Papers

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1. Hemker, H.C., Hemker, P.W. & Loeliger, E.A., 

     Kinetic aspects of the interaction of blood clotting enzymes. I. Derivation of basic formulas.
     
Thrombos. Diathes. Haemorrh. 13 (1965) 156-175. (E-9922) 

2. Hemker, H.C., Esnouf, M.P., Hemker, P.W., Swart, A.C.W. & MacFarlane R.G.,
     
Formation of prothrombin converting activity.
     
Nature 215 (1967) 248-251. (E-10102) 

3. Hemker, H.C. & Hemker, P.W.,
     
Kinetic aspects of the interaction of blood clotting enzymes. IV. Kinetics of competitive inhibition
     in clotting tests.
     
Thrombos. Diathes. Haemorrh. 19 (1968) 364-367. (E-10106) 

4. Hemker, H.C. & Hemker, P.W.,  
     
General kinetics of enzyme cascades.
     
Proc. Roy. Soc. Ser.B 173 (1969) 411-420. (E-10110) 

5. Hemker, H.C., Hemker, P.W., Torren, K.v.d., Devillee, P.P., Hermens, W.Th. & Loeliger, E.A.,   
    
The evaluation of a two-stage prothrombin assay.  
    
Thrombos. Diathes. Haemorrh. 25 (1971) 545-554. (E-10113) 

6. Hermens, W.Th., Hemker, H.C. & Hemker, P.W.,
     
On the theory of the generation of stable inhomogeneous states in homogeneous mixtures.  
     
In: Analysis and Simulation of biochemical systems (H.C. Hemker & B. Hess eds) pp. 19-37,
     North Holland Publ. Comp., 1972.  (E-10736) 

7. Hemker, P.W.,
     
Numerical methods for differential equations in system simulation and in parameter estimation.
     
In: Analysis and Simulation of biochemical systems (H.C. Hemker & B. Hess eds) pp. 59-80,
     North Holland Publ. Comp., 1972. (E-10737) 

8. Hemker, P.W.,
     
Criteria for transportable ALGOL libraries.
     
In: Portability of numerical software (W. Cowell ed.) pp. 145-157, Lecture Notes in Computer Science 57,
     Springer Verlag, 1977. (E-10116) 

9. De Groen, P.P.N. & Hemker, P.W.,
     
Error bouds for exponentially fitted Galerkin methods applied to stiff two-point boundary-value problems.
     
In: Numerical Analysis of Singular Perturbation problems (P.W. Hemker & J.J.H. Miller eds) pp. 217-249.
     Academic Press, London, 1979. (E-10738) (CWI report NW-062/78) (E-9006) 

10. Hemker, P.W.,
      
On the structure of an adaptive multi-level algorithm.
      
BIT 20 (1980) 289-301. (E-10734) (CWI report NW-065/79) (E-9003) 

11. Hemker, P.W.,
      
The Incomplete LU-decomposition as a relaxation method in multi-grid algorithms.
      
In: Boundary And Interior Layers - Computational and Asymptotic Methods (J.J.H. Miller ed.) pp. 306-311,
      Boole Press, Dublin, 1980. (E-10118) 

12. Hemker, P.W. & Schippers, H.,
      
Multiple grid methods for the solution of Fredholm integral equations of the second kind.
      
Math. Comp. 36 (1981) 215-232. (E-10144) (CWI report NW-075/79) (E-8993) 

13. Hemker, P.W.,  
       
Introduction to Multigrid Methods.
       
Nieuw Archief voor Wiskunde 29 (1981) 71-101. (E-10119) 

14. Polak, S.J., Wachters, A., Beelen, Th. & Hemker, P.W.,
      
A Mesh-Parameter Continuation method.  
      
In: Elliptic Problem Solvers (M.H. Schultz ed.) pp. 383-390, Academic Press, 1981. (E-10161)
     (CWI report NW-089/80) (E-10162) 

15. Hemker, P.W.,
      
A note on defect correction processes with an approximate inverse of deficient rank.
      
J. Comp. Appl. Math. 8 (1982) 137-139. (E-10163) (NN-23/81) (E-9109) 

16. Hemker, P.W.,
      
On the comparison of Line-Gauss Seidel and ILU relaxation in multigrid algorithms.
      
In: Computational and Asymptotic Methods for Boundary And Interior Layers.
      (J.J.H. Miller ed.) pp. 269-277,  Boole Press, Dublin, 1982. (E-2701) (CWI report NW-129/82) (E-6741) 

17. Hemker, P.W.,
      
An accurate method without directional bias for the numerical solution of a 2-D elliptic
      singular perturbation problem.
      
In: Theory and Applications of Singular Perturbations (W. Eckhaus & E.M. de Jager eds) pp. 192-206,
      LNM 942,  Springer Verlag, 1982. (E-10164) (CWI report NW-117/81) (E-8951) 

18. Hemker, P.W.,
      
Mixed defect correction iteration for the accurate solution of the convection diffusion equation.
      
