Mathematics

Numerical Analysis - Scientific Computing Faculty:

• Thomas Hayden, Professor, Ph.D., University of Texas, 1961.
  Matrix minimization problems.
• Sung Ha Kang, Assistant Professor, Ph.D., University of California at Los Angeles, 2002.
  Image processing, Numerical analysis.
• Ren-Cang Li, Associate Professor, Ph.D., University of California at Berkeley, 1995.
  Numerical analysis, Scientific Computations.
• Jim Wells, Professor Emeritus, Ph.D., University of Texas, 1958.
  Matrix minimization problems.
• Qiang Ye, Professor, Ph.D., University of Calgary, 1989.
  Numerical analysis, Scientific Computations.

Current Doctoral Students:

• Kathryn J. Lybarger (Li)
• James Money (Kang & Li)
• Wei Zhang (Li)

Former Doctoral Students (1994-2003):

• Patrick Quillen, Solvers and Design Validation Group, The Mathworks, Inc,
  Ph.D., 2005, Generalizations of an Inverse Free Krylov Subspace Method for the Symmetric Generalized Eigenvalue Problem, Ye.
• Leonard Hoffnung, Solvers and Design Validation Group, UGS, 10824 Hope Street, Cypress, California, 90630, USA. Phone: (714)952-6500, Fax: (714)952-6600
  Ph.D., 2004, Subspace Projection Methods for the Quadratic Eigenvalue Problem, Ye/Li.
• Karen Walters, Arapahoe Community College, Littleton, CO,
  Ph.D., 2003, Variable Order Cascadic Multigrid Douglas.
• Jonathan Hu, Sandia National Labs,
  Ph.D., 2000, Cache Based Multigrid on Unstructured Grids in Two and Three Dimensions, Douglas.
• Mark Fahey U.S. Army Engineer Research and Development Center MSRC,
  Ph.D., 1998, Computation of the Bilinear Form, Bai.
• Abdulrakhim Aitbayev
  Ph.D., 1998, Orthogonal Spline Collocation for Nonlinear Elliptic Boundary Value Problems, Bialecki/Fairweather.
• Bingkun Li
  Ph.D., 1998, Discrete-time Orthogonal Spline Collocation Methods for Schrödinger-type Problems, Bialecki/Fairweather.
• Qingshan Qian
  Ph.D., 1997, Three Numerical Methods for Solving Generalized Algebraic Riccati Equations, Hayden/Bai.
• Zhuoming Lou
  Ph.D., 1996, Orthogonal Spline Collocation for Biharmonic Problems, Bialecki/Fairweather.
• Clark Wells
  Ph.D., 1996, An Improved Method for Sampling of Molecular Conformation Space, Hayden.
• D. Scott Dillery (Assistant Professor, Albion College)
  Ph.D., 1994, High-order Orthogonal Spline Collocation Schemes for Elliptic and Parabolic Problems, Bialecki.
• Yue Zhang
  Ph.D., 1994, Generalized Divide and Conquer Methods for Symmetric Matrix Eigenvalue Problems, Hayden.

Sample Qualifying Coursework for Doctoral Students:

• MA 522 - Matrix Theory and Numerical Linear Algebra I.
• MA 537 - Numerical Analysis.
• MA 622 - Matrix Theory and Numerical Linear Algebra II.
• MA 625 - Numerical Methods for Differential Equations.

Group Area Seminar Series

• Tuesday, 12:15-1:00 (327 McVey Hall)
• Wednesday, 3:30-4:30 (327 McVey Hall)

Resources of the Group

• MGNet, the Internet special interest area for multigrid, multilevel, multiscale, and domain decomposition methods.
• Lapack, the linear algebra software project.