List of publications

Paul Zegeling
  1. R.M. Furzeland, J.G. Verwer & P.A. Zegeling, "A Numerical Study of Three Moving Grid Methods for One-Dimensional Partial Differential Equations Which Are Based on the Method of Lines"; published in "Journal of Computational Physics" (V89, pp. 349-388, 1990) [pdf].

  2. F. Verhulst & P.A. Zegeling, "An Asymptotic-Numerical Approach to the Coronal Loop Problem"; published in "Mathematical Methods in the Applied Sciences" (V13, pp. 431-439, 1990) [pdf].

  3. J.G. Verwer, J.G. Blom, R.M. Furzeland & P.A. Zegeling, "A Moving-Grid Method for One-Dimensional PDEs Based on the Method of Lines"; published in "Adaptive Methods for Partial Differential Equations", eds. J.E. Flaherty, P.J. Paslow, M.S. Shepherd & J.D. Vasilakis, SIAM 1989 [weblink] .

  4. J.G. Blom & P.A. Zegeling, "Algorithm 731: A Moving-Grid Interface for Systems of One-Dimensional Time-Dependent Partial Differential Equations"; published in "ACM Transactions in Mathematical Software" (1994, V20, N2, pp. 194-214). [pdf] [SOFTWARE AVAILABLE!].

  5. P.A. Zegeling & J.G. Blom, "An Evaluation of the Gradient-Weighted Moving-Finite-Element Method in One Space Dimension"; published in "Journal of Computational Physics" (V103, N2, pp. 422-441, 1992). [pdf].

  6. P.A. Zegeling & J.G. Blom, "A Note on the Grid Movement Induced by MFE"; published in "International Journal for Numerical Methods in Engineering" (V35, N3, pp. 623-636, 1992) [pdf].

  7. J.C.H. v. Eijkeren, P.A. Zegeling & S.M. Hassanizadeh, "Practical Use of SPRINT and a Moving Grid Interface for a Class of 1D Non-Linear Transport Problems", RIVM-report 959101001, Rijksinstituut voor Volksgezondheid en Milieuhygiene, Bilthoven, 1991.

  8. P.A. Zegeling, J.G. Verwer & J.C.H v. Eijkeren, "Application of a Moving-Grid Method to a Class of 1D Brine Transport Problems in Porous Media"; published in "International Journal for Numerical Methods in Fluids" (V15, N2, pp. 175-191, 1992) [pdf].

  9. P.A. Zegeling, "Moving-Finite-Element Solution of a 2D Brine Transport Problem in a Porous Medium"; published in "Advances in Computer Methods for Partial Differential Equations - VII, eds. R. Vichnevetsky, D. Knight and G. Richter, IMACS publication, pp. 845 - 851, 1992.

  10. P.A. Zegeling, "Moving-Finite-Element Solution of Time-Dependent Partial Differential Equations in Two Space Dimensions"; published in "Computational Fluid Dynamics" (V1, pp. 135-159, 1993) [weblink] .

  11. P.A. Zegeling, "Moving-Grid Methods for Time-Dependent Partial Differential Equations", published as [CWI-tract No. 94, Centre for Mathematics and Computer Science, Amsterdam, 1993] .

  12. P.A. Zegeling, "MFE revisited, Part I: Adaptive Grid-Generation using the Heat Equation", Preprint nr.946, Department of Mathematics, Utrecht University, 1996.

  13. P.A. Zegeling, "A Dynamically-Moving Adaptive Grid Method Based on a Smoothed Equidistribution Principle along Coordinate Lines", Proceedings of the 5th International Conference on Numerical Grid Generation in Computational Field Simulations, eds. B.K. Soni, J.F. Thompson, J. Häuser and P. Eiseman, April 1996, Mississippi State University.

  14. P.A. Zegeling, "Numerical Solution of Advection-Dispersion Models Using Dynamically-Moving Adaptive Grids"; published in the Proceedings of XIth Inter national Conference on Computational Methods in Water Resources, Canc\'{u}n, Mexico, July 1996.

