 |
|
Maciek Korzec
Email: 
Phone: ++49(0) 30 20372 514
Fax: ++49(0) 30 2044975
Markgrafenstr. 32
10117 Berlin
Germany
|
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:
|
|
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.
|  |
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 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. |
|
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
|
| | |
|
Number of visitors since 11th of March
Go to:
|
