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Research focus:  

Lehrstuhl für Wissenschaftliches Rechnen
Emil-Fischer-Straße 30, 97074 Würzburg
Mail: l-math9@mathematik.uni-wuerzburg.de
Url: http://www9.mathematik.uni-wuerzburg.de

Scientific members:

   Professors:

Research foci (and basic equipment-based research projects):
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

Results:
A. Borzì and V. Schulz, Computational Optimization of Systems Governed by Partial Differential Equations, SIAM, Philadelphia, 2012 (ISBN 978-1-611972-04-7)
A. Borzì and S. Wongkaew, Modeling and Control Through Leadership of a Refined Flocking System, Mathematical Models and Methods in Applied Sciences (M3AS), 25 (2015), 255-282.
M. Annunziato and A. Borzì, A Fokker-Planck Control Framework for Multidimensional Stochastic Processes, Journal of Computational and Applied Mathematics, 237 (2013), 487-507.
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.
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.
A. Borzì, Multigrid Methods for Parabolic Distributed Optimal Control Problems, J. Comp. Appl. Math, 157 (2003), 365-382.
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.
A. Borzì and G. Propst, Numerical Investigation of the Liebau Phenomenon, ZAMP, 54 (2003), 1050 - 1072.
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, 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).

Links:
Chair of Mathematics IX (Scientific Computing)
Prof. Dr. Alfio Borzi