Monographs
L.A. PELETIER, W.C. TROY, Spatial Patterns: Higher order model equations in physics and mechanics, Birkhauser, Boston, (2001).
Papers in journals and proceedings
H.W. ALT, C.J. VAN DUIJN, A free boundary problem involving a cusp: breakthrough of salt water, Interfaces and Free Boundaries, 1 (2000) 21-72.
V.V. VAN ANTWERPEN, W.A. MULDER, G.C. HERMAN, Elastic finite-difference modeling in cracked media, Proceedings EAGE/SEG Research workshop "Reservoir Rocks", Pau, (2001).
V.V. VAN ANTWERPEN, W.A. MULDER, G.C. HERMAN, Subgrid elastic modeling in cracked media, Proceedings 71 st SEG Convention, (2001) San Antonio.
G.B. VAN BAREN, G.C. HERMAN, W.A. MULDER, Finite-difference modeling in media with many small-scale cracks, Journal of Computational Acoustics, 9, 815-831, (2001).
G.B. VAN BAREN, W.A. MULDER, G.C. HERMAN, Finite-difference modeling of scalar-wave propagation in cracked media, Geophysics, 66, 267-276, (2001).
A.J.C. BELIËN, B. VAN DER HOLST, M. NOOL, A. VAN DER PLOEG, J.P. GOEDBLOED, Application of the Jacobi-Davidson Method to Spectral Calculations in Magneto-hydrodynamics, in Procs. of High Performance Computing and Networking, Europe 2000, Amsterdam, 2000, Lecture Notes in Computer Science, 1823 119-126 (M. Bubak, H. Afsarmanesh, R. Williams, and B. Hertzberger, eds.), Springer, Berlin (2000).
G.J.B VAN DEN BERG, J. HULSHOF, R.C.A.M VAN DER VORST, Travelling waves for fourth-order semilinear parabolic equations, SIAM J. Math. Anal. 32(6), 1342-1374 (2001).
G.J.B VAN DEN BERG, L.A. PELETIER, W.C. TROY, Global branches of multi bump periodic solutions of the Swift-Hohenberg equation, Arch. Rational Mech. Anal. 158 (2001) 91-153.
J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, A domain-wall between single-mode and bimodal states, Differential Integral Equations, 13 (2000), no. 1-3, 369-400.
J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Periodic orbits for fourth order conservative systems and a Morse type theory, Proceedings EquaDiff '99, World Scientific, (2000).
J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Fourth order conservative Twist systems: simple closed characteristics, Trans. Amer. Math. Soc. (2001).
P.J.F. BERKVENS, M.A. BOTCHEV, J.G. VERWER, On the Efficient Treatment of Vertical Mixing and Chemistry in Air Pollution Modelling, Procs. of the Symposium `Wiskunde Toegepast', Maastricht, The Netherlands (2000).
P.J.F. BERKVENS, M.A. BOTCHEV, J.G. VERWER, On the efficient treatment of vertical mixing and chemistry in air pollution modelling, Procs. 16th IMACS World Congress, on CD-ROM, Lausanne (2000).
F. BERNIS, J. HULSHOF, J.R. KING, Dipoles and similarity solutions of the thin film equation in the half-line, Nonlinearity, 13 (2000) 413-439.
F. BERNIS, J. HULSHOF, F. QUIROS, The "linear" limit of thin film flows as an obstacle-free boundary problem, SIAM Journal of Applied Math. 61(3), 1062-1079 (2000).
J.G. BLOM, J.G. VERWER, A comparison of integration methods for atmospheric transport-chemistry problems, J. Comp. Appl. Math., 126 (2000) 381-396.
N. BOROVYKH, D. DRISSI, M.N. SPIJKER, A note about Ritt's condition, related resolvent conditions, and power bounded operators, Numer. Function. Anal. Optimiz. 21 (2000) 425-438.
N. BOROVYKH, M.N. SPIJKER, The sharpness of stability estimates corresponding to a general resolvent condition, Linear Algebra Appl. 311 (2000) 161-175.
N. BOROVYKH, M.N. SPIJKER, Resolvent conditions and bounds on the powers of matrices, with relevance to numerical stability of initial value problems, Journ. Comp. Appl. Math. 125 (2000) 41-56.
M.A. BOTCHEV, H.A. VAN DER VORST, A parallel nearly implicit time-stepping scheme, J. Comp. Appl. Math., 137 (2001) 229-243 .
C.-M. BRAUNER, J. HULSHOF, A. LUNARDI, A general approach to stability in free boundary problems, J. Diff. Equ. 164, 16-48 (2000).
C.-M. BRAUNER, J. HULSHOF, A. LUNARDI, A critical case of stability in a free boundary problem, Journal of Evolution Equations 1 (2001) 85-113.
C.-M. BRAUNER, J. HULSHOF, J.-F. RIPOLL, Existence of travelling wave solutions in a combustion-radiation model, Discrete and Continuous Dynamical Systems 1(2):193-208, (2001).
J. BRUINING, C.J. VAN DUIJN, Uniqueness conditions in a hyperbolic model for oil recovery by steamdrive, Computational Geosciences, 4 (2000) 65-98.
H. VAN BRUMMELEN, B. KOREN, A level-set method and an approximate Riemann solver for capturing free-surface water waves, Procs. of the AMIF-ESF Workshop Computing Methods for Two-Phase Flow, Aussois, 2000 (H. Paillère, ed.), Paper 23 from CD-ROM published by CEA, Saclay (2000).
H. VAN BRUMMELEN, B. KOREN, A Godunov-type scheme for capturing water waves, Procs. of Godunov Methods, Theory and Applications, 949-968, Oxford, 1999 (E.F. Toro, ed.), Kluwer, Dordrecht (2001).
E.H. VAN BRUMMELEN, H.C. RAVEN, Numerical Solution of Steady Free-Surface Navier-Stokes Flow, Procs. of the 15th International Workshop on Water Waves and Floating Bodies 16-19, Caesarea (Miloh, T. and Zilman, G., eds.), Tel-Aviv University, Faculty of Engineering (2000).