In: Multigrid Methods (W. Hackbusch & U. Trottenberg eds) pp. 485-501, LNM 960,
      Springer Verlag, 1982. (E-10167) (CWI report NW-122/82) (E-8946) 

19. Hemker, P.W.,
      
The defect correction principle and its extensions.  
       
In: An Introduction to Computational and Asymptotic Methods for Boundary And Interior Layers
       (J.J.H. Miller ed.) pp. 11-45,    Boole Press, Dublin, 1982. (E-2579) (NN-24/81) 

20. Hemker, P.W.,
      
The use of defect correction for the solution of a singularly perturbed ODE.  
       
In: Procs of the third Conference on the Numerical Treatment of Ordinary Differential Equations
       (R. März ed.) pp. 91-104,   Seminarbericht Nr. 46, Humboldt Universität, Berlin, DDR, 1983. (E-011)
       (CWI report NW-139/82) (E-6715) 

21. Hemker, P.W.,
      
Numerical aspects of singular perturbation problems.
      
In: Asyptotic Analysis II (F. Verhulst ed.) pp. 267-287, LNM 985, Springer Verlag, 1983. (E-2593)
      (CWI report NW-133/82) (E-6737) 

22. Hemker, P.W. & De Zeeuw, P.M.,
      
Defect correction for the solution of a singular perturbation problem.
      
In: Scientific Computing (R.S.Stepleman et al. eds) pp. 113-118,
      North Holland Publ. Comp., 1983. (E-2065)
      (CWI report NW-132/82) (E-6738) 

23. Hemker, P.W., Kettler, R., Wesseling, P. & De Zeeuw, P.M.,
       
Multigrid Methods: Development of fast solvers.
      
Appl. Math. & Computat. 13 (1983) 311-326. (E-1879) (THD-report-83-05) 

24. Hemker, P.W.,
      
Multigrid methods for problems with a small parameter in the highest derivative.
       
In: Numerical Analysis, Procs. Dundee Conference 1983 (D.F. Griffiths ed.) pp. 106-121,
       Springer LNM 1066,  Springer Verlag, 1984. (E-2565)
       (CWI report NW-158/83) (E-6593) 

25. Hemker, P.W., Wesseling, P. & De Zeeuw, P.M.,
      
A portable vector code for autonomous multigrid modules  
      
In: PDE Software: Modules, Interfaces and Systems. (B. Engquist and T. Smedsaas eds) pp. 29-40,
      Procs. IFIP WG 2.5 Working Conference North Holland Publ. Comp., 1984. (E-1818)
      (CWI report NW-154/83) (E-6605) 

26. Hemker, P.W.,
       
Multigrid Algorithms Run On Supercomputers.
       
Supercomputer 4 (1984) 44-51. (E-10177) 

27. Böhmer, K., Hemker, P. & Stetter, H.J.,
       
The Defect Correction Approach.
       
Computing Suppl. 5 (1984) 1-32. (E-1831) 

28. Hemker, P.W.,
       
Mixed Defect Correction Iteration for the Solution af a Singular Perturbation Problem.
       
Computing Suppl. 5 (1984) 123-145. (E-2525) (CWI report NW-162/83) (E-6559) 

29. Hemker, P.W. & De Zeeuw, P.M.,
      
Some implementations of multigrid linear systems solvers.
       
In: Multigrid methods for integral and differential equations. (D.J.Paddon & H.Holstein eds) pp. 85-116,
       Clarendon Press, Oxford, 1985. (E-2054) (CWI NM-R8401) (E-6534) 

30. Hemker, P.W. & Spekreijse, S.P.,
       
Multigrid solution of the steady Euler equations.
       
In: Advances in Multi-Grid methods, (D.Braess, W.Hackbusch & U.Trottenberg eds) pp. 33-44,
        Proceedings of the conference held in Oberwolfach, Dec. 1984,
        Vieweg Publ. Comp., Braunschweig, 1985. (E-1812)
        (CWI NM-R8505) (E-6375) 

31. Hemker, P.W.,
       
Multigrid and improved accuracy for the Euler equations.
       
In: Discretization in differential equations and enclosures,
       (E.Adams, R.Ansorge, Ch.Groszmann and H.-G.Roos eds) pp. 123-136,
       Akademie-Verlag Berlin, 1987. (E-2433) 

32. Hemker, P.W., Koren, B. & Spekreijse, S.P.
       
A nonlinear multi-grid method for the efficient solution of the steady Euler equations.
       
In: Proceedings of the Tenth International Conference on Numerical Methods in Fluid Dynamics,
       Beijing, 1986.  (F.G. Zhuang and Y.L. Zhu eds) pp. 308-313, Lecture Notes in Physics 264,
       Springer Verlag 1986 (E-9944) 

33. Hemker, P.W. & Spekreijse, S.,
       
Multiple Grid and Osher’s Scheme for the Efficient Solution of the Steady Euler Equations.
       
J. Appl. Num. Math. 2 (1986) 475-493. (E-1748) (CWI NM-R8507) (E-6386) 

34. Hemker, P.W.,
      
Defect correction and higher order schemes for the multigrid solution of the steady Euler equations.
       
