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Dr. Barbara Zubik-Kowal

Professor
Department of Mathematics
Boise State University
Boise, ID 83725
USA

Email: bzubik [at] boisestate [dot] edu
Phone: (208) 426-2802
Office: MB-241B

Editorial: Scholarpedia

Delay Partial Differential Equations

Research and Academic Profile

Research Interests

  • Numerical and theoretical analysis for the following classes of differential equations:
    • ordinary differential equations
    • partial differential equations
    • delay differential equations
    • Volterra integro-differential equations
    • functional differential equations
  • Applications in medicine, biology, neuroscience, population dynamics, electromagnetics and fluid mechanics
  • Mathematical modeling
  • Stability
  • Well-posedness
  • Implementation of numerical methods
  • Development of numerical software

Biography

Faculty Positions

  • Professor, Department of Mathematics, Boise State University, USA, 2010 – present
  • Associate Professor, Department of Mathematics, Boise State University, USA, 2006 – 2010
  • Assistant Professor, Department of Mathematics, Boise State University, USA, 2002 – 2006
  • Visiting Assistant Professor, Department of Mathematics and Statistics, Arizona State University, USA, 2001 – 2002
  • Assistant Professor, Department of Mathematics, University of Gdansk, Poland, 1996 -1997 & 2000 – 2001
  • Lecturer, Department of Mathematics, University of Gdansk, Poland, 1990 -1996

Post-doctoral Fellowship Positions

  • United Kingdom, 1999 – 2000
    University of Strathclyde, Department of Mathematics
  • The Netherlands, 1998 – 1999
    Leiden University, Department of Mathematics
  • Belgium, 1997 – 1998
    Katholieke Universiteit Leuven, Department of Computer Sciences

University Diplomas

  • Ph.D., Poland, Adam Mickiewicz University, Faculty of Mathematics and Computer Science, 1996.
  • M.Sc., Poland, University of Gdansk, Institute of Mathematics, 1990.

Selected Publications

  • Zubik-Kowal, B., An algorithm for partial functional differential equations modeling tumor growth, Appl. Math. Comput. 321 (2018), 85–92.
  • Kolev, M., Nawrocki, S. and Zubik-Kowal, B., Numerical simulations for tumor and cellular immune system interactions in lung cancer treatment, Commun. Nonlinear Sci. Numer. Simul. Vol. 18, Issue 6, (2013) pages 1473–1480.
  • Drucis, K., Kolev, M., Majda, W. and Zubik-Kowal, B., Nonlinear modeling with mammographic evidence of carcinoma, Elsevier, Nonlinear Analysis: Real World Applications, 11 (2010) pages 4326-4334.
  • Hoppensteadt, F. C., Jackiewicz, Z. and Zubik-Kowal, B., Numerical Solution of Volterra Integral and Integro-Differential Equations with Rapidly Vanishing Convolution Kernels, BIT Numerical Mathematics, 47 (2007), no. 2, 325–350.
  • Davies, P. J. and Zubik-Kowal, B., Numerical approximation of time-domain electromagnetic scattering, Numer. Algorithms, 30 (2002), 25-36.