E.H. VAN BRUMMELEN, H.C. RAVEN, B. KOREN, Efficient numerical solution of steady free-surface Navier-Stokes flow, Journal of Computational Physics, 174 (2001) 120-137.
E.H. VAN BRUMMELEN, H.C. RAVEN, B. KOREN, Numerical solution of steady free-surface Navier-Stokes flow, Procs. of the First International Conference on Computational Fluid Dynamics, Kyoto, 305-310 (N. Satofuka, ed.), Springer, Berlin (2001).
E.H. VAN BRUMMELEN, A. SEGAL, Adjoint shape optimization for steady free-surface flows, Procs. of the Seventh ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford, 549-556 (M.J. Baines, ed.), Oxford University Press, Oxford (2001).
S. BRYANT, C.N. DAWSON, C.J. VAN DUIJN, Dispersion Induced Chromatographic Waves, Industrial & Engineering Chemistry Research 39 (2000) 2682-2691.
X.H. CAMPMAN, C.D. RIYANTI, G.C. HERMAN, Statics and near-field scattering, Proceedings 63 rd EAGE Conference, (2001) Amsterdam, P-156.
X.H. CAMPMAN, C.D. RIYANTI, G.C. HERMAN, Statics and near-field scattering, Proceedings 71 st SEG Convention, (2001) San Antonio.
S. CLAUDI, L.A. PELETIER, A. TESEI, A free boundary problem involving convection and singular absorption, J. Math. Anal. Appl. 243 (2000) 191-216.
C. CUESTA, C.J. VAN DUIJN, J. HULSHOF, Infiltration in porous media with dynamic capillary pressure: travelling waves, in European Journal of Applied Mathematics 11 (2000) 381-397.
A. DITZEL, G.C. HERMAN, Response of a layered elastic half space to a moving high-speed train, Proceedings 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Santiago de Compostela, Spain, Ed. A. Bermudez et al., (2000) 138-142.
A. DITZEL, G.C. HERMAN, Train induced ground vibrations: the effect of a rail embankment, Proceedings 63 rd EAGE Conference, (2001) Amsterdam, P-125.
A. DITZEL, G.C. HERMAN, G.G. DRIJKONINGEN, Seismograms of moving trains: comparison of theory and measurements, Journal of Sound and Vibration, 248, No. 4, 635-652, 2001.
A. DITZEL, G.C. HERMAN, P. H¨OLSCHER, Elastic wave generated by high-speed trains, Journal of Computational Acoustics, 9, 833-840, 2001.
A. DITZEL, H.S. LOS, G.C. HERMAN, P. H¨OLSCHER, G.G. DRIJKONINGEN, Seismograms of moving trains, Proceedings 62nd EAGE Conference, Glasgow, (2000) P-153.
A. DITZEL, H.S. LOS, G.C. HERMAN, P. H¨OLSCHER, G.G. DRIJKONINGEN, Waves generated by moving trains: modeling and experiments, Proceedings SEG 70th Annual Meeting, Calgary, (2000) 2424-2427.
A. DOELMAN, W. ECKHAUS, T.J KAPER, Slowly-modulated two-pulse solutions in the Gray-Scott model, I: asymptotic construction and stability, SIAM J. Appl. Math. 61(3), (2000) 1080-1102.
A. DOELMAN, W. ECKHAUS, T.J KAPER, A note on two pulse solutions in the
-D Gray-Scott model,
in EQUADIFF99, International Conference on Differential Equations 2 Vol., (B. Fiedler, K. Gršger, J. Sprekels eds.), World Scientific, Singapore etc., 775-780 (2000).
A. DOELMAN, W. ECKHAUS, T.J KAPER, Slowly-modulated two-pulse solutions in the Gray-Scott model, II: geometric theory, bifurcations and splitting dynamics, SIAM J. Appl. Math. 61(6), (2001) 2036-2062.
A. DOELMAN, R.A. GARDNER, T.J KAPER, The stability of large pulse solutions in the generalized Gierer-Meinhardt equation, in EQUADIFF99, International Conference on Differential Equations 2 Vol., (B. Fiedler, K. Gršger, J. Sprekels eds.), World Scientific, Singapore etc., 781-786 (2000).
A. DOELMAN, R.A. GARDNER , T.J KAPER, Large stable pulse solutions in reaction-diffusion equations, Indiana Univ. Math. J. 50(1), (2001) 443-507.
A. DOELMAN, G. HEK, Homoclinic saddle-node bifurcations in singularly perturbed systems, J. Dyn. Diff. Eq. 12(1), (2000) 169-216.
J.L.M. VAN DORSSELAER, M.E. HOCHSTENBACH, H.A. VAN DER VORST, Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method, SIAM J. Matrix Anal. Appl., 22 (2000) 837-852.
C.J. VAN DUIJN, J. BRUINING, F. VERMOLEN, Gel placement in porous media constant injection rate, Transport in Porous Media, 44, (2001) 247-266.
C.J. VAN DUIJN, G. GALIANO, M. A. PELETIER, A diffusion-convection problem with drainage arising in the ecology of mangroves, Interfaces and Free Boundaries, 3 (2001) 15-44.
C.J. VAN DUIJN, I.A. GUERRA, M. A. PELETIER, Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well, J. Math. Anal. Appl., 260 (2001) 367-383.
C.J. VAN DUIJN, F.M. VAN KATS, A mathematical mode for hysteretic two-phase flow in porous media, Transport in Porous Media, 43, (2001) 239-263.
U. EBERT, M. ARRAYÁS, Pattern formation in electric discharges, Coherent Structures in Complex Systems (eds.: Reguera, D. et al), Lecture Notes in Physics, 567 Springer, Berlin (2001) 270-282.
U. EBERT, M. ARRAYÁS, N. TEMME, B. SOMMEIJER, J. HUISMAN, Critical conditions for phytoplankton blooms, Bull. Math. Biol., 63 (2001) 1095-1124.
