Maciek Korzec

Email:
Phone: ++49(0) 30 20372 514  
Fax: ++49(0) 30 2044975
Markgrafenstr. 32 
10117 Berlin 
Germany 

Research Group: Thermodynamic Modeling and Analysis of Phase Transitions

Member of the DFG research center MATHEON
Member of the council of the DFG research center MATHEON
PHD student, supervised by Barbara Wagner and Andreas Münch
Member of the Matheon project Modelling, asymptotic analysis and numerical simulation of the dynamics of thin film nanostructures on crystal surfaces
Main collaboration with Barbara Wagner , Pete Evans, Andreas Münch, Robert Huth, Ernst Höschele , Margarita Naldzhieva, Dirk Peschka and Clemens Guhlke

Research interests

  • Modeling of thin films, i.e. Quantum Dots growth
  • Nonlinear PDEs
  • Dynamical Systems
  • General Nonlinear Optimization
  • Quadratic Programming
  • Numerics
  • For numerical examples of the evolution of solid surfaces click on the pictures:
    growing surface small growing surface small
  • Pseudospectral methods:
    The book Spectral Methods in MATLAB by L. N. Trefethen motivated me to get into pseudospectral methods by myself and I managed to implement a code for the simulation of self-assembled quantum dot growth. Anyhow, first steps with such methods - i.e. when dealing with more than one spatial dimension - might appear complicated, so I decided to post a presentation, where the pseudospectral method based on the MATLAB FFT is explained on several examples. It is an informal, comprehensible introduction to the method (and also to finite difference methods) which I held at the WIAS PhD student's seminar (I updated it and deleted some minor mistakes since then). It shows how to implement the method for problems like a simple Allen-Cahn equation, the Cahn-Hilliard equation or related on periodic domains with smooth interfaces. Some of the MATLAB example codes mentioned in the talk are also available: diffusion.m , diffusion2d_euler.m, diffusion2d_psm.m, diffusion2d_euler_impl.m, sd_vs_fd.m, trilap.m
    If you find errors, please let me know.
    pdf

    Teaching / organizational stuff

  • Tutor for the Linear Algebra course at the TU (WS 08/09; Information on the ISIS platform where you can log with a TUbit account
  • Matheon seminar for junior scientists... click here
  • Short CV

  • 1981
  • Born in Lodz, Poland
  • 2000
  • High school diploma, Carl-Fuhlrott-Gymnasium in Wuppertal
  • 2001-2006
  • Study of mathematics at the University in Cologne and at the Humboldt University in Berlin
  • Since August 2006
  • WIAS staff member, PhD student at the Technical University in Berlin

    Thesis

  • Diploma thesis: A General Low Rank Update Based Quadratic Programming Solver
  • pdf

    Publications in reviewed papers

  • From bell shapes to pyramids: A reduced continuum model for self-assembled quantum dot growth
    M.D. Korzec and P. L. Evans, Physica D 239(8), 2010.
  • pdf
  • Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard type equations
    M.D. Korzec, P. L. Evans, A. Münch and B. Wagner, SIAM J. Appl. Math., 69 (2008) pp. 348-374.
  • pdf
  • Maintaining factorized KKT Systems subject to Rank-one Updates of Hessians and Jacobians
    A. Griewank, A. Walther, and M. Korzec, in Optimization Methods and Software (2006)
  • Selected talks

  • Effect of Anisotropic Surface Energy in An Epitaxial Growth Model
    Miami, December 7-10th, 2009
  • Comparison of two driven Cahn-Hilliard type equations
    Minneapolis, July 14-25th, 2008
  • On sixth-order equations modeling the growth of self-assembled nano-structures
    Bonn, July 3-5th, 2008
  • QR decomposition based linear algebra and QP aspects of the total quasi-Newton idea
    DMV-Tagung in Berlin, 2007
  • Numerical Linear Algebra for Jacobian free NLP solving
    PARAOPT 2005 in Cairo, Egypt
  • Low Rank Updating of Approximating Jacobians
    GAMM 2005 in Luxembourg

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