The project is a collaborative effort between mathematicians at the University of Massachusetts, Amherst, and University of Delaware and chemical engineers at the University of Delaware. The individual groups are listed under the corresponding links in the left panel on this page
Universities & Departments
The computational and mathematical parts of the research are conducted at the Department of Mathematical Sciences, University of Delaware. Analysis of mathematical methods is carried in close collaboration with applied mathematics group at University of Massachusetts at Amherst. Applications of proposed mathematical techniques and implementation of computational methods in engineering problems is done at the School of Chemical Engineering, University of Delaware.
Principle Investigators
University of Delaware
Prof. Petr Plechac
Department of Mathematical Sciences · University of Delaware · Newark, DE 19716
302-831-0637 (direct), 302-831-4511 (Fax)
Email: plechac@udel.edu
Research interests:
- 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.
Prof. Dionisios G. Vlachos
325 CLB · University of Delaware · Newark, Delaware 19716
302-831-2830 (phone), 302-831-1048 (fax)
Email: vlachos@udel.edu
Prof. Vlachos’ research group leads the development of hierarchical, multiscale models and simulations and their validation with a hierarchy of experiments over a multitude of length and time scales. Specific applications encompass catalysis and portable microchemical devices for power generation, sustainable energy, detailed reaction mechanism development, reactor design, nucleation and growth of nanomaterials (e.g., zeolites), rational design of nanomaterials and catalysts, scale-up of self-assembly and self-organization (e.g., in heteroepitaxy), fabrication of and transport in microporous thin films for separation and reaction, and molecular cell biology for cancer control.
University of Massachusetts at Amherst
Prof. Markos A. Katsoulakis
Department of Mathematics and Statistics · University of Massachusetts · Amherst, MA 01003
413-545-1331 (phone), 413-545-1801 (fax)
Email: markos@math.umass.edu
Postdocs, Students & Collaborators