U. EBERT, W. VAN SAARLOOS, Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts, Physica D, 146 (2000) 1-99.
U. EBERT, W. VAN SAARLOOS, Breakdown of the standard Perturbation Theory and Moving Boundary Approximation for ``Pulled'' Fronts, Phys. Rep., 337 (2000) 139-156.
L.T. ENGELBORGHS, K.J. IN 'T HOUT, D. ROOSE, Collocation methods for the computation of periodic solutions of delay differential equations, SIAM J. Sc. Comp. 22 (2000) 1593-1609.
ERNST, F.E., G.C. HERMAN, Tomography of dispersive media, J. Acoust. Soc. Am. 108 (1), (2000) 105-116.
J. ESCHER, G. PROKERT, Stability of the equilibria for spatially periodic flows in porous media, Nonlinear Analysis TM&A 45 (2001) 1061-1080
C.T.H. EVERAARS, B. KOREN, F. ARBAB, Dynamic process composition and communication patterns in irregularly structured applications, Concurrency: Practice and Experience, 12 (2000) 157-174.
R. EYMARD, D. HILHORST, R. VAN DER HOUT, L.A. PELETIER, A reaction-diffusion system approximation of a one-phase Stefan problem, Optimal control and partial differential equations (Eds. J.L. Menaldi, E. Rofman, A. Sulem), Proceedings of the meeting in in honour of A. Bensoussan's 60th birthday, (2000) 156-170.
B.W. VAN DE FLIERT, R. VAN DER HOUT, A generalised Stefan Problem in a diffusion model with evaporation, Siam J. Appl. Math., 60 (2000, nr 4) 1128-1136.
J.E. FRANK, P.J. VAN DER HOUWEN, Diagonalizable extended backward differentiation formulas, BIT, 40 (2000) 497-512.
J.E. FRANK AND P.J. VAN DER HOUWEN, Parallel iteration of extended backward differentiation formulas, IMA J. Numer. Anal., 21 (2001) 367-385.
J.E. FRANK, C. VUIK, On the construction of deflation-based preconditioners, SIAM J. Sci. Comput., 23 (2001) 442-462.
V.A. GALAKTIONOV, L.A. PELETIER, J.L. VAZQUEZ, Asymptotics of the fast-diffusion equation with critical exponent, SIAM J. Math. Anal. 31 (2000) 1157-1174.
G. GALIANO, Spatial and time localization of solutions of the Boussinesq system with nonlinear thermal diffusion, Nonlinear Analysis, 42 (2000) 423-438.
R.W. GHRIST, J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Closed characteristics of fourth-order Twist systems via braids, Comptes Rendus Ac. Sc. Paris, t. 331 (2000), 861-865.
J.K HALE, L.A. PELETIER, W.C. TROY, Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis, SIAM J. Appl. Math. 61 (2000) 102-130.
E.D. HAVIK, P.W. HEMKER, W. HOFFMANN, Application of the over-set grid technique to a model singular perturbation problem, Computing, 65 (2000) 339-356.
G. HEK, Fronts and pulses in a class of reaction-diffusion equations: a geometric singular perturbation approach, Nonlinearity 14 (2001) 35-72.
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, Acceleration by parallel computations of solving high-order time-accurate difference schemes for singularly perturbed convection-diffusion problems, Numerical Analysis and Its Applications: Second International Conference, NAA 2000, Rousse, Bulgaria, 2000; Revised Papers, Lecture Notes in Computer Science, 1988, 393-401 (L. Vulkov, J. Wasniewski and P. Yalamov, eds.), Springer, Berlin (2001).
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, Distributing the numerical solution of parabolic singularly perturbed problems with defect correction over independent processes, Siberian J. Numer. Mathematics, 3 (2000) 229-258.
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA,
-Uniform schemes with high-order time-accuracy for parabolic singular perturbation problems,
IMA Journal of Numerical Analysis, 20 (2000) 99-121.
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, Parallel methods based on a defect-correction technique for parabolic singularly perturbed problems, In: (G.I. Shishkin J.J.H. Miller and L.Vulkov, eds), Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, (43-50), New York, USA, (2000) Nova Science Publishers, Inc.
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, High-order time-accurate parallel schemes for parabolic singularly perturbed problems with convection, Computing, 66 (2001) 139-161.
P.W. HEMKER, G.I. SHISHKIN, I.V.. TSELISHCHEVA, Parallel methods for quasilinear singularly perturbed reaction-diffusion equations, In: (I.I. Eremin, L. Lasiecka, and V.I. Maksimov, eds), Procs. of the International Conference on Distributed Systems: Optimization and Economic-Environmental Applications, (348-351), Ekaterinburg, Russia, 2000 Nauk DSO'2000.
P.W. HEMKER, F. SPRENGEL, Experience with the solution of a finite difference discretization on sparse grids, In: Numerical Analysis and Its Applications: Second International Conference, NAA 2000, Rousse, Bulgaria, 2000; Revised Papers, Lecture Notes in Computer Science, 1988, 402-413 (L. Vulkov, J. Wasniewski and P. Yalamov, eds.), Springer, Berlin (2001).
G.C. HERMAN, Transmission of elastic waves through solids containing small-scale heterogeneities, Geophys. J. Int., 145, (2001) 436-446.
G.C. HERMAN, P.A. MILLIGAN, Q. DONG, J.W. RECTOR, Analysis and removal of multiply scattered tube waves, Geophysics, 65, (2000) 745-754.
G.C. HERMAN, P.A. MILLIGAN, R.J. HUGGINS, J.W. RECTOR, Imaging shallow objects and heterogeneities with scattered guided waves, Geophysics, 65, (2000) 247-252.
E.G. VAN DEN HEUVEL, New stability results for Runge-Kutta methods adapted to delay differential equations, Appl. Numer. Mathem. 34 (2000) 293-308.