International & Invited Talks

  • Poland, Zakopane, September 1993, International Conference on Applied Mathematics.
  • Poland, Zakopane, September 1994, International Conference on Applied Mathematics.
  • Hungary, Veszprem, August 1995, 2nd International Conference on Difference Equations.
  • USA, Arizona State University, Tempe, May 1996, 2nd International Conference on the Numerical Solution of Volterra and Delay Equations.
  • United Kingdom, Dundee, June 1997, 17th Biennial Conference on Numerical Analysis.
  • Italy, Grado, September 1997, International Conference on Scientific Computation and Differential Equations, SciCADE97.
  • New Zealand, Auckland, July 1998, Auckland Numerical Ordinary Differential Equations ANODE98.
  • The Netherlands, Utrecht, April 1999, Het 34e Nederlands Mathematisch Congres.
  • Australia, Queensland, Fraser Island, August 1999, International Conference on Scientific Computation and Differential Equations, SciCADE99.
  • United Kingdom, Bath, September 2000, 2nd International Conference on Boundary Integral Methods.
  • Canada, Vancouver, British Columbia, August 2001, International Conference on Scientific Computation and Differential Equations, SciCADE01.
  • Norway, Trondheim, June 2003, International Conference on Scientific Computation and Differential Equations, SciCADE03.
  • USA, Arizona State University, Tempe, May 2004, 3rd International Conference on the Numerical Solution of Volterra and Delay Equations.
  • Poland, Krakow, June 2004, International Conference on Computational Science, ICCS04.
  • Japan, Nagoya, May 2005, International Conference on Scientific Computation and Differential Equations, SciCADE05.
  • Poland, Gdansk, June 2005, International Conference on Differential-Functional Equations, DFE05.
  • Romania, Cluj-Napoka, July 2006, International Conference on Numerical Analysis and Approximation Theory, NAAT06.
  • Switzerland, Zurich, July 2007, 6th International Congress on Industrial and Applied Mathematics, ICIAM07.
  • Belgium, Gent, July 2008, 13th International Congress on Computational and Applied Mathematics, ICCAM08.
  • China, Beijing, May 2009, International Conference on Scientific Computation and Differential Equations, SciCADE09.
  • Poland, Warsaw, June 2009, International Workshop on Mathematical and Computational Approaches in Biology and Medicine.
  • United Kingdom, University of Brighton, July 2010, The Eleventh International Conference on Integral Methods in Science and Engineering, IMSE2010.
  • USA, University of Iowa, March 2011, VIGRE Workshop on Numerical Analysis and Scientific Computing.
  • USA, University of Iowa, March 2011, AMS Meeting, Special Session on Numerical Analysis and Scientific Computing.
  • Canada, Vancouver, British Columbia, July 2011, 7th International Congress on Industrial and Applied Mathematics, ICIAM11.
  • Italy, Cortona, Arezzo, June 2012, Recent trends in delay differential equations: models, theory and numerics, DDE2012.
  • Hungary, Balatonfured, July 2013, International Conference on Delay Differential and Difference Equations and Applications, DDDEA2013.
  • Germany, Karlsruhe, July 2014, The Thirteenth International Conference on Integral Methods in Science and Engineering, IMSE2014.
  • France, Lyon, July 2015, International Conference on Differential Equations, EquaDiff2015.
  • Czech Republic, Pilsen, June 2016, The 5th International Congress of Computational Engineering and Sciences, ESCO 2016.
  • Italy, Padova, July 2016, The Fourteenth International Conference on Integral Methods in Science and Engineering, IMSE2016.
  • Slovakia, Bratislava, July 2017, EquaDiff2017, International Conference on Differential Equations.
  • United Kingdom, University of Brighton, July 2018, The Fifteenth International Conference on Integral Methods in Science and Engineering, IMSE2018.
  • Spain, Rota, Cadiz, July 2019, The Nineteenth International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2019.

Reviewing

Book publishers

• Springer, Heidelberg • Elsevier Science/ Academic Press • Chapman & Hall/ CRC • Pearson • Birkhauser • Springer • SIAM, Society for Industrial and Applied Mathematics  • Elsevier • World Scientific Publishing Co. Pte. Ltd., Hackensack • John Wiley & Sons, Inc. • Springer Nature

Scientific journals

• Journal of Computational and Applied Mathematics • SIAM Review, Education section • SIAM Journal on Numerical Analysis • SIAM Journal on Scientific Computing • MathSciNet Mathematical Reviews • IMA Journal of Numerical Analysis • Numerical Algorithms • Applied Mathematics Letters • Mathematics and Computers in Simulation • Mathematical Biosciences and Engineering • Nonlinear Analysis Series B: Real World Applications • IMACS Journal of Applied Numerical Mathematics • PLOS ONE • American Institute of Physics (AIP) Conference Series, Numerical Analysis & Applied Math • Advances in Computational Mathematics • Mathematical and Computer Modelling • Applicable Analysis • Soochow Journal of Mathematics • Annales Polonici Mathematici • Mathematical Modelling and Analysis • Neural Computing and Applications • Computational and Structural Biotechnology Journal • Computing • Computers and Mathematics with Applications • Communications in Nonlinear Science and Numerical Simulations • Journal of Mathematical Analysis and Applications • Journal of Applied Analysis • International Journal of Mathematics and Mathematical Sciences • Applied Mathematics and Computation • Applied Mathematical Modelling • Numerische Mathematik