  15. A. Doelman, T.J. Kaper & P.A. Zegeling, "Pattern formation in the 1-D Gray-Scott model"; published in Nonlinearity, 10 (1997) 523-563. [pdf].

  16. P.A. Zegeling, M. Borsboom & J.A.Th.M. van Kester, "Adaptive Moving-Grid Solutions of Shallow-Water Transport Models with Steep Vertical Gradients"; published in the Proceedings of the XIIth International Conference on Computational Methods in Water Resources, The Chersonese, Crete, Greece, June 15-19, 1998 [weblink] .

  17. P.A. Zegeling, "An Adaptive Moving Grid Method for PDE Models with Third and Fourth Order Spatial Derivatives"; published in the Proceedings of the 6th International Conference on Numerical Grid Generation in Computational Field Simulations, Univ. of Greenwich, United Kingdom, July 6-9, 1998.

  18. P.A. Zegeling, "R-refinement with Finite Elements or Finite Differences for Evolutionary PDE Models" [pdf]; published in the journal "Applied Numerical Mathematics", V26, N1-2, pp. 97-104, 1998.

  19. P.A. Zegeling, "Moving grid techniques", Chapter 37 in Handbook of Grid Generation, Eds. Joe F. Thompson, Bharat K. Soni, Nigel P. Weatherill, CRC Press LLC 1999.

  20. A.R. Champneys, P.J. McKenna & P.A. Zegeling, "Solitary Waves in Nonlinear Beam Equations; Stability, Fission and Fusion" [pdf]; published in "Nonlinear Dynamics", V21, pp. 31-53, 2000.

  21. R. Keppens, M. Nool, P.A. Zegeling & J.P. Goedbloed, "Dynamic Grid Adaptation for Computational Magnetohydrodynamics"; published in the Proceedings of HPCN Europe 2000: 61-70 [pdf] .

  22. P.A. Zegeling & R. Keppens, "Adaptive Method of Lines for Magnetohydrodynamic PDE Models" [pdf], a chapter in the book "Adaptive Method of Lines", CRC Press, 2001.

  23. P.A Zegeling & H.P. Kok, "Adaptive Moving Mesh Computations for Reaction-Diffusion Systems" [pdf], in the Proceedings of ACOMEN 2002, Second International Conference on Advanced Computational Methods in Engineering, held at Liege University, Belgium, May 28-31, 2002; published in J. of Comp. & Appl. Maths. (2004), 168, 519-528.

  24. P. Saucez, A. Vande Wouwer, W.E. Schiesser & P.A. Zegeling, "Method of Lines Study of Nonlinear Dispersive Waves" [pdf], in the Proceedings of ACOMEN 2002, Second International Conference on Advanced Computational Methods in Engineering, held at Liege University, Belgium, May 28-31, 2002; published in J. of Comp. & Appl. Maths (2004), 168, 413-423.

  25. P.A. Zegeling "Tensor-Product Adaptive Grids Based on Coordinate Transformations" [pdf], pp. 285-290 in the Proceedings of BAIL 2002, An International Conference on Boundary and Internal Layers; Computational and Asymptotic Methods, Eds. S. Wang & N. Fowkes, held at the University of Western Australia, Perth, WA, 8-12 July, 2002; published in J. of Comp. & Appl. Maths. 166 (2004), 343-360.

  26. P. Saucez, A. Vande Wouwer & P.A. Zegeling "Adaptive Method of Lines Solutions for the Extended Fifth Order Korteweg-De Vries Equation" [pdf]; published in J. of Comp. & Appl. Maths. 183 (2005), 343-357.

  27. P.A. Zegeling "On Resistive MHD Models with Adaptive Moving Meshes" [pdf]; published in J. of Scientific Computing 24 (2005), 263-284.

  28. P.A. Zegeling, W. de Boer & H. Tang "Robust and Efficient Adaptive Moving Mesh Solution of the 2-D Euler Equations" [pdf]; published in Contemporary Mathematics 383 (2005), 419-430.

  29. H. Berestycki, O. Diekmann, C.J. Nagelkerke & P.A. Zegeling "Can a Species Keep Pace with a Shifting Climate?" [pdf]; published in Bulletin of Mathematical Biology, 2009 Feb; 71(2):399-429.