E.G. VAN DEN HEUVEL, Using resolvent conditions to obtain new stability results for theta-methods for delay differential equations, IMA Journ.Numer.Anal. 21 (2001) 421-438.
D. HILHORST, R. VAN DER HOUT, L.A. PELETIER, Nonlinear diffusion in the presence of fast reaction, Nonlinear Analysis, 41 (2000) 803-823.
D. HILHORST, M. A. PELETIER, Convergence to Travelling Waves in a Reaction-Diffusion System Arising in Contaminant Transport, Journal of Differential Equations 163 (2000) 89-112.
P. HOLMES, A. DOELMAN, G. HEK, G. DOMOKOS, Homoclinic orbits and chaos in three- and four-dimensional flows, paper for Royal Society Discussion Meeting on Topological Methods in the Physical Sciences, London, 2000, Phil. Trans. Roy. Soc. Lond. A 359 (2001) 1429-1438.
P. HOLMES, G. DOMOKOS, G. HEK, Euler buckling in a potential field, J. Nonlinear Sc. 10 (2000) 477-505.
A.J. HOMBURG, Singular heteroclinic cycles, Journ. Diff. Eq. 161 (2000) 358-402.
A.J. HOMBURG, Piecewise smooth interval maps with nonvanishing derivative, Ergod. Th. and Dynam. Sys. 20 (2000) 749-774
A.J. HOMBURG, Inclination flips in the unfolding of a singular heteroclinic cycle, in: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Volumes in Mathematics and its Applications 119 Springer-Verlag (2000)
A.J. HOMBURG, Infinite modal maps and homoclinic bifurcations, in EQUADIFF99, International Conference on Differential Equations 2 Vol., (B. Fiedler, K. Gršger, J. Sprekels eds.), World Scientific, Singapore etc., (2000).
A.J. HOMBURG, Cascades of homoclinic doubling bifurcations, in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, (B. Fiedler ed.), Springer Verlag (2001).
A.J. HOMBURG, H. KOKUBU, V. NAUDOT, Homoclinic-doubling cascades, Arch. Rational Mech. Analysis 160 (2001) 195-243.
A.J. HOMBURG, B. KRAUSKOPF, Resonant homoclinic flip bifurcations, J. Dynam. Differential Equations 12 (2000) 807-850
A.J. HOMBURG, T. YOUNG, Universal scalings in homoclinic doubling cascades, Commun. Math. Phys. 222 (2001) 269-292.
A.J. HOMBURG, T. YOUNG, Birkhoff averages and bifurcations, in Global Analysis of Dynamical Systems, Festschrift dedicated to Floris Takens on the occasion of his 60th birthday, (H.W. Broer, B. Krauskopf, G. Vegter eds), Institute of Physics Publishing (2001).
K.J. IN 'T HOUT, Convergence of Runge-Kutta methods for delay differential equations, BIT 41 (2001) 322-344.
R. VAN DER HOUT, Flow alignment in nematic liquid crystals in flows with cylindrical symmetry, Diff. Int. Eqs., 14 (2001) 189-211.
R. VAN DER HOUT, Draw resonance in isothermal fiber spinning of Newtonian and power law fluids, Euro. J. Appl. Math., 11 (2000) 129-136.
R. VAN DER HOUT, E. VILUCCHI, Singularities and nonuniqueness in cylindrical flow of nematic liquid crystals, Adv. Diff. Eqs., 6 (2001, nr. 7) 799-820.
P.J. VAN DER HOUWEN, Note on the time integration of 3D advection-reaction equations, J. Comput. Appl. Math., 116 (2000) 275-278.
P.J. VAN DER HOUWEN, E. MESSINA, B.P. SOMMEIJER, Oscillatory Störmer-Cowell methods, J. Comput. Appl. Math., 115 (2000) 547-564.
P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Diagonally implicit Runge-Kutta methods for 3D shallow water applications, Adv. Comput. Math., 12 (2000) 229-250.
P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Approximate factorization for time-dependent partial differential equations, J. Comp. Appl. Math., 128 (2001) 447-466.
P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Factorization in block-triangularly implicit methods for shallow water applications, Appl. Numer. Math., 36 (2001) 113-128.
J. HULSHOF, Some aspects of the thin film equation, Proceedings of European Congress of Mathematics Vol. II, Progress in Math. Vol 202, 291-301, Birkhauser Verlag (2001).
W. HUNDSDORFER, Partially implicit BDF2 blends for convection dominated flows, SIAM J. Num. Anal., 38 (2001) 1763-1783.
G.W. HUNT, M. AHMER WADEE, M.A. PELETIER, The Maxwell Stability Criterion in Pseudo-Energy Models of Kink Banding, Journal of Structural Geology, 22 (2000) 667-679.
G.W. HUNT, M.A. PELETIER, A.R. CHAMPNEYS, P.D. WOODS, M. AHMER WADEE, C.J. BUDD, G. LORD, Cellular Buckling in Long Structures, Nonlinear Dynamics, 21 (2000) 3-29.
D. IRON, M.J. WARD, Spike pinning for the Gierer-Meinhardt model, Nonlinear waves: computation and theory (Athens, GA, 1999), Math. Comput. Simulation 55 (2001) 419-431.
D. IRON, M.J. WARD, J. WEI, The stability of spike solutions to the one-dimensional Gierer-Meinhardt model, Phys. D 150 (2001) 25-62.
J.F. KAASHOEK, J.H.P. PAELINCK, Potentialised partial differential equations in spatial economics: Some further results on the potentialising function, The Annals of Regional Science, 35 (2001) 463-482.
W. KALIES, J. KWAPISZ, J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Homotopy classes for stable periodic and chaotic patterns in fourth order Hamiltonian systems, Comm. Math. Phys. 214 (2000), 573-592.
W. KALIES, T. WANNER, R. C. A. M. VAN DER VORST, Slow motion in higher-order systems and Gamma-convergence in one space dimension, Nonlinear Anal. 44 (2001), no. 1, Ser. A: Theory Methods, 33-57.
