P.W. Hemker

Who am I?
my picture


Centrum voor Wiskunde en Informatica
E-mail: pieth@cwi.nl

Research interests

  • Numerical solution of Boundary Value Problems
  • Multigrid Methods
  • Defect Correction Techniques
  • Computational Fluid Dynamics
  • Alignment of mathematical models with biological phenomena
  • Mathematical software
  • Numerical solution of Singularly Perturbation Problems
  • See e.g.

  • Space mapping and defect correction:
    A trust-region strategy for manifold mapping optimization (paper with Echeverria). (pdf)
    Space mapping and defect correction (paper with Echeverria).
  • Multigrid for discontinuous Galerkin:
    Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation (paper with van Raalte).
    Fourier two-level analysis for discontinuous Galerkin discretization with linear elements (paper with Hoffmann and van Raalte).
    Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretisation (paper with Hoffmann and van Raalte).
  • Solution of singular perturbation problems:
    Application of the over-set grid technique to a model singular perturbation problem (paper with Havik and Hoffmann).
    Application of an adaptive sparse-grid technique to a model singular perturbation problem (paper with Jaap Noordmans).
  • Multigrid, Semi-refinement and Fluid Flow:
    paper with B.Koren, W.M.Lioen, M.Nool and H.T.M.van der Maarel .
    paper with B.Koren and J.Noordmans .
  • Approximation on Partially Ordered Sets of Regular Grids:
    paper with C.Pflaum .
  • Epsilon-uniform methods for singular perturbation problems:
    High-Order Time-Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems with Robin Boundary Conditions
    (paper with G.I. Shishkin and L.P. Shishkina)
  • Publication list

    See the lists of my papers, books or other publications with links to all my publications.

    Editorial duties

    Associate editor of Computational Methods in Applied Mathematics (CMAM)

    Research team

    Until December 2001 I was leader of CWI's research programme Modeling, Analysis and Simulation.

    January 2002 I was elected CWI fellow, which implies freedom from administrative duties and full freedom in research.

    December 2006 I retired both from CWI and from UvA. Since then I am emeritus at the Univerity of Amsterdam.

    Since 2007 I'm running my own institute: IPIR .

    Regular meetings

  • As a rule, weekly discussions on work in progress are held at CWI.
  • Regular CWI meetings
  • Recent events

  • BAIL 2014, International Conference on Boundary and Interior Layers - Computational & Asymptotic Methods
    September 15-19th, 2014, Department of Numerical Mathematics. Charles University, Prague.
  • International Workshop on Algorithms and Software for Scientific Computing , Vienna, Austria, July 8-9 2014
    in combination with the annual business meeting of the IFIP WG 2.5, July 10-11 2014.
  • International Symposium on Numerics and Scientific Computing in Honour of the 75th Anniversary of D. Braess and the 65th Anniversary of W. Hackbusch –
    Schloss Bruchsal, Bruchsal, Germany, October 22 - 24, 2013. (contribution)
  • CMAM-4 – International Conference: Computational Methods in Applied Mathematics – The Mathematical Research and Conference Center, Będlewo, Poland, June 20 – 26th, 2010. (contribution)
  • BAIL 2008 , International Conference on Boundary and Interior Layers - Computational & Asymptotic Methods. Limerick, Ireland, July 28th - August 1st, 2008.
  • 5-th European Congress of Mathematics, Amsterdam, 14 - 18 July, 2008.
  • Oberwolfach Meeting: Schnelle Löser für Partielle Differentialgleichungen. May 18 - 24, 2008.
  • IFIP WG 2.5 Meeting and Workshop, Workshop on Software Issues in Computational Science and Engineering (Uppsala University, Sweden, August 15-16, 2007) (location)
  • CMAM-3, 3d International Conference Computational Methods in Applied Mathematics. 2007, Minsk, Belarus, June 26 - 30. (pictures)
  • 43e NMC, Nederlands Mathematisch Congres, Leiden, Thursday 12 en Friday 13 April 2007.
  • SMSMEO-06, Surrogate Modelling And Space Mapping For Engineering Optimization, Technical University of Denmark November 9-11, 2006. ( pdf, pdfA)
  • Ehrenkolloquium aus Anlass des 60. Geburtstags von Herrn Prof. Christian Großmann, Dresden, Germany, 6 October, 2006.
  • SCEE 2006, Scientific Computing in Electrical Engineering. Sinaia, Romenia, 17th - 22th September, 2006. ( pdf)
  • ECCOMAS CFD 2006 , European Conference on Computational Fluid Dynamics. Egmond aan Zee, The Netherlands, September 5-8, 2006.
  • BAIL 2006, International Conference on Boundary and Interior Layers - Computational & Asymptotic Methods. Goettingen, Germany, 24th - 28th July, 2006.
  • IFIP TC2 Working Conference 9 , "Grid-based Problem Solving Environments: Implications for Development and Deployment of Numerical Software" (Prescott, Arizona, USA, July 17 - 21, 2006)

