Publications in journals and proceedings

Gerard L.G. Sleijpen and Martin B. van Gijzen, Exploiting BiCGstab(ℓ) strategies to induce dimension reduction, Delft University of Technology, Reports of the Department of Applied Mathematical Analysis, Report 09-02

T.P. Collignon and M.B. van Gijzen, Solving Large Sparse Linear Systems Efficiently on Grid Computers using an Asynchronous Iterative method as Preconditioner, Delft University of Technology, Reports of the Department of Applied Mathematical Analysis, Report 08-08

Gerard L.G. Sleijpen, Peter Sonneveld and Martin B. van Gijzen, Bi-CGSTAB as an induced dimension reduction method, Delft University of Technology, Reports of the Department of Applied Mathematical Analysis, Report 08-07

T.P. Collignon and M.B. van Gijzen, Two Implementations of the Preconditioned Conjugate Gradient Method on a Heterogeneous Computing Grid, with Application to 3D Bubbly flow Problems. Submitted to: Int. J. of Applied Mathematics and Computer Science

Collignon, T.P., van Gijzen, M.B.: Parallel Scientific Computing on Loosely Coupled Networks of Computers. Submitted to: Advanced Computational Methods in Science and Engineering, LNCS (book chapter)

Peter Sonneveld and Martin B. van Gijzen, IDR(s): a family of simple and fast algorithms for solving large nonsymmetric linear systems. SIAM J. Sci. Comput. Vol. 31, No. 2, pp. 1035-1062. (copyright SIAM)

C. Sensiau, F. Nicoud, M. van Gijzen, and J.W. van Leeuwen, A comparison of solvers for quadratic eigenvalue problems from combustion. International Journal for Numerical Methods in Fluids, vol. 56, issue 8, pp. 1481-1487

The IDR(s) method for solving nonsymmetric systems: a performance study for CFD problems. Martin B. van Gijzen and Peter Sonneveld. Proceedings of RIMS 2007.

M.B. van Gijzen, Y.A. Erlangga, and C. Vuik. Spectral analysis of the discrete Helmholtz operator preconditioned

with a shifted Laplacian. SIAM Journal on Scientific Computing, Vol. 29, pp. 1942-1958.

T. Collignon, T. and M.B. van Gijzen. Implementing the Conjugate Gradient Method on a grid computer. In:  Proceedings of the International Multiconference on Computer Science and Information Technology, pages 361-370. (CD-ROM).

Pieter van Heerbeek, Martin van Gijzen, Kees Vuik, and Marcel de la Fonteijne, Numerical modeling of a pulse combustor. Limiting conditions of stable operation. Proceedings of COMBURA 2007, pages 49-50.

M.B. van Gijzen, Y.A. Erlangga, and C. Vuik, Estimation of the optimal shift for the discrete Helmholtz operator preconditioned with a shifted Laplacian.  PAMM Proc. Appl. Math. Mech. 7, 2020075–2020076 (2007). Proceedings of ICIAM07, 2007.

F. Chaitin-Chatelin and M.B. van Gijzen, Analysis of parameterised Quadratic Eigenvalue Problems in Computational Acoustics with Homotopic Deviation Theory. Numerical Linear Algebra with Applications. Vol 13, 2006, pp. 487-512

Daniel Loghin, Martin van Gijzen, and Eline Jonkers, Bounds on the eigenvalue range and on the Field of Values of non-Hermitian and indefinite finite element matrices.  Journal of Computational and Applied Mathematics. Vol 189 Issue 1-2, 2006  pp 304-323

M.B. van Gijzen and Y. A. Erlangga, Convergence bounds for preconditioned GMRES using element-by-element estimates of the field of values, Proceedings of the ECCOMAS-CFD 2006 conference (CD-ROM).

J. van den Eshof, G.L.G. Sleijpen, and M.B. van Gijzen, Restarted GMRES with inexact matrix-vector products. Proceedings of NAA2004, Lecture Notes in  Computer Science, Vol 3401, 2005, pp. 494-501

J. van den Eshof, G.L.G. Sleijpen, and M.B. van Gijzen, Relaxation strategies for nested Krylov methods.  Journal of Computational and  Applied Mathematics. Vol 177, Issue 2, 2005, pp. 347-365

J. van den Eshof, G.L.G. Sleijpen, and M.B. van Gijzen, Iterative linear system solvers with approximate matrix-vector products.  In: QCD and Numerical Analysis III , Lecture Notes in  Computational Science (Artan Borici, Andreas Frommer, Balint Joo, Anthony D. Kennedy, and Brian Pendleton Editors), Vol. 47, Springer, Berlin, Heidelberg, New York (2005)

L. Giraud and M.B. van Gijzen, Large scale acoustic simulations on clusters of SMPs, In: Integral Methods in Science and Engineering (C. Constande, M. Ahues, and A. Largillier Editors),
Birkhauser, Boston, (2004), pp. 61 – 66.