R. KEPPENS, M. NOOL, P.A. ZEGELING, J.P. GOEDBLOED, Dynamic grid adaptation for computational magnetohydrodynamics, in Procs. of High Performance Computing and Networking, Europe 2000, Amsterdam, 2000, Lecture Notes in Computer Science, 1823, 61-70 (M. Bubak, H. Afsarmanesh, R. Williams, and B. Hertzberger, eds.), Springer, Berlin (2000).
M. KIRKILIONIS, O. DIEKMANN, B. LISSER, M. NOOL, B.P. SOMMEIJER, A. DE ROOS, Numerical continuation of equilibria of physiologically structured population models, Part I: Theory, Math. Models and Methods in Appl. Sciences 11 (2001) 1101-1127.
B. KOREN, M.R. LEWIS, Computation of compressible, immiscible water-air flows under the action of gravity, Procs. of the ECCOMAS Computational Fluid Dynamics Conference (ECCOMAS CFD 2001), Swansea, 2001, CD-ROM, European Community on Computational Methods in Applied Sciences, ISBN 0 905 091 12 4 (2001).
KUSNANDI, G.B. VAN BAREN, W.A. MULDER, G.C. HERMAN, V.V VAN ANTWERPEN, Sub-grid finite-difference modeling of wave propagation and diffusion in cracked media, Proceedings SEG 70th Annual Meeting, Calgary, (2000) 2420-2423.
T. LACHAND-ROBERT, M.A. PELETIER, Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions, Mathematische Nachrichten, 226 (2001) 153-176.
T. LACHAND-ROBERT, M.A. PELETIER, An Example of Non-convex Minimization and an Application to Newton's Problem of the Body of Least Resistance, Annales de l'Institut Henri Poincaré, Analyse Nonlinéaire 18 (2001) 179-198.
J. LANG, J.G. VERWER, ROS3P - An accurate third order Rosenbrock solver designed for parabolic problems, BIT, 41 (2001) 731-738.
D. LANSER, J.G BLOM, J.G. VERWER, Spatial discretization of the shallow water equations in spherical geometry using Osher's scheme, J. Comput. Phys., 165 (2000) 522-541.
D. LANSER, J.G. BLOM, J.G. VERWER, Time integration of the shallow water equations in spherical geometry, J. Comput. Phys., 171 (2001) 1-21.
B. LASTDRAGER, B. KOREN, J.G. VERWER, The sparse grid combination technique applied to time-dependent advection problems, Lecture Notes in Computational Science and Engineering 14 (2000) 143-149.
B. LASTDRAGER, B. KOREN, J.G. VERWER, The sparse-grid combination technique applied to time-dependent advection problems, Procs. of the Sixth European Multigrid Conference, Gent, 1999, Lecture Notes in Computational Science and Engineering, 14, 143-149 (E. Dick, K. Riemslagh and J. Vierendeels, eds.), Springer, Berlin (2000).
B. LASTDRAGER, B. KOREN, J.G. VERWER, Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique a Rosenbrock solver, Computational Methods in Applied Mathematics, 1 (2001) 86-98.
B. LASTDRAGER, B. KOREN, J.G. VERWER, Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver, Computational Methods in Applied Mathematics, 1 (2001) 86-98.
B. LASTDRAGER, B. KOREN, J.G. VERWER, The sparse-grid combination technique applied to time-dependent advection problems, Applied Numerical Mathematics, 38 (2001) 377-401.
R. VAN LIERE, J. MULDER, J. FRANK, J. DE SWART, Virtual Fekete Point Configurations: a Case Study in Perturbing Complex Systems, Procs. of IEEE Virtual Reality 2000, S. Feiner and D. Thalmann, eds., IEEE Computer Society Press, Los Alamitos, California, USA (2000) 189-196.
H.S. LOS, G.C. HERMAN, P. H¨OLSCHER, Dynamic interaction between train wheels and the subsurface, Journal of Sound and Vibration, 247, No. 5, pp 917-926, 2001.
H.S. LOS, G.C. HERMAN, P. H¨OLSCHER, Dynamic interaction between train wheels and the subsurface, Proceedings 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Santiago de Compostela, Spain, Ed. A. Bermudez et al., (2000) 868-872.
D.S. MORGAN , A. DOELMAN, T.J KAPER, Stationary periodic patterns in the 1D Gray-Scott model, Meth. Appl. Anal. 7(1), (2000) 105-150.
MUIJRES, A.J.H., G.C. HERMAN, Derivation of smooth apparent models for media with small-scale cracks (scalar theory), Geophys. J. Int. 140, (2000) 587-597.
M. NOOL, A. VAN DER PLOEG, A Parallel Jacobi-Davidson-type Method for Solving Large Generalized Eigenvalue Problems in Magnetohydrodynamics, SIAM J. Sci. Comput., 22 (2000) 95-112.
J. NOORDMANS, P.W. HEMKER, Application of an adaptive sparse-grid technique to a model singular perturbation problem, Computing, 65 (2000) 357-378.
L.A. PELETIER, W.C. TROY, Pattern formation described by the Swift-Hohenberg equation, Proceedings Nonlinear diffusive systems - Dynamics and Asymptotics, (Eds. E. Yanagida & Y. Morita), 1-15, Research Institute for Mathematical Sciences, Kyoto, (2000).
L.A. PELETIER, W.C. TROY, Pulses, kinks and fronts in the Gray-Scott model, Proceedings Nonlinear diffusive systems - Dynamics and Asymptotics, (Eds. E. Yanagida & Y. Morita), 16-28, Research Institute for Mathematical Sciences, Kyoto, (2000).
M.A. PELETIER, Generalized Monotonicity from Global Minimization in Fourth-Order ODE's, Nonlinearity, 14 (2001) 1221-1238.
M.A. PELETIER, Sequential Buckling: A Variational Analysis, SIAM J. Math. Anal., 32 (2001) 1142-1168.
