English Intern
  • Innenaufnahme der Teilbibliothek Mathematik
Wissenschaftliches Rechnen

Publikationen

2024

  • 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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