Selected Publications of Pieter de Groen

• Research interests: Numerical Analysis, Differential equations & Singular Perturbations.

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• Reprints of the non-linked publications are available upon request:
  • W. Jacquet, E. Nyssen, P. Bottenberg, H. Devreese, B. Truyen and P. de Groen, Overlap insensitive image registration combining MI and feature points, preprint submitted for publication.
  • W. Jacquet, E. Nyssen, P. Bottenberg, B. Truyen and P. de Groen, 2D image registration using focused mutual information for application in dentistry, preprint, published in Computers in Biology and Medicine, 39 (2009) 545-553.
  • Naik, N., Eriksson, J., de Groen, P., Sahli, H., A Nonlinear Iterative Reconstruction and Analysis Approach to Shape-Based Approximate Electromagnetic Tomography , IEEE Transactions on Geoscience and Remote Sensing, Volume 46, Issue 5, May 2008 Page(s): 1558 - 1574, Digital Object Identifier 10.1109/TGRS.2008.916077
  • Georgi Karadzhov, David Edmunds and Pieter de Groen, Local stability of spike steady states in a simplified Gierer-Meinhardt system,
    Electron. J. Diff. Eqns., Vol. 2005(2005), No. 54, pp. 1-22 (pdf). corresponding ps-file
  • Pieter de Groen and Georgi Karadzhov, Metastability in the shadow system for Gierer-Meinhardt's equations,
    Electr. J. Diff. Eq., Vol. 2002(2002), No. 50, pp. 1-22: (pdf).
  • P. de Groen and G. Karadzhov, Slow traveling waves on a finite interval for Burgers' type equations, Journal of Computational and Applied Mathematics, vol 132, pp 155 - 189, 2001:
  • P.P.N. de Groen and G.E. Karadzhov, Exponentially slow travelling waves on a finite interval for Burgers' type equation, Electronic journal of differential equations (EJDE), vol 1998 (1998), no 30, pp 1-38.
  • P.P.N. de Groen, An introduction to Total Least Squares, Nieuw Archief voor Wiskunde, 14, no 2, 1996, pp. 237 - 254.
  • R. Finsy, P. de Groen, L. Deriemaeker, E. Gelade & J. Joosten, Data analysis of multi-angle Photon Correlation measurements , Particle & Particle Systems Characterization, 9 (1992), pp 237-251.
  • P.P.N. de Groen, Base-p-cyclic reduction for tridiagonal systems of equations , Applied Numerical Math. 8 (1991), pp. 117-125.
  • L. Beernaert, S. Van Praet, D. Roose & P. de Groen, Parallel Gaussian Elimination, iPSC/2 hypercube versus a Transputer network. in: G. Golub & P. Van Dooren (eds.), Numerical linear algebra, digital signal processing and parallel algorithms , NATO-ASI series F, Springer Verlag, Berlin, 1990, pp. 477-484.
  • P.P.N. de Groen, A counterexample on vector norms and the subordinate matrix norms , The American Mathematical Monthly, 97 (1990) pp. 406-407.
  • P.P.N. de Groen & M. van Veldhuizen, A Stabilized Galerkin Method for Convection-Diffusion Problems, SIAM Journal on Scientific and Statistical Computing, 10 (1989) pp. 274-297.
  • R. Finsy, P.P.N. de Groen, L. Deriemaeker & M. Van Laethem, Singular Value Analysis and Reconstruction of Photon Correlation Data Equidistant in Time , Journal of Chemical Physics, 91 (1989) pp. 7374-7384.
  • P.P.N. de Groen, A Singular Perturbation Problem with Boundary and Turning Point Resonance, Applied Mathematics Letters, 1 (1988), pp. 49-51.
  • P.P.N. de Groen & B. De Moor, The fit of a sum of exponentials to noisy data, Journal of Computational and Applied Mathematics 20 (1987) pp. 175-187.
  • P.P.N. de Groen & M. Hermann, Bidirectional shooting, a strategy to improve the reliability of shooting methods for ODE, Siam Journal on Scientific and Statistic Computing, 5 (1984) pp. 360-369.
  • P.P.N. de Groen, A finite element method with a large mesh-width for a stiff two-point boundary value problem, Journal of Computational and Applied Mathematics, 7 (1981) pp. 3-16.
  • P.P.N. de Groen, The nature of resonance in a singular perturbation problem of turning point type, SIAM Journal on Mathematical Analysis, 11 (1980), pp. 1-22.
  • P.P.N. de Groen & P.W. Hemker, Error bounds for exponentially fitted Galerkin methods applied to stiff two-point boundary value problems, In: Numerical analysis of singular perturbation problems, eds. P.W. Hemker and J.J.H. Miller, pp. 217-249, Aademic Press inc., New-York & London, 1979.
  • P.P.N. de Groen, Singular perturbations of spectra, In: Asymptotic analysis from theory to application, ed. F. Verhulst, Lecture Notes in Mathematics 711 (1979) pp. 9-32, Springer-Verlag, Berlin.
  • P.P.N. de Groen, Singularly perturbed differential operators of second order, Math. Centre Tract 68 , Mathematisch Centrum Amsterdam, 1976 (monograph).
  • P.P.N. de Groen, A singular perturbation problem of turning point type, In: New developments in differential equations, Proceedings of the second Scheveningen conference on differential equations, ed. W. Eckhaus, North-Holland Mathematical Studies 21 (1976) pp. 117-124, North-Holland Publ. Co., Amsterdam.
  • P.P.N. de Groen, Spectral properties of second order singularly perturbed boundary value problems with turning points, Journal of Mathematical Analysis and Applications, 57 (1977) pp. 119-149.