Mark’s research

I’m a Ph.D. student in computer science, studying scientific computing at the University of Illinois. My current research is investigating digital volume correlation, with my advisor Michael Heath and co-advisor John Lambros. My master’s research was on symplectic integrators. I also worked with ODE solvers and Python while at Livermore.

See my documentation page for documentation I’ve written on Fortran, LaTeX, BLAS, and LAPACK.

Papers and presentations

• Asynchronous multi-domain variational integrators (pdf), July 2007, US National Congress on Computational Mechanics
• M. Gates, K. Matous, M.T. Heath. Asynchronous multi-domain variational integrators for nonlinear problems. IJNME, accepted March 2008.
• Asynchronous multi-domain variational integrators for nonlinear problems (pdf), Spring 2007, Master’s thesis
• Explicit projective methods for stiff ODEs (pdf), Fall 2005, CS 591mh
• User-friendly Python interface to ODE solvers (html), Summer 2005, LLNL

Notes

• Linear algebra BLAS benchmarks for Lapack++, Boost uBLAS, MTL (matrix template library), tvmet (tiny vector matrix expression templates), TNT (template numerical toolkit), and my own implementations.

Useful code

• Fortran 90/95 getopt and getopt_long

Class projects

• Computation of Gauss quadrature rules (pdf), Spring 2008, CS 591mh
• Coarsening with compatible relaxation (pdf), Spring 2007, CS 550
• Spacetime discontinuous Galerkin method for hyperbolic conservation laws (pdf), Spring 2007, TAM 574
• High-performance network visualization (html), Fall 2005, CS 519
• Wavelets (pdf), Spring 2005, CS 591mh
• Parallel ILUT (pdf), Fall 2004, CS 591mh