Professional biography sketch

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.


The list of publications (pdf, ps.gz).



PhD Thesis & Mathematical Genealogy

Gerard L.G. Sleijpen
"Convolution measure algebras on semigroups"
Nijmegen, March 1976
Catholic University of Nijmegen
Advisor: Arnoud M.C. van Rooij
Mathematical Genealogy (scientific "roots") of Gerard Sleijpen

Erdös number   4:
Erdös>Alen Hoffman>Gene Golub>Henk van der Vorst>Gerard Sleijpen


PhD students

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).


    • ,
      " Internal Waves and the Poincare Equation"
      Utrecht, July 11, 2007
      Dept. of Math., Utrecht University
      Advisor 1: Prof.Dr.
      Advisor 2: Prof.Dr. Leo Maas
      Advisor 3: Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.

    • ,
      "Methods for eigenvalue problems with applications in model order reduction"
      Utrecht, June 25, 2007,
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl. )





    • ,
      "Semidefinite programming, a spectral approach"
      Utrecht, June 5, 2002,
      Dept. of Math., Utrecht University
      Advisor 1: Prof.Dr.
      Advisor 2: Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.)

    • ,
      "Domain decomposition in the Jacobi-Davidson method for eigenproblems"
      Utrecht, September, 2001
      Dept. of Math., Utrecht University
      Advisor 1: Prof.Dr.
      Advisor 2: Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.)

    • ,
      "Subspace methods for linear, non-linear and eigen problems"
      Utrecht, October 29, 1996
      Dept. of Math., Utrecht University
      Advisor 1: Prof.Dr.
      Advisor 2: Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.)

    • ,
      "Superconvergence Phenomena in Finite Element Methods"
      Utrecht, January 16, 1995
      Dept. of Math., Utrecht University
      Advisor 1: Prof.Dr.
      Advisor 2: Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.)

    • ,
      "Sorption of organic chemicals in sediment; sorption coefficient, sorption kinetics"
      Utrecht, 1992
      Dept. of Chemistry, Utrecht University
      Advisor: Prof.Dr. W. Seinen

    • ,
      "Numerical Methods for Reliability Analysis of Electric Power Generating Systems"
      Utrecht, June 1992
      Department of Science, Technology and Society, Utrecht University
      Advisor: Prof.Dr. W.C. Turkenburg

    • ,
      "On the Validity of Local Mode Analysis of Multi-Grid Methods"
      Utrecht, December, 1990
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.

    • ,
      "Convergence analysis of nonlinear multigrid methods"
      Utrecht, 1988
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.

    • ,
      "Stability analysis of finite difference methods for fourth order paraboloc partial differential equations"
      Utrecht, January 30, 1984
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.
      (Free copies available. Send a mail to sleijpen@math.uu.nl.)

    • ,
      "Solutions of functional differential equations",
      Utrecht, May 12, 1982
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.

    • ,
      "Solution methods for operator equations",
      Utrecht, 1982
      Dept. of Math., Utrecht University
      Advisor: Prof.Dr.




      © Gerard L. G. Sleijpen   <G.L.G.Sleijpen@uu.nl>
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