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", CWI-report NM-R8806, 1988, published in "Journal of Computational Physics" (V89, pp. 349-388, 1990)

  2. F. Verhulst & P.A. Zegeling, "Boundary Layers in Coronal Loops", Preprint nr. 524, Dept. of Maths., R.U. Utrecht, 1988, published as "An Asymptotic-Numerical Approach to the Coronal Loop Problem" in "Mathematical Methods in the Applied Sciences" (V13, pp. 431-439, 1990) [more info]

  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", CWI-report NM-R8818, 1988, published in "Adaptive Methods for Partial Differential Equations", eds. J.E. Flaherty, P.J. Paslow, M.S. Shepherd & J.D. Vasilakis, SIAM 1989

  4. J.G. Blom & P.A. Zegeling, "Algorithm 731: A Moving-Grid Interface for Systems of One-Dimensional Time-Dependent Partial Differential Equations", CWI-report NM-R8904, 1989, published in "ACM Transactions in Mathematical Software" (1994, V20, N2, pp. 194-214) [gzipped ps-file] [SOFTWARE AVAILABLE!]

  5. P.A. Zegeling & J.G. Blom, "An Evaluation of the Gradient-Weighted Moving-Finite-Element Method in One Space Dimension", CWI-report NM-R9006, 1990, published in "Journal of Computational Physics" (V103, N2, pp. 422-441, 1992)

  6. P.A. Zegeling & J.G. Blom, "A Note on the Grid Movement Induced by MFE", CWI-report NM-R9019, 1990, published in "International Journal for Numerical Methods in Engineering" (V35, N3, pp. 623-636, 1992)

  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", CWI-report NM-R9112, 1991, published in "International Journal for Numerical Methods in Fluids" (V15, N2, pp. 175-191, 1992)

  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", CWI-report NM-R9206, 1992, published in "Computational Fluid Dynamics" (V1, pp. 135-159, 1993)

  11. P.A. Zegeling, "Moving-Grid Methods for Time-Dependent Partial Differential Equations", 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 [ps.gz, 309 kB]

  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 [ps.gz, 168 kB]

  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, Mex ico, July 1996

  15. A. Doelman, T.J. Kaper & P.A. Zegeling, "Pattern formation in the 1-D Gray-Scott model", Preprint nr. 956, Department of Mathematics, Utrecht University, 1996 (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

  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", 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", published in "Nonlinear Dynamics", V21, pp. 31-53, 2000 [weblink]

  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

  22. P.A. Zegeling & R. Keppens, "Adaptive Method of Lines for Magnetohydrodynamic PDE Models" [weblink] [alternative], 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" [weblink] 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"[] 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" [weblink], 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" published in J. of Comp. & Appl. Maths. 183 (2005), 343-357

  27. P.A. Zegeling "On Resistive MHD Models with Adaptive Moving Meshes" [weblink], Preprint 1291, Dec. 2003, Dept. of Maths., Universiteit Utrecht; 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" [weblink], Preprint 1310, 2004, Dept. of Maths., Universiteit Utrecht; 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?"; 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"; presented at RCEM2005 (The 5th IAHR Symposium on River, Coastal and Estuarine Morphodynamics) held October 4-7 in Urbana, Illinois (2005)

  31. A. van Dam & P.A. Zegeling "A Robust Moving Mesh Finite Volume Method Applied to 1D Hyperbolic Conservation Laws from Magnetohydrodynamics" [weblink], Preprint 1332, 2005, Dept. of Maths ., Universiteit Utrecht; 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"; 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" [weblink]; 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"; in Proceedings of SWI 2007.

  36. P.A. Zegeling, I. Lagzi & F. Izsak "Simulation of the Liesegang precipitation rings using an adaptive grid PDE method"; submitted 2010.

  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.

  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"; in Proceedings of SWI 2008 [pdf-file].

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