P. PINTUS, D. SANDS, R. DE VILDER, On the transition from local regular to global irregular fluctuations, J. Econom. Dynam. Control 24 (2000) 247-272.
I.S. POP, V. POP, S. COBZAC, C. SARBU, Use of weighted least squares splines for calibration in analytical chemistry, Journal of Chemical Information and Computer Sciences, 40 (1), (2000) 91-98.
I.S. POP, W.A. YONG, On the existence and uniqueness of a solution for an elliptic problem, Studia Univ. Babes-Bolyai Math., 45 (4), (2000) 97-107.
M.H. VAN RAALTE, B.W. VAN OUDHEUSDEN, An analytical model to describe the Reynolds number effects in supersonic base flow, AIAA-paper 2001-2785.
C.D. RIYANTI, G.C. HERMAN, Modeling of the near-field scattering problem, Proceedings 6th Indonesian Student Scientific Meeting, Manchester, Paper V.7 (2001).
A. ROCCO, U. EBERT, W. VAN SAARLOOS, Subdiffusive behavior of fronts with multiplicative noise in the pulled regime, Phys. Rev., E 62 (2000) 13-16.
G. SEVERINO, G. DAGAN, C.J. VAN DUIJN, A note on transport of a pulse of nonlinearly reactive solute in a heterogeneous formation, Computational Geosciences, 4 (2000) 275-286.
C. STORM, W. SPRUIJT, U. EBERT, W. VAN SAARLOOS, Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states, Phys. Rev., E 61 (2000) 6063-6066.
M. VAN DER VEEN, G.C. HERMAN, Impact of near-surface scattering on seismic data in Oman, Proceedings 63 rd EAGE Conference, (2001) Amsterdam, IS-5.
F.J. VERMOLEN, C. VUIK, A mathematical model for the dissolution of particles in multi-component alloys, J. of Comp. and Appl. Math., 126 (2000) 233-254.
J.G. VERWER, W.H. HUNDSDORFER, J.G. BLOM, Numerical time integration for air pollution problems, Surveys on Mathematics in Industry, 10 (2001) 107-174.
J.G. VERWER, B.P. SOMMEIJER, A numerical study of mixed parabolic-gradient systems, J. Comp. Appl. Math., 132 (2001) 191-210.
C. VUIK, J.E. FRANK, A Parallel Block Preconditioner Accelerated by Coarse Grid Correction, in M. Bubak, H. Afsarmanesh, R. Williams and B. Hertzberger, eds., Lecture notes in Computer Science 1823, Springer, Berlin (2000) 99-108.
C. VUIK, J.E. FRANK, Coarse grid acceleration of a parallel block preconditioner, Future Generation Computing Systems, 17 (2001) 933-940.
C. VUIK, J.E. FRANK, A. SEGAL, A parallel block-preconditioned GCR method for incompressible flow problems, Future Generation Computing Systems, 18 (2001) 31-40.
B. ZUBIK-KOWAL, Stability in the numerical solution of linear parabolic equations with a delay term, BIT 41 (2001) 191-206.
K.P. ZUIDEVELD, H.J. MAAS, N. TREIJTEL, J. HULSHOF, P.H. VAN DER GRAAF, L.A. PELETIER, M. DANHOF, A set-point model with oscillatory behavior predicts the time-course of 8-OH-DPAT induced hypothermia, Am J Physiol Regulatory Comp Physiol. 281 (2001) 2059-2071.
Ph.D. Theses
G.J.B VAN DEN BERG, Dynamics and equilibria of fourth order differential equations, Leiden University (2000).
N. BOROVYKH, Stability estimates and resolvent conditions in the numerical solution of initial value problems, Leiden University (2001).
J.E. FRANK, Efficient Algorithms for the Numerical Solution of Differential Equations, TU Delft (2000).
I.A. ROTARIU, Fourth order model equations in physics and mechanics, Leiden University (2000).
Reports and pre-prints
S.B. ANGENENT, J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Contact and non-contact type Hamiltonian systems generated by second order Lagrangians, preprint (2001).
M. ARRAYÁS, U.M. EBERT, W.H. HUNDSDORFER, Spontaneous branching of anode-directed streamers between planar electrodes, CWI Report MAS-R0120 (2001).
A. BEREZOVSKY, R. KERSNER, L.A. PELETIER, A free boundary problem for a reaction-diffusion equation, Report No MI 2001-10.
J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Morse theory on spaces of braids and Lagrangian dynamics, R.W. Ghrist, preprint (2001).
J.B. VAN DEN BERG, R.C.A.M. VAN DER VORST, Stable patterns for fourth order parabolic equations, to appear in Duke Math. Journ.
P.J.F. BERKVENS, M.A. BOTCHEV, J.G. VERWER, M.C. KROL, W. PETERS, Solving Vertical Transport and Chemistry in Air Pollution Models, CWI Report MAS-R0023 (2000).
M. BERTSCH, R. DAL PASSO, C.J. VAN DUIJN, Analysis of oil trapping in porous media flow, RANA Report 01-08. Sectie Analyse, (2001) 23 pp.
M. BERTSCH, R. DAL PASSO, R. VAN DER HOUT, Nonuniqueness for the heat flow of harmonic maps on the disk, Report Mathematical Institute, University of Leiden, nr. MI 2000-43, to appear in Arch. Rat. Mech. Anal.
J.G. BLOM, M.A. PELETIER, Diffusive gradients in the PTS system, CWI Report MAS-R0020 (2000).
N. BOROVYKH, Stability in the numerical solution of the heat equation with non-local boundary conditions, Report nr. MI 2000-26, Math.Inst., Leiden Univ.
N. BOROVYKH, D. DRISSI, M.N. SPIJKER, A bound on powers of linear operators, with relevance to numerical stability, Report nr. MI 2000-30, Math.Inst., Leiden Univ.
N. BOROVYKH, M.N. SPIJKER, Bounding partial sums of Fourier series in weighted L2-norms, with applications to matrix analysis, Report nr. MI 2001-08, Math.Inst., Leiden Univ.