In: Multi-Grid Methods II (W. Hackbusch and U. Trottenberg eds) pp. 149-165,
       Lecture Notes in Mathematics 1228, Springer Verlag, 1986. (E-2480)
       (CWI report NM-R8523) (E-6315) 

35. Hemker, P.W.  
      
Computation of layers in Eulerian gas flow.
       
In: BAIL IV (Proceeding of the 4th International Conference on Boundary And
       Interior Layers - Computational and Asymptotic Methods Novosibirsk, USSR, July 1986
       (S.K. Godunov, J.J.H. Miller and V.A.Novikov eds) pp. 320-324,
       Boole Press, Dublin, 1986. (E-10180) 

36. Hemker, P.W. & Johnson, G.M.,
      
Multigrid approaches to the Euler equations.
      
Chapter 3 in: Multigrid Methods, (S.F. McCormick ed.) pp. 57-72,
      SIAM Frontiers in Appl. Math. Vol.3, 1987. (E-2039)
      (CWI NM-R8602 and ICS Techn.Rept. 86003, Inst. Comp. Studies, Boulder, Co.) (E-6303) 

37. Hemker, P.W.  
      
A multigrid approach for one-dimensional semiconductor device simulation.
      
In: Device Simulation -Numerische Problemfelder- (W. Joppich and U. Trottenberg eds) pp. 157-164,
      GMD-Studien Nr.144, Juni 1988 (E-070) 

38. Hemker, P.W. & Koren, B.
      
Multigrid, Defect Correction and Upwind Schemes for the Steady Navier-Stokes Equations.
      
In: Numerical methods for fluid dynamics III, (K.W. Morton and M.J. Baines eds) pp. 175-196,
       Clarendon press, Oxford, 1988. (E-2038) 

39. Hemker, P.W.  
       
A nonlinear multigrid method for one-dimensional semiconductor device simulation.
       
In: BAIL V (Proceeding of the 5th International Conference on Boundary And
       Interior Layers -   Computational and Asymptotic Methods Shanghai, China, June 1988
       (Guo Ben-yu, J.J.H. Miller and Shi Zhong-ci eds) pp. 18-29,
       Boole Press, Dublin, 1988. (E-2678) 

40. Hemker, P.W. & Koren, B.  
      
A nonlinear multi-grid method for the steady Euler equations.  
      
In: Numerical Simulation of Compressible Euler Flows,
      (A GAMM Workshop held at INRIA, Paris, June 1986)
      (A. Dervieux, B. Van Leer, J. Periaux and A. Rizzi eds) pp. 175-196,
      Vieweg Verlag, Braunschweig/Wiesbaden, 1989. (E-9943)
      (CWI report NM-R8621) (E-6211) 

41. Hemker, P.W.      
      A nonlinear multigrid method for one-dimensional semiconductor device simulation: results for the diode.
      
J. Comput. Appl. Math 30 (1990) 117-126. (E-10205) 

42. Molenaar, J. & Hemker, P.W.  
      
A multigrid approach for the solution of the 2D semiconductor equations.
      
IMPACT of Computing in Science and Engng 2 (1990) 219-243 (E-10207)
      (CWI report NM-R9003) (E-5756) 

43. Hemker, P.W.  
      
On the order of prolongations and restrictions in multigrid procedures.
      
J. Comput. Appl. Math 32 (1990) 423-429. (E-2367) 

44. Koren, B. & Hemker, P.W.
       
Damped, direction-dependent multigrid for hypersonic flow computations.
       
Appl. Numer. Math. 7 (1991) 309-328. (E-1616)
       (CWI NM-R8922) (E-5783) 

45. Hemker, P.W. & Molenaar, J.   
       
An adaptive multigrid approach for the solution of the 2D semiconductor equations.
       
In: Multigrid Methods III (W. Hackbusch and U. Trottenberg eds.) pp. 41-60,
       International Series of Numerical Mathematics, 98, Birkhäuser Verlag, Basel, 1991. (E-1601) 

46. Koren, B. & Hemker, P.W.
      
Multi-D upwinding and multigridding for steady Euler flow computations.
      
In: Procs of the 9th GAMM Conference on Numerical Methods in Fluid Mechanics
      (J.B. Vos, A. Rizzi and I.L. Ryhming eds.) pp. 89-98, Notes on Numerical Methods in Fluid Mechanics 35,
      Vieweg Verlag, Braunschweig/Wiesbaden, 1992. (E-1978) 

47. Koren, B. & Hemker, P.W.     
       
Multi-dimensional upwind schemes, multigrid and defect correction for accurate and
       efficient Euler flow computations.     
       
In: Aerodynamics for Space Vehicles, (W. Berry and B. Battrick eds.), 129-134,
       European Space Agency, Noordwijk, 1991. (E-9939) 

48. Hemker, P.W. & Shishkin, G.I.
      
Discrete Approximation of Singularly Perturbed Parabolic PDEs with a Discontinuous Initial Condition.
      
