Mathematics
Petr Plechac
Joint Faculty:
- Department of Mathematics - University of Tennessee
- Computer Science and Mathematics Division, Oak Ridge National Laboratory
For more information visit Personal Homepage
Email: plechac at math.utk.edu
Research
My current research interests include
- numerical analysis, computational methods for solving PDEs, multiresolution analysis and numerical algorithms, numerical methods for high-dimensional problems.
- multiscale computations and algorithms, applied stochastic analysis, Monte Carlo methods and sampling algorithms, coarse-graining menthods, statistical mechanics.
- computational methods in materials science, complex fluids and polymers.
- analysis of large data sets, parallel computing.
Selected Publications
Additional publications, including preprints in PDF and Postscript format, are available at Preprints.
- Numerical and statistical methods for the coarse-graining of many-particle stochastic systems.
to appear in J. Sci. Comp. (2008), (with M.A. Katsoulakis, and L. Rey-Bellet) (preprint) - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems.
ESAIM Math. Meth. Anal. Numer., 47, 627-660, (2007) (with M.A. Katsoulakis, L. Rey-Bellet and D. Tsagkarogiannos) (preprint) - Error analysis of coarse-graining for stochastic lattice dynamics.
SIAM J. Numer. Analysis, 2270-2296, (2006) (with M.A. Katsoulakis and A. Sopasakis), (SIAM reprint) - On self-similar singular solutions of the complex Ginzburg-Landau equation.
Comm. Pure and Appl. Math., 54, 1215-1242, (2001), (with V. Sverak), (preprint) - On functional separately convex hulls.
Discrete Comput. Geom. , 19, No.1, 105-130 (1998), (with J. Matousek) - Numerical solution of the scalar double-well problem allowing microstructure.
Math. Comput., 66, No.219, 997-1026 (1997), (with C. Carstensen)