M.A. BOTCHEV, J.G. VERWER, Improving approximate matrix factorizations for implicit time integration in air pollution modelling, CWI Report MAS-R0031 (2000).
M. BOWEN, J. HULSHOF, J.R. KING, Anomalous exponents and dipole solutions for the thin film equation, revised version of Leiden preprint MI 01-2000, to appear in SIAM Journal of Applied Math.
E.H. VAN BRUMMELEN, Numerical solution of steady free-surface Navier-Stokes flow, CWI Report MAS-R0018 (2000).
E.H. VAN BRUMMELEN, B. KOREN, H.C. RAVEN, Efficient numerical solution of steady free-surface Navier-Stokes flow, CWI Report MAS-R0103.
C. CUESTA, J. HULSHOF, A model problem for unsaturated porous media flow with dynamic capillary pressure, CWI Report MAS-R0104 (2001).
C. CUESTA, J. HULSHOF, A model problem for groundwater flow with dynamic capillary pressure: stability of travelling waves, accepted for publication in Nonl. Anal. TMA.
C.J. VAN DUIJN, M. BONNET, H. BERESTYCKI, Caffarelli's approach to a two-phase free boundary problem, Amsterdam: CWI, (2001).
C.J. VAN DUIJN, I.A. GUERRA, M.A. PELETIER, Asymptotic results for injection of reactive solutes from a three-dimensional well, CWI Report MAS-R0022 (2000).
C.J. VAN DUIJN, I.A. GUERRA, M.A. PELETIER, Global existence conditions for a non-local problems arising in statistical mechanics, CWI Report MAS-R0119 (2001).
C.J. VAN DUIJN, A. MIKELIC, I.S. POP, Effective Buckley-Everett equations by homogenization, RANA Report 01-01. Sectie Analyse, (2001) 10 pp.
C.J. VAN DUIJN, A. MIKELIC, I.S. POP, Effective equations for two-phase flow with trapping on the micro scale. RANA Report 01-02. Sectie Analyse, (2001) 43 pp.
C.J. VAN DUIJN, R.A. WOODING, G.J.M. PIETERS, A. VAN DER PLOEG, Stability criteria for the boundary layer formed by throughflow at a horizontal surface of a porous medium, RANA Report 01-12. Sectie Analyse, (2001) 18 pp.
C.J. VAN DUIJN, R.A. WOODING, A. VAN DER PLOEG, Stability criteria for the boundary layer formed by throughflow at a horizontal surface of a porous medium: extensive version, RANA, Report 01-05. Sectie Analyse, (2001) 55 pp.
U.M. EBERT, M. ARRAY´AS, Pattern formation in electric dicharges, CWI Report MAS-R0028 (2000).
U. EBERT, W. VAN SAARLOOS, Breakdown of the standard perturbation theory and moving boundary approximation for ``pulled'' fronts, CWI Report MAS-R0003 (2000).
U.M. EBERT, W.VAN SAARLOOS, L.A. PELETIER, Universal algebraic convergence in time of pulled fronts: the common mechanism for difference-differential and partial differential equations, CWI Report MAS-R0011 (2000), to appear in Eur. J. Appl. Math..
J.E. FRANK, S. REICH, A particle-mesh method for the shallow water equations near geostrophic balance, CWI Report MAS-R0102 (2001).
C.T.H. EVERAARS, F. ARBAB, B. KOREN, Parallel, distributed-memory implementation of sparse-grid methods for three-dimensional fluid-flow computations, CWI Report SEN-R0039.
J.E. FRANK, S. REICH, Conservation properties of smoothed particle hydrodynamics applied to the shallow water equations, CWI Report MAS-R0111 (2001).
J.E. FRANK, C. VUIK, On the construction of deflation-based preconditioners, CWI Report MAS-R0009 (2000).
A. GERIH, J.G. VERWER, Operator splitting and approximate factorization for taxis-diffusion-reaction models, CWI Report MAS-R0026 (2000).
M. G¨UNTHER, G. PROKERT, On Stokes flow with variable and degenerate surface tension coefficient, Preprint 02/01 of Mathematical Institute, Leipzig University, to appear in Nonlin. Diff. Eq. Appl.
P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, High-order time-accurate hemes for parabolic singular perturbation problems with convection, CWI Report MAS-R0101.
E.G. VAN DEN HEUVEL, A new approach to the stability of Runge-Kutta methods for solving systems of ordinary and delay differential equations, Report nr. 2001-06, Math.Inst., Leiden Univ.
E.G. VAN DEN HEUVEL, Cross norms in numerical analysis, Preprint (2001).
A.J. HOMBURG, D. SANDS, R.G. DE VILDER, Computing invariant sets, Delta research series 2001-23 (to appear in J. Bif. Chaos).
K.J. IN 'T HOUT, On the contractivity of implicit-explicit linear multistep methods, Report nr. 2000-21, Math.Inst., Leiden Univ.
K.J. IN 'T HOUT, B. ZUBIK-KOWAL, On the stability of Radan IIA collocation processes for delay differential equations, Report nr. MI 2001-26, Math.Inst., Leiden Univ.
R. VAN DER HOUT, On the nonexistence of finite time bubble trees in symmetric harmonic map heat flows from the disk to the 2-sphere, Report Mathematical Institute, University of Leiden, nr. MI 2001-14.
R. VAN DER HOUT, E. VILUCCHI, Singularities and nonuniqueness in cylindrical flow of nematic liquid crystals, Preprint 2/2000, Istituto per le Applicazioni del Calcolo "Mauro Picone", Roma.
J. HUISMAN, M. ARRAYÁS, U.M. EBERT, B.P. SOMMEIJER, How do sinking phytoplankton species manage to persist? CWI Report MAS-R0105 (2001).
W.H. HUNDSDORFER, J. JAFFRÉ, Implicit-explicit time stepping with spatial diontinuous finite elements, CWI Report MAS-R0030 (2000).
