Gerard Sleijpen (* 1950) studied physics and mathematics at the
University of Nijmegen. He received his M.Sc. in 1972, and
his Ph.D. in 1976.
Until 1981 he did research in Harmonic Analysis, Functional Analysis
and Measure Theory. In 1981, he was appointed to the
Department of Mathematics of the Utrecht University. Since then
he works in the field of Numerical Analysis.
From 1981-1990 he concentrated on numerical methods for partial differential equations.
Since 1991 his research focuses on numerical linear algebra problems
associated with large sparse systems of equations. He designed, improved, and
analized algorithms from the Bi-CGSTAB family for the iterative
solution of linear systems and methods of Davidson and Jacobi-Davidson
type for the iterative solution of (generalized) eigenvalue problems
and other (weakly) non-linear problems.
The methods in which he is interested in are effective specifically
in cases where the systems are large sparse and non-symmetric.
Bi-CGSTAB and its extensions as BiCGstab(ell) are among the most
efficient and robust iterative methods for solving large sparse linear
systems of equations.
For the work on the Jacobi-Davidson methods, the Society for
Industrial and Applied Mathematics (SIAM) awarded him and his co-author
with the SIAM Activity Group on Linear Algebra (SIAG/LA)
Prize 1997 for one of the two most outstanding papers in applicable
linear algebra published during 1993-1996.
In practice, iterative methods need preconditioning. He also
analized the effects of preconditioning both for linear equations as
well as for eigenvalue problems. Further, he contributed to the theory
of convergence and stability of well-established methods as CG, MINRES,
SYMMLQ, etc..
The work on iterative methods is mostly joint work with Prof.
Dr.
and Dr.
.
Further he worked on problems from Quantum Chemistry,
Environmental Chemistry, Electronics, and high performance
optimization.
Gerard Sleijpen was somehow involved in the research of a number of
PhD students at Utrecht University.
Below you find a list of their names
with the titles of their thesis, location and date of graduation
(if applicable), name of the school, name of the advisor(s).