M.B. van Gijzen. Two level parallelism in a stream-function model for global ocean circulation.
Proceedings of EURO-PAR 2003, Lecture Notes in Computer Science, 2790, 2003, pp. 820-829.

J. van den Eshof, G.L.G. Sleijpen, and M.B. van Gijzen, Efficient iteration methods for Schur complement systems, Proceedings of NACoM 2003, pp. 65-68, 2003.

P.A. van Walree, M.B. van Gijzen, and M. Pattipeilohy, Acoustic communication experiments in the Westerschelde shipping lane using direct sequence spread spectrum signals, Proceedings of the 6th European Conference on Underwater Acoustics ECUA 2002, Gdansk, Poland, 2002.

P.A. van Walree, M.B. van Gijzen, D.G. Simons, Analysis of a shallow-water acoustic communication channel, Proceedings of the fifth European Conference on Underwater Acoustics, pp. 561-566, Lyon, July 2000.

M.B. van Gijzen, P.A. van Walree, D. Cano, J.M. Passerieux, A. Waldhorst, R. Weber, and C. Maillard. The ROBLINKS underwater acoustic communication experiments, Proceedings of the fifth European Conference on Underwater Acoustics, pp. 555-560, Lyon, 2000.

M. B. van Gijzen, P.A.van Walree, D. Cano, J.M. Passerieux, A. Waldhorst, and R. Weber. Advances in the ROBLINKS project on long-range shallow-water robust acoustic communication links, Proceedings of EurOCEAN 2000, Hamburg, 2000.

M.B. van Gijzen, and P.A. van Walree, Shallow-water acoustic communication with high bit rate BPSK signals, Proceedings Oceans 2000, pp. 1621-1624, Providence, RI, 2000.

M.B. van Gijzen, The parallel computation of the smallest eigenpair of an acoustic problem with damping. International journal for numerical methods in engineering, 45, 1999, pp. 765-777.

M. B. van Gijzen, C. B. Vreugdenhil, and H. Oksuzoglu, The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains, J. Comp. Phys., 140, 1998, pp. 30-46. (copyright JCP)

Jan Barkmeijer, Martin van Gijzen and Francois Bouttier, <>Singular vectors and estimates of the analysis-error covariance metric, Q.J.R. Meteorol. Soc., 124, 1998, pp. 1695-1713.

Daniel Cano, Martin van Gijzen, Andreas Waldhorst, Long Range Shallow Water Robust Acoustic Communication Links ROBLINKS, In: Third European Marine Science and Technology Conference, Lisbon, Volume III, pp. 1133-1136, 1998.

M.B. van Gijzen, G.L.G. Sleijpen, and A.J. van der Steen, The data-parallel iterative solution of the finite element discretization of stream-function models for global ocean circulation, Proceedings 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Part III, Computational Physics, Biology, and Chemistry, pp. 479-484, edited by A. Sydow, et. al, Wissenschaft and Technik Verlag, August 24-29, Berlin 1997.

M.B. van Gijzen, GMRES-like methods on distributed memory computers. IMACS Series in Computational and Applied Mathematics, 3, 1996, pp. 45-56.

M.B. van Gijzen, Parallel ocean flow computations on a regular and on an irregular grid. Lecture Notes in Computer Science, 1067, 1996, pp. 207-212.

Gerard Sleijpen, Henk van der Vorst, and Martin van Gijzen, Quadratic eigenproblems are no problem. SIAM News, Vol. 29, Nr. 7, 1996.

M.B. van Gijzen, Conjugate Gradient-like solution algorithms for the Mixed Finite Element Approximation of the Biharmonic Equation applied to Plate Bending Problems. Computer Methods in Applied Mechanics and Engineering, 121, 1995, pp. 121-136.

M.B. van Gijzen, A Polynomial Preconditioner for the GMRES algorithm. Journal of Computational and Applied Mathematics, 59, 1995, pp. 91-107.

M.B. van Gijzen, Large scale finite element computations with GMRES-like methods on a Cray Y-MP. Applied Numerical Mathematics, 19, 1995, pp. 51-62.

M.B. van Gijzen, Parallel iterative solution methods for linear finite element computations on the CRAY T3D. Lecture Notes in Computer Science, 919, 1995, pp. 723-728.

M.B. van Gijzen, Iterative solution methods for linear equations in finite element computations, PhD-thesis, Delft University of Technology, Delft, 1994.

M.B. van Gijzen, Clustering of Elements in EBE-Preconditioners. In: DIANA Computational Mechanics '94, edited by G.M.A. Kusters and M.A.N Hendriks, Dordrecht, 1994, pp. 297-306.

M.B. van Gijzen, An analysis of element-by-element preconditioners for nonsymmetric problems. Computer Methods in Applied Mechanics and Engineering, 105, 1993, pp. 23-40.