BAIL VI Proceedings, (J.J.H. Miller ed.) pp. 3-4,
      Front Range Press, Copper Mountain, Colorado, USA, 1992. (E-10208) 

49. Koren, B. & Hemker, P.W.
      
Efficient Multigrid Computation of Steady Hypersonic Flows.
      In: Computational Methods in Hypersonic Aerodynamics,
      (T.K.S. Murthy ed.) pp. 203-231, Kluwer Acad. Publishers, 1992. (E-1988) 

50. Hemker, P.W. & Désidéri, J.-A.  
       
Convergence Behaviour of Defect Correction for Hyperbolic Equations.
       
J. Comput. Appl. Math 45 (1993) 357-365. (E-10735) 

51. Van der Maarel, H.T.M., Hemker, P.W., Koren, B. and Michelsen, J.A.  
       
Application of a solution adaptive multigrid method to the Euler equations.
       
CWI Quarterly 6 (1993) 49-75. (E-1529) 

52. Hemker, P.W., Koornwinder, T.H. & Temme, N.M.
       
Wavelets: mathematical preliminaries.
       
In: Wavelets: An Elementary Treatment of Theory and Applications (T.H. Koornwinder ed.) pp. 13-26.
       World Scientific Publishing, 1993. (E-10077) 

53. Hemker, P.W. & Plantevin, F.  
       
Wavelet bases adapted to inhomogeneous cases.
       
In: Wavelets: An Elementary Treatment of Theory and Applications (T.H. Koornwinder ed.) pp. 107-128.
       World Scientific Publishing, 1993. (E-1514) 

54. Deconinck, H., Hemker, P.W. & Koren, B.
      
New Trends in the Solution of the Navier-Stokes Equations for Compressible Flows.
       
In: Aerodays’93, Conference Proceedings, pp. 109-116.
       Commision of the European Communities, DG XIII, EUR 14977, Luxembourg, 1993. (E-9933) 

55. Désidéri, J.-A. and Hemker, P. W. and Koren, B. and Lallemand, M.-H. 
       
Research in computational fluid dynamics, stimulated by ERCIM
       
In: From universal morphisms to megabytes:  a Baayen space odyssey, (eds.) pp.269–286
       Math. Centrum Centrum Wisk. Inform., Amsterdam, 1994.  (E-9951) 

56. Hemker, P.W. & Shishkin, G.I.  
      
Approximation of Parabolic PDEs with a Discontinuous Initial Condition.
       
East-West J. Numer. Math., 1 (1993) 287-302. (E-1447) 

57. Hemker, P.W. & Shishkin, G.I.
       
Discrete Approximation of Singularly Perturbed Parabolic PDEs with a Discontinuous Initial Condition.  
       
Computational Fluid Dynamics Journal, 2 (1994) 375 – 392. (E-10209) 

58. Hemker, P.W. & Shishkin, G.I.
       
On a Class of Singularly Perturbed Boundary Value problems for which an Adaptive Mesh
       Technique is Necessary.
       
In: Proceedings of the Second International Colloquium on Numerical Analysis
       (D. Bainov and V. Covachev eds) pp. 83-92. VSP, International Science Publishers,1994. (E-1948) 

59. Koren, B. & Hemker, P.W.
      
Defect correction and nonlinear multigrid for the steady Euler equations.
       
In: Proceedings of the International Workshop on Solution Techniques for Large-Scale CFD Problems,
       Montréal, pp.699-718, CERCA, Centre de Recherche en Calcul Appliqué, 1994; (E-9949);
       And in: Solution Techniques for Large-Scale CFD Problems (W.G. Habashi ed.)
       John Wiley & Sons, 1995, pp.273-291. (E-091);
       CWI NM-N8801 (E-6023) 

60. Thoolen, P.M.C. & Hemker, P.W.
      
Approximation methods for n-component solute transport and ion-exchange.
 
J. Comput. Appl. Math 53 (1994) 275-290. (E-10212) 

61. Désidéri, J.-A. & Hemker, P.W.
      
Convergence Analysis of the Defect-Correction Iteration for Hyperbolic Problems.
      
SIAM J. Sci. Comput. 16 (1995) 88 – 118. (E-10214) 

62. Hemker, P.W.
      
Sparse-Grid finite-volume multigrid for 3D-problems.  
     
Advances in Computational Mathematics,4 (1995) 83 – 110. (E-2238) 

63. Hemker, P.W.
      
Corrigendum: Remarks on sparse-grid finite-volume multigrid.  
      
Advances in Computational Mathematics, 5 (1996) 125 – 126. (E-019) 

64. Van der Maarel, H.T.M. and Hemker, P.W.
      
Structured Adaptive Multigrid for Compressible Flows.
      
(Invited lecture in the 10th GAMM Meeting, Kiel, January 1994)
      In: Fast Solvers for Flow Problems (W. Hackbusch and G. Wittum eds.)
      Notes on Numerical Fluid Mechanics,
      Vieweg Verlag, Braunschweig/Wiesbaden, 1995. (E-1378) 

65. Hemker, P.W. & Koren, B.
      
Defect Correction and Nonlinear Multigrid for the Steady Euler Equations.
       