W.H. HUNDSDORFER, J.G. VERWER, On the convergence analysis of advection-diffusion hemes on non-uniform grids, CWI Report MAS-R0118 (2001).
J.F. KAASHOEK, H.K. VAN DIJK, Neural networks as econometric tool, Report EI2000-31/A, Econometric Institute, Erasmus University Rotterdam, (2000) 29-pages.
J.F. KAASHOEK, H.K. VAN DIJK, Neural networks as econometric tool, Revised edition, Report EI2001-05, Econometric Institute, Erasmus University Rotterdam, (2001) 32-pages. (to appear in Computer-Aided Econometrics).
B. KOREN, M.R. LEWIS, E.H. VAN BRUMMELEN, B. VAN LEER, Riemann-problem and level-set approaches for two-fluid flow computations I. Linearized Godunov theme, CWI Report MAS-R0112.
B. KOREN, M.R. LEWIS, E.H. VAN BRUMMELEN, B. VAN LEER, Riemann-problem and level-set approaches for two-fluid flow computations II. Fixes for solution errors near interfaces, CWI Report MAS-R0113.
O. KOZLOVSKI, P. PINTUS, S. VAN STRIEN, R. DE VILDER, Business Cycle Models : Closing the Gap Between the Different Approaches, Delta research series 2001-01
O. KOZLOVSKI, S. VAN STRIEN, R. DE VILDER, The two-fixed point lemma, Delta research series 2001-02 and Warwick preprint series.
T. LACHAND-ROBERT, M.A. PELETIER, The minimum of quadratic functionals of the gradient on the set of convex functions, CWI Report MAS-R0016 (2000).
T. LACHAND-ROBERT, M.A. PELETIER, Newton's problem of the body of minimal resistance in the class of convex developable functions, CWI Report MAS-R0017 (2000).
J. LANG, J.G. VERWER, ROS3P - An accurate third-order Rosenbrock solver designed for parabolic problems, CWI Report MAS-R0013 (2000).
D. LANSER, A comparison of operator splitting and approximate matrix factorization for the shallow water equations in spherical geometry, CWI Report MAS-R0115 (2001).
D. LANSER, J.G. BLOM, J.G. VERWER, Time integration of the shallow water equations in spherical geometry, CWI Report MAS-R0021 (2000).
B. LASTDRAGER, B. KOREN, J.G. VERWER, Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver, CWI Report MAS-R0025 (2000).
M.A. PELETIER, Generalized monotonicity from global minimization in fourth-order ODE's, CWI Report MAS-R0027 (2000).
R. PETERS, R.G. DE VILDER, I.I.D. standard normaility for the Dutch (AEX) stock index, Delta research series 2001-24.
A. ROCCO, J. CASADEMUNT, U.M. EBERT, W. VAN SAARLOOS, The diffusion coefficient of propagating fronts with multiplicative noise, CWI Report MAS-R0109 (2001).
A. ROCCO, U.M. EBERT, W. VAN SAARLOOS, Subdiffusive fluctuations of ``pulled'' fronts with multiplicative noise, CWI Report MAS-R0010 (2000).
P.B. RODIN, U.M. EBERT, W.H. HUNDSDORFER, I.V. GREKHOV, Superfast fronts of impact ionization in initially unbiased layered semiconductor structures, CWI Report MAS-R0110 (2001).
P.B. RODIN, U.M. EBERT, W.H. HUNDSDORFER, I.V. GREKHOV, Tunneling-assisted impact ionization fronts in semiconductors, CWI Report MAS-R0121 (2001).
B.P. SOMMEIJER, P.J. VAN DER HOUWEN, Parallel solution of a coupled flow and transport model for shallow water, CWI Report MAS-R0008 (2000).
M.N. SPIJKER, Aspects of stability in numerical initial value problems, Report nr. MI 2000-36, Math.Inst., Leiden Univ.
C. STORM, W. SPRUIJT, U. EBERT, W. VAN SAARLOOS, Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states, CWI Report MAS-R0002 (2000).
J.G. VERWER, B.P. SOMMEIJER, A numerical study of mixed parabolic-gradient systems, CWI Report MAS-R0001 (2000).
K.P. ZUIDEVELD, N. TREIJTEL, H.J. MAAS, P.H. VAN DER GRAAF, L.A. PELETIER, M. DANHOF, A competitive interaction model predicts the effect of WAY-100,635 on the time course of R-(+)-8-Hydroxy-2-(di-n-propylamino) tetralin-induced hypothermia, To appear in The Journal of Pharmacology and Experimental Therapeutics (JEPT).
Other publications
A. DOELMAN, Patronen en Golven , inaugural speech 27 October 1999, oratiereeks Vossiuspers AUP; appeared in Nieuw Archief van de Wiskunde 5/1 (1) (2000), 18-27.
A. DOELMAN, Het begrip dimensie: theorie en experiment, Vakantiecursus 2001 Experimentele wiskunde, CWI syllabus 49, 17-38.
A. DOELMAN, H. DUISTERMAAT, J. GRASMAN, A. VAN HARTEN, In Memorian Wiktor Eckhaus, Nieuw Archief van de Wiskunde 5/2 (2) (2001) 18-20 and ITW Nieuws 11 (1) (2001) 10-13.
U.M. EBERT, Pattern formation in electric discharges, ERCIM News 22 (2001), 56-67.
G. HEK, M. PELETIER, Studiegroep Wiskunde in de industrie, Nieuw Archief voor Wiskunde 5/2(4) (2001) 315-316.
W. VAN SAARLOOS, U.M. EBERT, Some fronts are more equal than others, http://www.aps.org/meet/MAR00/baps/vpr/layg5-05.html, press page of the 2000 Spring Meeting of the American Physical Society.
K.P. ZUIDEVELD, L.A. PELETIER, M. DANHOF, Of medicine and math, Nieuw Archief voor Wiskunde 5 (2001) 218-220.