High Performance Computing: algorithms and numerical methods.
Developed a home-grown parallel solver suite, including a BiCG solver,
a Cholesky factorization solver, and a hybrid method based on
Schur's complement integrating Cholesky with BiCG. The following
paper describes the solver suite.
A General Purpose Sparse Matrix Parallel Solvers Package,
C.H.Q.Ding and F.D.Ferraro, in Proceedings of 9th IEEE International
Parallel Processing Symposium, pp.70-76. 1995.
(This and the graph partitioner of previous paper were used for
a Kalman Filter problem used in climate data assimilation package.)
Use Aztec sparse solver package on a nonlinear flow equation:
High Performance
Computations for Large Scale Simulations of Subsurface Multiphase Fluid
and Heat Flow. E. Elmroth, C.H.Q. Ding and Y.-S. Wu.
Proc. Supercomputing'99. Nov 1999.
An expanded version to appear in Journal of Supercomputing,
v.18, No.3, 2001.