In: Solution Techniques for Large-scale CFD Problems. (W.G. Habashi ed.) pp.273-291.
      John Wiley & Sons, 1995. (E-9948) (CWI report NM-R9007) (E-1650) 

66. Farrell, P.A., Hemker,P.W., & Shishkin G.I. 
     
Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, I.
      
Journal of Computational Mathematics, 14 (1996) 71 – 97. (E-1404) 

67. Farrell, P.A., Hemker,P.W., & Shishkin G.I.
      
Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, II.
      
Journal of Computational Mathematics, 14 (1996) 183 – 194. (E-1357) 

68. Farrell, P.A., Hemker,P.W., & Shishkin G.I. 
      
Discrete Approximations for Singularly Perturbed Boundary Value Problems with Parabolic Layers, III.
       
Journal of Computational Mathematics, 14 (1996) 273 – 290. (E-1359) 

69. Hemker, P.W., Koren, B., Lioen, W.M., Nool, M. & van der Maarel, H.T.M. 
      
Multigrid for steady gas dynamics problems.
      
In: Computational Fluid Dynamics Review 1995 (M. Hafez and K.Oshima eds), pp.477-494.
      John Wiley & Sons, 1995, ISBN 0 471 95589 2. (E-9950) 

70. Hemker, P.W.  
     
Solution of 3D elliptic systems by semi-refinement.
      
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 3 (1995) 63 – 82. (E-2194) 

71. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
      
The Use of Defect Correction for the Solution of Parabolic Singular Perturbation Problems. 
     
ZAMM 76 (1997) 59 – 74. (E-1381) 

72. Hemker, P.W.
      
A singularly perturbed model problem for numerical computation. 
     
Journal Computational and Applied Mathematics 76 (1996) 277 – 285 (E-2193) 

73. Hemker, P.W. & Pflaum, C.
      
Approximation on partially ordered sets of regular grids.
      
Applied Numerical Mathematics 25 (1997) 55–87. (E-1326) (CWI report NM-R9611) (E-4860) 

74. Hemker, P.W.
      
Finite volume multigrid for 3D-problems.
       
In: Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration,
       volume 57 of Notes on Numerical Fluid Mechanics, pages 485–509.
       Vieweg & Son, Braunschweig, Germany, 1997.  (E-2163) 

75. Hemker, P.W. & de Zeeuw, P.M.
      
BASIS3: A data structure for 3-dimensional sparse grids.
       
In: Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration,
       volume 57 of Notes on Numerical Fluid Mechanics, pages 443–484.
       Vieweg & Son, Braunschweig, Germany, 1997.  (E-1945) 

76. Hemker, P.W., Koren, B., Lioen, W.M., Nool, M. & van der Maarel, H.T.M.
      
Multigrid for Steady Gas Dynamics Problems.
      
In: Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration,
      volume 57 of 
 Notes on Numerical Fluid Mechanics, pages 393–417.
      Vieweg & Son, Braunschweig, Germany, 1997. 
(E-1322) 

77. Koren, B., Hemker, P.W. & de Zeeuw, P. M. 
      
Semi-coarsening in three directions for Euler-flow computations in three dimensions.
      
In: Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration,
      volume 57 of 
 Notes on Numerical Fluid Mechanics, pages 547–567.
      Vieweg & Son, Braunschweig, Germany, 1997.  
(E-1944) 

78. Koren, B., Hemker, P.W. & Everaars, C.T.H.
     
Multiple semi-coarsened multigrid for 3D CFD. Proceedings 13th AIAA Computational
      Fluid Dynamics Conference
,   
 Snowmass Village, CO, (AIAA-paper 97-2029), 
      American Institute of Aeronautics and Astronautics,  Reston, VA, 892–902. 1997. (E-9930) 

79. Hemker, P.W. & Koren, B.
      
Standard multigrid techniques for CFD.
      28th Computational Fluid Dynamics, VKI LS 1997-02, Von Karman Institute for Fluid Dynamics,
      Rhode-Saint-Genèse, 1997. 89 pp. (E-071) 

80. Hemker, P.W., Koren, B., Lioen, W.M., Nool, M. & van der Maarel, H.T.M. 
      
Solution-adaptive multigrid for steady gas dynamics problems.
      28th Computational Fluid Dynamics, VKI LS 1997-02, Von Karman Institute for Fluid Dynamics,
 
     Rhode-Saint-Genèse, 1997. 25 pp. (E-9945) (E-072) 

81. Hemker, P.W., Koren, B. & Noordmans, J.
      
3D multigrid on partially ordered sets of grids.
      28th Computational Fluid Dynamics, VKI LS 1997-02, Von Karman Institute for Fluid Dynamics,
      Rhode-Saint-Genèse, 1997.  18 pp. (E-9946) (E-073) 

82. Shishkin, G.I., Shishkina, L.P. & Hemker, P.W.
      
A Numerical Method with Floating Meshes for Singularly Perturbed Problems with a
      Concentrated Disturbance  in the Initial Data.
      
