Barbara
Zubik-Kowal's homepage
Publications
[29]
Discrete variable methods for delay-differential equations with
threshold-type delays, J. Comput. Appl. Math., to appear, co-author
Z. Jackiewicz.
[28]
A variant of pseudospectral method for activity-dependent dendritic branch
model, J. of Neuroscience Methods, 165, (2007) no. 2, 306--319, co-authors
M. Dur-e-ahmad, S. Crook, Z. Jackiewicz.
[27]
Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels, BIT, 47 (2007), no. 2, 325--350,co-authors
F.C. Hoppensteadt, Z. Jackiewicz.
[26]
Numerical solutions of thalamo-cortical systems, Numerical analysis and approximation theory, (2006), 239--246,co-author
Z. Jackiewicz.
[25]
Solutions for the cell cycle in cell lines derived from human tumors, Comput. Math. Methods Med. 7 (2006), no. 4, 215--228.
[24] Spectral
collocation and waveform relaxation methods for nonlinear delay partial
differential equations, Appl. Numer. Math., 56 (2006), no. 3-4, 433--443,co-author
Z. Jackiewicz.
[23] Spectral
collocation and waveform relaxation methods with Gengenbauer
reconstruction for nonlinear conservation laws, Comput. Methods
Appl. Math., 5(1) (2005), 51-71, co-author Z. Jackiewicz.
[22] An iterated
pseudospectral method for delay partial differential equations, Appl. Numer. Math.,
55 (2005), 227-250, co-author J. Mead.
[21] The stability
of numerical approximations of the time domain current induced on a
thin wire and strip antennas, Appl. Numer. Math., 55 (2005), 48-68, co-authors P. J. Davies, D. B. Duncan.
[20] On the
stability of Radau IIA collocation methods for
delay differential equations, Math. Comput. Modelling, 40 (2004), 1297-1308, co-author K. in 't Hout.
[19] Pseudospectral
iterated method for differential equations with delay terms,
Springer-Verlag LNCS 3039 (2004), 451-458, co-author J. Mead.
[18] Error bounds
for spatial discretization and waveform relaxation
applied to parabolic functional-differential equations, J. Math. Anal.
Appl. 293 (2004), no. 2, 496-510.
[17] Spectral versus
pseudospectral solutions of the wave equation by waveform relaxation
methods, J. Sci. Comput. 20 (2004), no. 1, 1-28, co-authors Z.
Jackiewicz, B. D. Welfert.
[16] Fourier
stability analysis of a numerical method for time domain
electromagnetic scattering from a thin wire, Numer. Algorithms 35
(2004), no. 1, 121-130, co-author P. J. Davies.
[15] Error
estimations for iterated numerical schemes applied to parabolic partial
differential equations. Int. J. Appl. Math. 14 (2003), no. 3, 259-268.
[14] The time domain
integral equation for a straight thin
wire antenna with the reduced kernel is not well-posed, IEEE Trans.
Ant. Prop., 50(8), (2002), 1165-1166,
co-authors P. J. Davies, B. P. Rynne.
[13] Numerical
approximation of time-domain electromagnetic
scattering, Numer. Algorithms, 30 (2002), 25-36, co-author P. J. Davies.
[12] Stability in
the numerical solution of linear parabolic
equations with a delay term, BIT, 41:1 (2001).
[11] Chebyshev
pseudospectral method and waveform relaxation
for differential and differential-functional equations, Appl. Numer.
Math.,
34(2-3), (2000), 309-328.
[10] Waveform
relaxation for functional-differential equations,
SIAM J. Sci. Comput., 21(1), (1999), 207-226,co-author S. Vandewalle.
[9] Numerical
methods for impulsive partial differential equations,
Dynamic Syst. and Appl., 7(1), (1998), 29 - 52, co-author Z. Kamont.
[8] The method of
lines for parabolic differential-functional
equations, IMA Jour. Num. Anal., 17 (1997), 103-123.
[7] The method of
lines for impulsive functional partial differential
equations of the first order, Comm. Appl. Anal., 2 (1998), 111-128.
[6] Differential and
difference inequalities generated by
mixed problem for hyperbolic functional differential equations with
impulses,
Appl. Math. Comp., 80 (1996), 127-154, co-authors Z. Kamont, J. Turo
[5] The method of
lines for first order partial differential-functional
equations, Stud. Scien. Math. Hung., 34 (1998), 413-428.
[4] Convergence of
the method of lines for parabolic differential-functional
equations, Advances in Difference Equations (1995), 663-668.
[3] Monotone
iterative method for Caratheodory solutions of
differential-functional equations, Le Matematiche, L, II (1995),
311-321.
[2] Convergence
of the lines method for first-order partial
differential-functional equations, Numer. Meth. Part. Diff. Eqs, 10
(1994),
395-409.
[1]
On first order partial differential-functional inequalities,
Math. Balk., 6 (1992), 75-82.
Research
interests
Publications
Minisymposium organized in Japan
International & invited talks