Teaching

• Discrete Mathematics for Computer Science
• Introduction to programming and problem solving
• Algorithm Design and Analysis
• Introduction to Scientific Computation (ECS 130 Winter 2010)
• Large Scale Scientific Computing (ECS 231 Winter 2010)
• Applied Parallel Scientific Computing

Publications

• Recent publications
• Numerical Methods for Quantum Monte Carlo Simulations of the Hubbard Model, 114 pages. In ``Multi-Scale Phenomena in Complex Fluids'' edited by Thomas Y. Hou, Chun Liu and Jian-Guo Liu, Higher Education Press, China, Feb. 2009 (ISBN-9787040173581)
  An early version appeared as Technical Report CSE-2007-36, Department of Computer Science, UC Davis, Dec.4, 2007 and revised on Feb.25, 2008.
• From Self-consistency to SOAR: Solving Large-Scale Nonlinear Eigenvalue Problems, SIAM News, April 2006. pdf file of the article and webpage
• LAPACK Users' Guide, 3rd Edition, by E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen, xxvi+407 pages, SIAM, 1999
• Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst eds., SIAM, 2000, xxix+410 pages.
• More publications

Software

• LAPACK
  
• Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
• PETAMAT a collection of software for the project on ``Next Generation Multi-Scale Quantum Simulation Software for Strongly Correlated Materials''
• NEP Collection in MatrixMarkt, a collection of test matrices for large scale nonsymmetric eigenvalue problems.
• SRRIT: simultaneous iteration method for calculating the dominant invariant subspace of a nonsymmetric matrix (Algorithm 776 in ACMS TOMS, Vol.23, 1997) article (pdf file)
• Matlab routines and test data for a tutorial on reduced-order modeling of large scale dynamical systems by Krylov subspace-based methods.

  For information about the following software, please contact bai@cs.ucdavis.edu

• SUGAR: a simulation tool for MEMS devices
• PRISM: parallel research on invariant subspace methods for solving eigenvalue problems.
• Matlab codes for numerical computation of quadratic forms involving large-scale matrix functions
• Fortan routines of methods (QZ-based, matrix sign function, and inverse-free iteration) for solving generalized algebraic Riccati equations

Journal links

• ACM Transactions on Mathematical Software (ACM TOMS)
• SIAM Journal on Matrix Analysis and Applications (SIMAX)
• Journal of Computational Mathematics

Links

• Scientific Computing Group at LBL
• Melvyl
• Nick Higham's Matrix Computation Toolbox for MATLAB
• Eric Bai's prize-winning draw (8 years old)