CWI Quarterly, 10 (1997) 317– 336 (E-1288) 

83. Koren, B., Hemker, P.W., and C.T.H. Everaars, C.T.H.  
      
Sparse-grid solution of the steady Euler equations of gas dynamics.
       In: Computational Fluid Dynamics ’98, Volume 2, Invited Lectures,
       Minisymposia and Special Technological Sessions of
       the Fourth European Computational Fluid Dynamics Conference, 1998, Athens, pp. 252-257.
       (K.D. Papailiou, D. Tsahalis, J. Periaux 
      and D. Knoerzer, eds.) Wiley, Chichester (1998). (E-9928) 

84. Hemker, P.W., Koren, B. & Noordmans, J.
      
3D Multigrid on Partially Ordered Sets of Grids.
 
     Proceedings of the Fifth European Multigrid Conference, Stuttgart (W. Hackbusch, G. Wittum, eds.),
     
 Springer, Heidelberg, pp 105-124 (1998). (E-1911) 

85. Noordmans, J. & Hemker, P.W.
     
Convergence results for 3D sparse grid approaches
     
Numerical Linear Algebra with Applications 5 (1998) pp. 362-376 (E-1251)
      (CWI report MAS-R7913) (E-4766) 

86. P.W.Hemker, G.I.Shishkin, L.P.Shishkina.
       
A defect correction method for parabolic singular perturbation problems on a rectangle. 
       
Proceedings of the Second International Conference “Finite Difference Methods: Theory and Applications”
      (CFDM98), Minsk, 
     Belarus, 1998, vol. 2, p. 30-35. (E-024) 

87. Hemker, P.W., Shishkin, G.I., & Shishkina, L.P. 
      
The Numerical Solution of a Neumann Problem for Parabolic Singularly Perturbed Equations with
      High-Order Time Accuracy.
       In O.P. Iliev, M.S. Kaschiev, S.D. Margenov, Bl.H Sendov, and P.S. Vassilevski, editors,
       Recent Adavances in Numerical Methods and Applications.
 
      World Scientific, 1999. Proc. Fourth Int. Conf., NMA’98, Sofia, 1998, pp. 27-39. (E-1186) 

88. Hemker, P.W., Shishkin, G.I., & Shishkina, L.P. 
       
An ε- Uniform Defect Correction Method for a Parabolic Convection-Diffusion Problem.
        In:Recent Adavances in Numerical Methods 
      and Applications.
       (O.P. Iliev, M.S. Kaschiev, S.D. Margenov, Bl.H Sendov, and P.S. Vassilevski, editors,) 
       World Scientific, 1999. Proc. Fourth Int. Conf., NMA’98, Sofia, 1998, pp 521-529.
(E-1899) 

89. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
       
ε-Uniform Schemes with High-Order Time-Accuracy for Parabolic Singular Perturbation Problems
 
      IMA Journal of Numerical Analysis, vol. 20, 2000, pp. 99-121. (E-1217) 

90. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
       
Distributing the numerical solution of parabolic singularly perturbed problems with defect correction over
       independent processes
       Siberian J. Numer. Mathematics. 2000. Vol. 3, N 3. pp. 229-258 (E-003) 

91. P.W. Hemker, G.I. Shishkin, I.V. Tselishcheva.
 
      Parallel methods for quasilinear singularly perturbed reaction-diffusion equations.
       In: Proceedings of the International Conference on Distributed Systems: 
       Optimization and Economic-Environmental Applications,  
       ( I.I. Eremin, L. Lasiecka, and V. I. Maksimov, eds.), pages 348–351,
       Nauk, Ekaterinburg, Russia, 2000.
(E-004) 

92. Havik, E.D., Hemker, P.W. & Hoffmann, W. 
       
Application of the Over-Set Grid Technique to a Model Singular Perturbation Problem.
 
      Computing 65 (2000) pp. 339-356 (E-1155)
       (CWI report MAS-R9931) (E-4508) 

93. Noordmans, J. & Hemker, P.W. 
       
Application of an Adaptive Sparse Grid Technique to a Model Singular Perturbation Problem.
       Computing 65 (2000) pp. 357-378 (E-1154) 

94. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
       
Parallel Methods Based on a Defect-Correction Technique for Parabolic Singularly Perturbed Problems.
       In ‘Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems’,
 
      J.J.H. Miller, G.I. Shishkin and L.Vulkov eds.,
       Nova Science Publishers, Inc., New York, USA, 2000. pp. 43-50  
(E-009) 

95. Hemker, P.W. & Sprengel, F.
      
Experience with the Solution of a Finite Difference Discretization on Sparse Grids
      In: Numerical Analysis and its Applications,
      Springer Lecture Notes in Computer Science, Vol. 1988, pp 402 - 413,
 
     (L. Vulkov, J. Wasniewski and P. Yalamov eds.) Springer Verlag, 2001. (E-10282) 

96. Hemker, P.W, Shishkin, G.I. & Shishkina, L.P. 
      
Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for
      Singularly Perturbed Convection-Diffusion Problems    
In: Numerical Analysis and its Applications,
      Springer Lecture Notes in Computer Science, Vol. 1988, pp 393 - 401,
       (L. Vulkov, J. Wasniewski and P. Yalamov eds.) Springer Verlag, 2001. (E-10285) 

97. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
       
High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection
       Computing 66 (2001) 139 – 161. (E-1137) 

98. Hemker, P. W. & Sprengel, F.
       
On the representation of functions and finite difference operators on adaptive dyadic grids.
       Comput. Methods Appl. Math. 1 (2001), no. 3, 222–241 (E-1105) 

99. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.
       
