Notes, Papers, and Articles

While doing research or studying a specific topic, I sometimes create detailed notes which may become useful later. I place such notes in this page, in case others may find them helpful also. In addition, I will put the slides from my presentations in our departmental graduate student semainars here. Moreover, I use this page to include additional research related links.

Some of my notes

Some notes on convolutions.
Some results on optimization in Hilbert spaces.
Some notes on Riemann-Lebesgue Lemma.
Some notes on Rellich's Theorem.
Homogenization of a 1-d elliptic equation.
A Note on stability of Linear Complementarity Systems (for Math 710A - Fall 07).
Slides on Stability of LCSs (For Math 710A - Fall 07).

Some of my Presentations in Graduate Student Seminars - UMBC:

Spring 2006.
Fall 2006.
Fall 2007.
Fall 2008.

PDE Links

arXiv.org e-Print archive - Los Alamos National Laboratory (LANL)
A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems

Chalmers Finite Element Center - Chalmers University of Technology, Goteborg, Sweden
An interdisciplinary unit at Chalmers University of Technology in the field of computational mathematical modeling and scientific-industrial computing.

Linear Methods of Applied Mathematics - Evans M. Harrell II and James V. Herod
An online textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Organized into nineteen chapters: Linearity, The geometry of functions, Fourier series, Calculating Fourier Series, etc.

Mathematical and Statistical Software
Pittsburgh Supercomputing Center, Carnegie Mellon University BLOCKSOLVE, EISPACK, FISHPACK, IMSL, NRL-3D, ODEPACK, PARPRE, PETSC, PJAC, RANPACK, SCALAPACK. Some packages require industrial or academic users to make special arrangements for usep; information is included in the documentation for the package.

Mathematics Journals: Electronic and Printed - Mathematics Dept., Penn State University
Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt fur Mathematik.

AP Analysis of PDEs (Front for the Mathematics ArXiv) - Univ. of California, Davis
Partial Differential Equation preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.

Optimization Links

Optimization online.