Oct. Multigrid methods for pde optimization, EMG 2008, Bad Herrenalb, Germany.
  78. 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.
  79. 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.
  80. 2009 Feb. Multigrid methods for pde optimization, Convegno GNCS, Montecatini, Italy.
  81. 2009 May. The multigrid strategy for solving elliptic optimal control problems, MOX, Milano, Italy.
  82. 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.
  83. 2009 Oct. Multigrid methods for pde optimization, Goettingen, Germany.
  84. 2009 Nov. Multigrid and stochastic sparse-grids techniques for PDE control problems with random coefficients, Universita di Roma Sapienza, Italy.
  85. 2009 Dec. Multilevel strategies for solving PDE optimal control problems, Brunel University, Uxbridge, UK.
  86. 2010 Feb. Theoretical and numerical aspects of quantum control problems, Workshop on ADVANCED METHODS AND PERSPECTIVES IN NONLINEAR OPTIMIZATION AND CONTROL, CERFACS, Toulouse, France.
  87. 2010 June. Fast Multigrid and Sparse-Grids Solution of PDE Optimization Problems with Uncertain Coefficients, University of Cologne, Germany.
  88. 2010 June. 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.
  89. 2010 June. Fast Multigrid and Sparse-Grids Solution of PDE Optimization Problems with Uncertain Coefficients, BCAM, Bilbao, Basque Coutry.
  90. 2010 July. Multilevel methods for PDE control problems, Conference ICCAM 2010, July 5-9, 2010, Leuven, Belgium.
  91. 2010 Dec. Advanced Numerical Schemes for Solving Infinite Dimensional Quantum Control Problems , Workshop on Quantum Control, IHP, Paris, Dec. 8-10, 2010, Paris, France.
  92. 2011 Sept. Optimal control of Bose-Einstein condensates, Minisymposium "Optimization and Control of Nanosystems I-II", IFIP, Berlin, 2011.
  93. 2011 Oct. A Fokker-Planck control framework for multidimensional stochastic processes, Workshop on Control and Optimization of PDEs, Graz, Austria.
  94. 2011 Oct. Modellierung, Simulation und Optimierung im Wissenschaftlichen Rechnen, Antrittsvorlesung, Mathematisches Kolloquium, Univ. Würzburg, Germany.
  95. 2011 Nov. PDE Optimierung unter Unsicherheiten und die Suche nach einer Robusten Steuerung, Mathematisches Kolloquium, Univ. Darmstadt, Germany.
  96. 2011 Nov. Computational methodologies for solving quantum optimal control problems, Kolloquium der Physikalischen und Theoretischen Chemie, Univ. Würzburg, Germany.
  97. 2012 Feb. Optimal Control of Bloch Systems, MATHMOD Conference, Vienna, Austria.
  98. 2012 Mar. Formulation and multigrid solution of Cauchy-Riemann optimal control problems, OCIP 2012, Tech. Univ. München, Germany.
  99. 2012 Jul. On a Fokker-Planck approach to control open quantum systems, 20th Conference on Nonlinear Sciences Juli 11-13, 2012 - Wolfenbüttel, Germany.
  100. 2012 Aug. Fast multigrid solution of parabolic bilinear optimization problems, European Multigrid Conference EMG2012, 2012 Schloss Schwetzingen, Germany.
  101. 2013 Jan. An Optimal Control Strategy for Probability Density Functions of Stochastic Processes and Piecewise Deterministic Processes, Mathematisches Kolloquium, Univ. Bayreuth, Germany.
  102. 2013 March. A Fokker-Planck-Kolmogorov Strategy for Controlling Stochastic Processes, Ecole Nationale Supérieure des Mines, Paris, France.
  103. 2013 May. 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.
  104. 2013 May. 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.
  105. 2013 June. 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.
  106. 2013 June. Fast and Accurate Computational Methods for Quantum Control Problems, W.E. Heraeus Seminar on Optimal Control of Quantum Systems, Physikzentrum Bad Honnef.
  107. 2013 Sept. Multigrid shape optimization governed by elliptic PDEs, Workshop in New Trends in Shape Optimization, Erlangen, September 2013.
  108. 2013 Dec. A Fokker-Planck-Kolmogorov Control Framework for Stochastic Processes, Dipartimento di Matematica, Universita di Catania, Dezember 2013.
  109. 2014 March. Challenges in the Numerical Analysis and Solution of PDE Optimality Systems, Institute of Numerical Mathematics, TU Dresden.
  110. 2014 March. A Fokker-Planck-Kolmogorov Control Framework for Stochastic Processes, Lomonosov State University and Steklov Institut of Mathematics, Moscow.
  111. 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.
  112. 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.
  113. 2014 Sept. A Fokker-Planck strategy to control stochastic processes, Marian Smoluchowski Symposium on Statistical Physics, Sept. 22-26, 2014, Zakopane, Poland.
  114. 2017 Feb. Fast iterative schemes for solving PDE control problems with the Pontryagin’s maximum principle, Institute of Numerical Mathematics (INM) at Steklov Institut of Mathematics, Moscow.
  115. 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.
  116. 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.
  117. 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.
  118. 2015 Jan. Advances in the numerical solution of quantum control problems, Workshop Quantum Cybernetics \& Control 2015 (QCC2015), Jan. 19-23, 2015, Nottingham, UK.
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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).
  • SIAM Review, Books section
  • Numerical Mathematics: Theory, Methods and Applications (NM-TMA).
  • Guest Editor of CVS, NLAA and NM:TMA.

Organisation von Veranstaltungen

Hinweis zum Datenschutz

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Hinweis zum Datenschutz

Mit 'OK' verlassen Sie die Seiten der Universität Würzburg und werden zu Twitter weitergeleitet. Informationen zu den dort erfassten Daten und deren Verarbeitung finden Sie in deren Datenschutzerklärung.

Kontakt

Lehrstuhl für Mathematik IX (Wissenschaftliches Rechnen)
Emil-Fischer-Straße 30
Campus Hubland Nord
97074 Würzburg

Tel.: +49 931 31-83843
E-Mail

Suche Ansprechpartner

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