High-Order Time-Accurate Schemes for Parabolic Singular Perturbation Problems with Convection
 
      Russian J. Numer. Anal. Math. Modelling, 17 (2002), No. 1, pp. 1–24. (E-008)
       (CWI report MAS-R0101) (E-4365) 

100. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P.  
        
High-Order Time-Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems
        with Robin Boundary Conditions.
        Comp. Methods in Appl. Math. 2 (2002) No.1, pp. 3–25. (E-10286)
        (CWI report MAS-R0207) (E-4234) 

101. J.H.C. Diris, W.Th. Hermens, P.W. Hemker, W.K. Lagrand, C.E. Hack, M.P. van Dieijen-Visser
        Pharmacokinetics of C1-inhibitor protein in patients with acute myocardial infarction
 
       Clinical Pharmacology & Therapeutics 72 No.5 (2002) 498–504. (E-018) 

102. Hemker, P.W., Hoffmann, W. & van Raalte, M.H. 
        
Discontinuous Galerkin discretisation with embedded boundary conditions
        Comp. Methods in Appl. Math. 3 (2003) No.1, pp. 135–158. (E-006)
        (CWI report MAS-R0301) (E-4170) 

103. B. Koren, E.H. van Brummelen, P.W. Hemker, B. van Leer and M.R. Lewis.
 
       Fix for Solution Errors near Interfaces in Two-Fluid Flow Computations.
        In: Computational Fluid Dynamics 2002, Proceedings of the Second International Conference on 
        Computational Fluid Dynamics, ICCFD, Sydney, Australia. S. Armfield, P. Morgan, K.Srinivas eds.
        pp. 523–528, 2003.
(E-9884)
        (CWI report MAS-E0325) (E-4052) 

104. Shishkin, G.I., Hemker, P.W. & Shishkina, L.P.
       
Novel Defect-Correction High-Order, in Space and Time, Accurate Schemes for Parabolic
       Singularly Perturbed Convection-Diffusion Problems
       Comp. Methods in Appl. Math. 3 (2003) No.3, pp. 387–404. (E-013) 

105. Shishkin, G.I., Shishkina, L.P. & Hemker P.W.
       
A class of singularly perturbed convection-diffusion problems with a moving interior layer. An a posteriori
       adaptive mesh technique.
       Comp. Methods in Appl. Math. 4 (2004) No.1, pp. 105–127. (E-020) 

106. Hemker, P.W., Hoffmann, W. & van Raalte, M.H. 
        
Fourier two-level analysis for discontinuous Galerkin discretization with linear elements,
        
Numerical Linear Algebra with Applications 11 (2004) 473–491. (E-027)
        (CWI report MAS-R0217) (E-4225) 

107. Hemker, P.W., Hoffmann, W. & van Raalte, M.H.
       
Two-level Fourier analysis of a multigrid approach for discontinuous Galerkin discretisation,
        
SIAM Journal on Scientific Computing, Vol.25, pp.1018-1041, 2004. (E-034)
         (CWI report MAS-R0206) (E-4235) 

108. Hemker, P.W. & van Raalte, M.H. 
        
Fourier two-level analysis for higher dimensional discontinuous
        Galerkin discretisation
Computing and Visualization in Science, Vol 7, pp.159-172, 2004. (E-062)
        (CWI report MAS-R0227) (E-4199) 

109. Hemker, P.W., Shishkin, G.I. & Shishkina L.P.  
        
High-order accurate decomposition of Richardson’s method for a singularly perturbed elliptic
         reaction-diffusion equation.
         
Computat. Math. and Math. Phys. 44 (2004) 309–316.
         (Translated from Zhurnal Vych. Mat. Mat. Fiz. 44 (2004) 329–337)) (E-015) 

110. Echeverría, D., Lahaye, D., Encica, L. & Hemker, P.W.
        
Optimisation in Electromagnetics with the Space-Mapping Technique 
        
COMPEL 24 (3) pp.952-966, 2005. (E-001) 

111. Hemker, P.W. & van Raalte, M.H.
       
Two-level multigrid analysis for the convection-diffusion equation discretized by a
         discontinuous Galerkin method
         
Numerical Linear Algebra with Applications 12 (2005) 563–584. (E-048) 

112. Echeverría, D. & Hemker, P.W.
        
Space mapping and defect correction
       
Comp. Methods in Appl. Math. 5 (2005) No.2, pp. 107–136. (E-055)
        (CWI report MAS-E0506) 

113. Hemker, H.C., De Smedt, E., & Hemker, P.W.
        
During coagulation thrombin generation shifts from chemical to diffusion control.
        Journal of Thrombosis and Haemostasis 3 (2005) 2399-2400. (E-065) 

114. Encica, L., Echeverría, D., Lomonova,E., Vandenput, A., Hemker, P. & Lahaye, D..  
        
Efficient Optimal Design of Electromagnetic Actuators Using Space-Mapping
        
Proceedings 6th World Congress on Structural and Multidisciplinary Optimization
        Rio de Janeiro, 30 May-03 June, 2005, Brazil, paper 5631, 2005. (E-068) 

115. Vasileva, D., Kuut, A., & Hemker, P.W.  
        
An adaptive multigrid strategy for convection diffusion problems.
        
