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1

Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations

Z. Jackiewicz, B. Zubik-Kowal

Journal:

Applied Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 147 KB

english, 2006

2

Parallel computations and numerical simulations for nonlinear systems of Volterra integro-differential equations

P. Michaels, B. Zubik-Kowal

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2012

Language:

english

File:

PDF, 2.77 MB

english, 2012

3

Convergence of the lines method for first-order partial differential-functional equations

Barbara Zubik-Kowal

Journal:

Numerical Methods for Partial Differential Equations

Year:

1994

Language:

english

File:

PDF, 608 KB

english, 1994

4

Differential and difference inequalities generated by mixed problems for hyperbolic functional differential equations with impulses

Z. Kamont, J. Turo, B. Zubik-Kowal

Journal:

Applied Mathematics and Computation

Year:

1996

Language:

english

File:

PDF, 825 KB

english, 1996

5

The stability of numerical approximations of the time domain current induced on thin wire and strip antennas

Penny J. Davies, Dugald B. Duncan, Barbara Zubik-Kowal

Journal:

Applied Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 287 KB

english, 2005

6

An iterated pseudospectral method for delay partial differential equations

J. Mead, B. Zubik-Kowal

Journal:

Applied Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 266 KB

english, 2005

7

Discrete variable methods for delay-differential equations with threshold-type delays

Z. Jackiewicz, B. Zubik-Kowal

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 687 KB

english, 2009

8

Error bounds for spatial discretization and waveform relaxation applied to parabolic functional differential equations

Barbara Zubik-Kowal

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 226 KB

english, 2004

9

A variant of pseudospectral method for activity-dependent dendritic branch model

M. Dur-e-Ahmad, Z. Jackiewicz, B. Zubik-Kowal, S. Crook

Journal:

Journal of Neuroscience Methods

Year:

2007

Language:

english

File:

PDF, 853 KB

english, 2007

10

The stability of radau IIA collocation processes for delay differential equations

K.J. in 't Hout, B. Zubik-Kowal

Journal:

Mathematical and Computer Modelling

Year:

2004

Language:

english

File:

PDF, 680 KB

english, 2004

11

Chebyshev pseudospectral method and waveform relaxation for differential and differential–functional parabolic equations

Barbara Zubik-Kowal

Journal:

Applied Numerical Mathematics

Year:

2000

Language:

english

File:

PDF, 253 KB

english, 2000

12

Numerical solution of Volterra integro-differential equations modelling thalamo-cortical systems

B. Zubik-Kowal, Z. Jackiewicz, F.C. Hoppensteadt

Journal:

Year:

2007

Language:

english

File:

PDF, 78 KB

english, 2007

13

Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels

F.C. Hoppensteadt, Z. Jackiewicz, B. Zubik-Kowal

Journal:

BIT Numerical Mathematics

Year:

2007

Language:

english

File:

PDF, 726 KB

english, 2007

14

Nonlinear modeling with mammographic evidence of carcinoma

K. Drucis, M. Kolev, W. Majda, B. Zubik-Kowal

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 586 KB

english, 2010

15

Numerical Approximation of Time Domain Electromagnetic Scattering from a Thin Wire

Barbara Zubik-Kowal, Penny J. Davies

Journal:

Numerical Algorithms

Year:

2002

Language:

english

File:

PDF, 148 KB

english, 2002

16

Stability in the Numerical Solution of Linear Parabolic Equations with a Delay Term

Barbara Zubik-Kowal

Journal:

BIT Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 248 KB

english, 2001

17

Fourier Stability Analysis of a Numerical Method for Time Domain Electromagnetic Scattering from a Thin Wire

Barbara Zubik-Kowal, Penny J. Davies

Journal:

Numerical Algorithms

Year:

2004

Language:

english

File:

PDF, 110 KB

english, 2004

18

Experimental versus numerical data for breast cancer progression

C.L. Jorcyk, M. Kolev, K. Tawara, Barbara Zubik-Kowal

Journal:

Nonlinear Analysis: Real World Applications

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

19

Waveform Relaxation for Functional-Differential Equations

Zubik-Kowal, Barbara, Vandewalle, Stefan

Journal:

SIAM Journal on Scientific Computing

Year:

1999

Language:

english

File:

PDF, 621 KB

english, 1999

20

Numerical simulations for tumor and cellular immune system interactions in lung cancer treatment

Kolev, M., Nawrocki, S., Zubik-Kowal, B.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2013

Language:

english

File:

PDF, 663 KB

english, 2013

21

Numerical algorithm for the growth of human tumor cells and their responses to therapy

Zubik-Kowal, B.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 329 KB

english, 2014

22

Clinical study and numerical simulation of brain cancer dynamics under radiotherapy

Nawrocki, S., Zubik-Kowal, B.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 1.02 MB

english, 2015

23

The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed

Davies, P.J., Rynne, B.P., Zubik-Kowal, B.

Journal:

IEEE Transactions on Antennas and Propagation

Year:

2002

Language:

english

File:

PDF, 199 KB

english, 2002

24

NUMERICAL VERSUS EXPERIMENTAL DATA FOR PROSTATE TUMOUR GROWTH

KOLEV, MIKHAIL, ZUBIK-KOWAL, BARBARA

Journal:

Journal of Biological System

Year:

2011

Language:

english

File:

PDF, 183 KB

english, 2011

25

Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells

Kolev, M., Zubik-Kowal, B.

Journal:

Computational and Mathematical Methods in Medicine

Year:

2011

Language:

english

File:

PDF, 5.69 MB

english, 2011

26

Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors

Zubik-Kowal, B.

Journal:

Computational and Mathematical Methods in Medicine

Year:

2006

Language:

english

File:

PDF, 163 KB

english, 2006

27

Correlation between Animal and Mathematical Models for Prostate Cancer Progression

Jackiewicz, Z., Jorcyk, C. L., Kolev, M., Zubik-Kowal, B.

Journal:

Computational and Mathematical Methods in Medicine

Year:

2009

Language:

english

File:

PDF, 205 KB

english, 2009

28

Numerical solution of a model for brain cancer progression after therapy

Jackiewicz, Z., Kuang, Y., Thalhauser, C., Zubik-Kowal, B.

Journal:

Mathematical Modelling and Analysis

Year:

2009

Language:

english

File:

PDF, 340 KB

english, 2009

29

The method of lines for parabolic differential-functional equations

Year:

1997

Language:

english

File:

PDF, 726 KB

english, 1997

30

Delay partial differential equations

Zubik-Kowal, Barbara

Journal:

Year:

2008

Language:

english

File:

PDF, 60 KB

english, 2008

31

Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics

Jackiewicz, Z., Zubik-Kowal, B., Basse, B.

Journal:

Mathematical Biosciences and Engineering

Year:

2009

Language:

english

File:

PDF, 290 KB

english, 2009

32

An algorithm for partial functional differential equations modeling tumor growth

Zubik-Kowal, B.

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 720 KB

english, 2018