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Maciek Korzec
Email: 
Phone: ++49(0) 30 20372 514
Fax: ++49(0) 30 2044975
Mohrenstr. 39
10117 Berlin
Germany
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Research interests
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Modeling of thin films, i.e. Quantum Dots growth |
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Partial differential equations of all kinds |
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Numerics |
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Existence theory |
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Dynamical Systems |
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General Nonlinear Optimization |
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Quadratic Programming |
Image processing with PDEs  |
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For numerical examples for simulation results of evolving solid surfaces click on the picture:
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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
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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
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| Matheon seminar for junior scientists... click here
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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
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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 |
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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. | |
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. |
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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
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Effect of Anisotropic Surface Energy in An Epitaxial Growth Model
SIAM conference, Miami, December 7-10th, 2009
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Comparison of two driven Cahn-Hilliard type equations
IMA workshop, Minneapolis, July 14-25th, 2008
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QR decomposition based linear algebra and QP aspects of the total quasi-Newton idea
DMV meeting, Berlin, 2007
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Numerical Linear Algebra for Jacobian free NLP solving
PARAOPT 2005 in Cairo, Egypt
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Low Rank Updating of Approximating Jacobians
GAMM 2005 in Luxembourg
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