In: Large-Scale Scientific Computing. Procs. of the 5th International Conference, LSSC 2005, Sozopol,
        Bulgaria. (I. Lirkov, S. Margenov and J. Wasniewski, eds.)
        Springer LNCS 3743, pp.138–145, 2006. (E-010) 

116. Echeverría, D., Lahaye, D., Encica, L., Lomonova,E.A., Hemker, P.W. & Vandenput, A.J.A.
        
Manifold-Mapping Optimization Applied to Linear Actuator Design 
        
IEEE Transactions on Magnetics 42 (4) pp.1183-1186, 2006. (E-056) 

117. Wagenvoort, R, Hemker, P.W. and Hemker, H.C. 
       
The limits of simulation of the clotting system  
       
Journal of Thrombosis and Haemostasis 4 (2006) 1–8. (E-069) 

118. Hemker, H.C., De Smedt, E. & Hemker, P.W.,
       
Mathematical and biological models of blood coagulation. A rebuttal.  
        
J Thromb Haemost 4 (2006) 710–-711. (E-066) 

119. Hemker, P.W. & Echeverría, D.,
        
A trust-region strategy for manifold-mapping optimization 
        
Journal of Computational Physics 224 (2007) pp.464-475. (E-080) 

120. Hemker, P.W. & Lahaye, D.  
        
An hp-adaptive strategy for the solution of the exact kernel curved wire Pocklington equation 
        
Computational Methods in Applied Mathematics, Vol. 8 (2008), No. 1, pp. 39-59. (E-081) 

121. Hemker, P.W. & Echeverría, D.,
        
Manifold Mapping for Multilevel Optimization
         
in: Scientific Computing in Electrical Engineering (G. Ciuprina and D. Ioan, eds), Mathematics in Industry
         Vol 11, pp.325-330, Springer Berlin Heidelberg, 2007. (E-082) 

122. Echeverría, D., Lahaye, D. & Hemker, P.W.,
       
Space Mapping and Defect Correction
        in: Model Order Reduction: Theory, Research Aspects and Applications
        (W.H.A. Schilders, H.A. van der Vorst and J. Rommes, eds), Mathematics in Industry Vol 13, pp.157-176,
        Springer Berlin Heidelberg, 2008. (E-083) 

123. Echeverría, D. & Hemker, P.W.,      
        Manifold mapping: a two-level optimization technique
       
Computing and Visualization in Science 11 (2008) pp.193-206. (E-084) 

124. Hemker, H.C., Hemker, P.W. & Raed al Dieri  
       
The technique of measuring thrombin generation with fluorescent substrates: 4.  The H-transform,
         a mathematical procedure to obtain thrombin concentrations wihout external calibration.
       
Thrombosis and Haemostasis 101 (2009) pp.171-177. (E-045) 

125. Poppe, K., van de Berg, J., Blank, E., Archer, C., Redeker, M. & Hemker, P.
       
Thruster Allocation for Dynamic Positioning.
         
in: Proceedings of the 72th European Study Group Mathematics with Industry,
         (den Boer, Bosman, Bouman, van Dam, Frank, van der Mei, Verhoef, eds),
         CWI, Amsterdam, 2010. (E-046) 

126. Van Daalen, E.P.G., Cozijn, J.L., Loussouarn,G. & Hemker, P.W.,
         A Generic Optimization Algorithm for the Allocation of DP Actuators,
         
in: Proceedings of the ASME 2011 30th International Conference on Ocean, Offshore and
        Arctic Engineering, 2011. (E-044) 

127. Rispens, T., te Velthuis, H., Hemker, P., Speijer, H., Hermens, Wim and Aarden, Lucien
        Label-free assessment of high-affinity antibody–antigen binding constants.
        Comparison of bioassay, SPR, and PEIA-ellipsometry, 
        Journal of Immunological Methods 365 (2011) 50–57. (E-086) 

128. Hemker, H.C., Hemker, P.W., 
         Time-course measurement of enzymatic activity corrected for impacts of disturbances relating to the 
         reaction of the enzyme with a substrate.
 
         United States Patent. Patent No.: US 8,551,722 B2. Date of Patent: Oct. 8, 2013  (E-096)        

129. Hemker, Piet, 
         Epigrammen van Posidippos. 
         Hermeneus 85 (1013) Vol 3, pp. 145 -- 152  (E-098)



     

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