Maciek Korzec

Email:
Phone: ++49(0) 30 20372 514  
Fax: ++49(0) 30 2044975
Mohrenstr. 39  
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
Member of the Matheon project Modelling, asymptotic analysis and numerical simulation of the dynamics of thin film nanostructures on crystal surfaces
Member of SIAM
Main collaboration with Barbara Wagner, Peter Evans, Piotr Rybka, Andreas Münch, Robert Huth, Ernst Höschele, Margarita Naldzhieva, Dirk Peschka and Clemens Guhlke

Research interests

  • Modeling of thin films, i.e. Quantum Dots growth
  • Partial differential equations of all kinds
  • Numerics
  • Existence theory
  • Dynamical Systems
  • General Nonlinear Optimization
  • Quadratic Programming
  • Image processing with PDEs     phase separation wias logo
  • For numerical examples for simulation results of evolving solid surfaces click on the picture:
    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. First steps with such methods 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 presented at the WIAS PhD student's seminar. It shows how to implement the method for problems like a simple Allen-Cahn equation, the Cahn-Hilliard equation or related on periodic domains. Some MATLAB example codes mentioned in the talk are available for download: diffusion.m , diffusion2d_euler.m, diffusion2d_psm.m, diffusion2d_euler_impl.m, sd_vs_fd.m, trilap.m
    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
  • Publications in preparation

  • On a higher order convective Cahn-Hilliard type equation
    M.D. Korzec and P. Rybka, 2010.
  • Global weak solutions to a sixth order Cahn-Hilliard type equation
    A. Bodzenta, M. D. Korzec, P. Nayar and P. Rybka, 2010
  • 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

  • Reduced models for the self-assembly of thin crystalline nanostructures
    SIAM conference, Philadelphia, May 22-26th, 2010
  • Effect of Anisotropic Surface Energy in An Epitaxial Growth Model
    SIAM conference, Miami, December 7-10th, 2009
  • Comparison of two driven Cahn-Hilliard type equations
    IMA workshop, Minneapolis, July 14-25th, 2008
  • QR decomposition based linear algebra and QP aspects of the total quasi-Newton idea
    DMV meeting, 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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