  • Teaching

    my teaching 2000-1910 Teaching in 2000

    left: class in 2000.
    right: as predicted in 1910
    and the (in this context disastrous)
    Legacy of Hans Freudenthal
    HF HF

    2006 onward

    2005-2006 course

    2004-2005 course



    Mathematics communication

    "I have long argued that mathematicians ought to make a greater effort to communicate their ideas and research effectively not only to the general public but also to their own mathematical colleagues and to scientists and engineers. I have attended far too many mathematics lectures where even mathematicians quickly lose the talk's thread and begin to nod off, and I have glanced at too many research papers that fail to explain why a given topic is worth pursuing or to put the material in a broader context."

    Ivar Peterson

    Scholarly society Hollandsche Maatschappye der Weetenschappen te Haarlem .

    De Koninklijke Hollandsche Maatschappij der Wetenschappen. Societ.Scient.batavo

    The Institute for Pure Incomprehensible Research:



  • Self-corruption in Dutch education:

    Picture of the board (until 2010) of the Dutch educational institution "InHolland".

  • A similar attitude we notice, e.g., with B. Molenkamp, the chairman of the Board at Amarantis Onderwijsgroep; member of the board at ROC ASA; director at KBP.
    The fragment below is a quote from Nieuw Amserdams Peil (20 febr 2009).


    Huurprijs van het kantoor aan de Zuidas (voor 25 personeelsleden) 420.000,00 Euro/jaar. B. Molenkamp in de Bijlmerbajes zetten wegens onverantwoordelijk omgaan met onderwijsgelden lijkt mij voor het onderwijs beter dan hem --nadat hij in 2011 Amarantis praktisch failliet heeft achtergelaten en daar met een vertrekpremie van 250.00,00 Euro is vertrokken-- `voorzitter' van het eenhoofdig CvB van het ROC Rivor te maken. Ik denk dan ook dat dit zonder vriendjespolitiek (Dutch corruption) niet mogelijk is geweest.
  • The study of corruption in the Netherlands and the treatment of whistleblowers is a most interesting subject that still needs more serious attention.

  • De Nederlandse rechters dienen van onbesproken gedrag te zijn, maar ze zijn dat niet! (23 november 2012)
    De oud-rechters Pieter Kalbfleisch en Hans Westenberg zijn vandaag vrijgesproken. Zij werden ervan beschuldigd te hebben gelogen onder ede in de Chipsholzaak. Er was te weinig bewijs hiervoor, oordeelde de rechtbank in Utrecht vrijdag.

  • Wordt Nederland met deze justitie een corrupte politiestaat?
  • Know your today's history
  • It continues
  • My view

  • Useful links

  • Library of the Universiteit van Amsterdam
  • The Institute for Purely Incomprehensible Research: IPIR
  • The Numerical Analysis network: NANet and netlib
  • The MultiGrid network: MGnet
  • The IFIP Working Group WG 2.5: Working Group 2.5 on Numerical Software
  • ERCIM: the European Research Consortium for Informatics and Mathematics
  • The "Wiskundig Genootschap": WG (dutch).
  • The library NUMAL of ALGOL 60: NUMAL
  • Math literature disclosed: MathGuide
  • C.J.Hemker's Groundwater Flow Package: Micro-Fem
  • Homepage MARIN MAritime Research Institute Netherlands Wageningen ( MARIN)
  • Lives of mathematicians.
  • De latitudinibus formarum (1395),
  • 2000 Mathematics Subject Classification: AMS Classification
  • My personal web-site: at the moment the original website is not in the air, use its mirror .