About me. Since July 2011, I have been holding a Full Professor position at the Department of Mathematics, The Pennsylvania State University. I received my Ph.D. degree in Mathematics from Sofia University "St. Kliment Ohridski" in Sofia, Bulgaria in 1995.
I am working in the general area of computational mathematics. My research is focused on numerical methods for partial differential equations; numerical linear algebra; multilevel methods for linear systems and optimization; nonlinear approximation tools in compression of data and machine learning; and the applications of such mathematical techniques in hydrogeology, resource economics, physics and other sciences.
Publications (MathSciNet links require a subscription).
[html (Google Scholar)] [bibtex (MathSciNet)] [html (MathSciNet)]
[html (arxiv)] [html (Zentralblatt MATH)] [html (Math-Net.Ru)]
Ph.D. students.
Undergraduate research.
Software. Together with Xiaozhe Hu (Tufts) and James Adler (Tufts) I am one of the authors of the HAZmath: A Simple Finite Element, Graph, and Solver Library, which provides basic finite element and graph routines.
Research support. The research support by the National Science Foundation (NSF), US Department of Energy (DoE), and the Penn State's Center for Computational Mathematics and Applications (CCMA) is gratefully acknowledged. List of past and current NSF awards in which I have been (or I am) a CoPI or the PI is found here.
Miscellaneous info. I have a finite Erdös-Bacon number (small world, eh...) This is the sum of one's Erdös number and the one's Bacon number. The former can be found using the collaboration distance tool on MathSciNet; and the latter can be found using The Oracle of Bacon (Documentaries and TV shows/series should be included as additional options in my case). A quick search shows that my Erdös-Bacon number is equal to 6 (click here for more info). One may read more about the Erdös-Bacon number on Wikipedia http://en.wikipedia.org/wiki/Erdös_Bacon_number.
Contact info.
Ludmil Zikatanov,
Department of Mathematics,
239 McAllister building,
Penn State,
University Park, PA, 16802
Skype ID: ltz.math
E-mail: <ludmil AT psu DOT edu>