  30. R.M.J. Schielen, T. van Leeuwen & P.A. Zegeling "Numerical Simulation of Alternating Bars in Straight Channels"; published in Proceedings of RCEM2005 (The 5th IAHR Symposium on River, Coastal and Estuarine Morphodynamics) held October 4-7 in Urbana, Illinois (2005) [weblink] .

  31. A. van Dam & P.A. Zegeling "A Robust Moving Mesh Finite Volume Method Applied to 1D Hyperbolic Conservation Laws from Magnetohydrodynamics" [pdf]; published in J. of Comput. Phys. 216 (2006), 526-546.

  32. P.A. Zegeling "Theory and Application of Adaptive Moving Grid Methods" ; published in the book "Adaptive Computations: Theory and Algorithms", edited by T. Tang and J. Xu (March 2007) [weblink].

  33. A. van Dam & P.A. Zegeling. "Mesh speeds versus solution interpolation - making moving mesh results sharper"; published in proceedings of ICFD'07, Reading, UK, March 2007.

  34. R.C. Wieggers, W.J. Goedheer, M.R. Akdim, F. Bijkerk & P.A. Zegeling "A Particle-In-Cell plus Monte-Carlo study of plasma-induced damage of normal incidence collector optics in extreme ultraviolet lithography" [pdf]; published in J. Appl. Phys. 103, 013308 (2008).

  35. V. Creigen, L. Ferracina, A. Hlod, S. van Mourik, K. Sjauw, V. Rottschaefer, M. Vellekoop & P.A. Zegeling "Modelling of a heart pump"; published in Proceedings of SWI 2007 [pdf].

  36. P.A. Zegeling, I. Lagzi & F. Izsak "Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method"; published in Communications in Computational Physics, Vol. 10, No. 4 (2011), 867-881 [pdf].

  37. A. van Dam & P.A. Zegeling "Balanced monitoring of flow phenomena in moving mesh methods"; published in Commun. Comput. Phys. 7 (2010), 138-170 [pdf].

  38. A. ten Cate, B.J. Geurts, M. Muskulus, D. Koester, A. Muntean, J. van Opheusden, A. Peschansky, B. Vreman, P.A. Zegeling "Modeling and simulation of phase-transitions in multicomponent aluminum alloy casting"; published in Proceedings of SWI 2008 [pdf].

  39. F. Doster, P.A. Zegeling & R. Hilfer "Numerical Solutions of a Generalized Theory for Macroscopic Capillarity"; published in Physical Review E81, 1 (2010) [pdf].

  40. G. Hu & P.A. Zegeling "Simulating Finger Phenomena in Porous Media with a Moving Finite Element method"; published in Journal of Computational Physics, 2011 [pdf].

  41. R. Hilfer, F. Doster & P.A. Zegeling "Nonmonotone... (title follows)"; submitted, 2011.

  42. R.D. Haynes, W. Huang & P.A. Zegeling "A Numerical Study of Blowup in the Harmonic Map heat Flow Using the MMPDE Moving Mesh Method"; submitted, 2011.

  43. C. Berentsen, S. Pop, H. Schuttelaars, & P.A. Zegeling "Numerical... (title follows)"; in preparation, 2011-2012.

  44. O. Hoenig, P.A. Zegeling & R. Hilfer "Travelling waves... (title follows)"; in preparation, 2011-2012.

  45. P.A. Zegeling & M. Sypkens-Smit "Three-... (Title follows)"; in preparation, 2011-2012.

  46. F. Verhulst & P.A. Zegeling "Stability... (title follows)"; in preparation, 2011-2012.

  47. P.A. Zegeling, H. Schuttelaars & A. Remorie "Adaptive... (title follows)"; in preparation, 2011-2012.

  48. Th. Ruijgrok & P.A. Zegeling "Adaptive grid solutions for the Nash... (title follows)"; in preparation 2011-2012.

  49. P.A. Zegeling & I. Ates "An analysis of the homotopy... (title follows)">; in preparation 2011-2012.