Publications

• 2024

  REBENDA, J.; PÁTÍKOVÁ, Z.; CHVÁTAL, M.; ROGOVCHENKO, S.; BAKKE, T.; CROFT, T. Capacity Building in Mathematics and Statistics Learning Support in Norway and the Czech Republic (MSLS Net). Greenwich, UK: sigma network, 2024. p. 77-81.
  Detail | WWW | Full text in the Digital Library

  DE KERGORLAY, A.; REBENDA, J.; ROGOVCHENKO, Y. Modeling the spread of computer viruses. In Proceedings I of the 30th Conference STUDENT EEICT 2024. Proceedings II of the Conference STUDENT EEICT. Brno: FEKT VUT, 2024. p. 151-154. ISBN: 978-80-214-6231-1. ISSN: 2788-1334.
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  REBENDA, J.; DE KERGORLAY, A.; ROGOVCHENKO, Y. Model šíření počítačových virů v lokální síti. Sborník z 29. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB-TUO, 2024. p. 122-129. ISBN: 978-80-248-4745-0.
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  FREDRIKSEN, H.; REBENDA, J.; RENSAA, R.; PETTERSEN, P. Inquiry-Based Linear Algebra Teaching and Learning in a Flipped Classroom Framework: A Case Study. Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 2024, vol. 2024, no. 7, p. 1-13. ISSN: 1935-4053.
  Detail | WWW | Full text in the Digital Library

  Christmas, J.; Bergmann, R.; Zhakatayev, A.; Rebenda, J.; Singh, S. Modelling Fire Incidents Response Times in Ålesund. New York, USA: Cornell Tech, 2024. p. 1-38.
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• 2023

  Másilko, L.; Rebenda, J. Vrstevnické hodnocení ve vysokoškolských matematických předmětech. Sborník z 28. semináře Moderní matematické metody v inženýrství. Ostrava: Katedra matematiky a deskriptivní geometrie, VŠB-TUO, 2023. p. 54-65. ISBN: 978-80-248-4681-1.
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  HOLM, K.; REBENDA, J.; ROGOVCHENKO, Y. Impact of Travel on Spread of Infection. In Computational and Mathematical Models in Biology. Nonlinear Systems and Complexity book series, volume 38. Cham, Switzerland: Springer Cham, 2023. p. 183-211. ISBN: 978-3-031-42688-9.
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  REBENDA, J. Mathematics and Statistics Learning Support and the Power of Feedback. Sborník z 28. semináře Moderní matematické metody v inženýrství. Ostrava: Katedra matematiky a deskriptivní geometrie, VŠB-TUO, 2023. p. 106-111. ISBN: 978-80-248-4681-1.
  Detail | WWW

  Christmas, J.; Bergmann, R.; Zhakatayev, A.; Rebenda, J.; Singh, S.; Hömberg, D. ESGI 156 report: Modelling Fire Incidents Response Times in Ålesund. ECMI Annual Report. Delft, the Netherlands: European Consortium for Mathematics in Industry (ECMI), 2023. p. 40-49. ISSN: 2616-7875.
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  Methi, G.; Kumar, A.; Rebenda, J. Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations. Journal of Mathematics and Computer Science-JMCS, 2023, vol. 29 (2023), no. 1, p. 73-89. ISSN: 2008-949X.
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• 2022

  HOLM, K.; RAMO, S.; REBENDA, J.; ROGOVCHENKO, Y. A deterministic model for Atlantic salmon life cycle. International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts. Porto: ISEP Porto, 2022. p. 35-38. ISBN: 978-989-53496-3-0.
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  HOLM, K.; RAMO, S.; REBENDA, J.; ROGOVCHENKO, Y. Impact of travel restrictions on the spread of infection. Porto: ISEP Porto, 2022. p. 31-33.
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  PÁTÍKOVÁ, Z.; REBENDA, J. Applications of the differential transform to second-order half-linear Euler equations. Journal of Computational Science, 2022, vol. 59 (2022), no. 1, p. 1-6. ISSN: 1877-7503.
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• 2021

  REBENDA, J.; PÁTÍKOVÁ, Z.; REBENDOVÁ, G.; SEDLÁKOVÁ, E.; DEMCHENKO, H. Development of a Community of Inquiry Based on Reflective Teaching. In Inquiry in University Mathematics Teaching and Learning. The Platinum Project. Brno: MUNIPress, 2021. p. 307-326. ISBN: 978-80-210-9983-8.
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  ROGOVCHENKO, Y.; REBENDA, J. Origins and Implementation of the Project. In Inquiry in University Mathematics Teaching and Learning. The Platinum Project. Brno: MUNIPress, 2021. p. 73-92. ISBN: 978-80-210-9983-8.
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  ROGOVCHENKO, Y.; ASTAFIEVA, M.; HERNANDEZ-MARTINEZ, P.; LYTVYN, O.; MORZE, N.; PÁTÍKOVÁ, Z.; REBENDA, J.; ROGOVCHENKO, S. Mathematical Modelling and Inquiry-Based Mathematics Education. In Inquiry in University Mathematics Teaching and Learning. The Platinum Project. Brno: MUNIPress, 2021. p. 147-170. ISBN: 978-80-210-9983-8.
  Detail | WWW

  Gómez-Chacón, I.; Hochmuth, R.; Jaworski, B.; Rebenda, J.; Ruge, J.; Thomas, S. Inquiry in University Mathematics Teaching and Learning. The PLATINUM Project. Brno: MUNIPress, 2021. 370 p. ISBN: 978-8-0210-9983-8.
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• 2020

  REBENDA, J.; PÁTÍKOVÁ, Z. Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays. COMPLEXITY, 2020, vol. 2020, no. 1, p. 1-12. ISSN: 1076-2787.
  Detail | WWW | Full text in the Digital Library

  REBENDA, J. Applications of differential transform to boundary value problems for delayed differential equations. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019). AIP conference proceedings. Melville (USA): American Institute of Physics, 2020. p. 340011-1 (340011-4 p.)ISBN: 978-0-7354-4025-8. ISSN: 0094-243X.
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• 2019

  REBENDA, J. Application of Differential Transform to Multi-Term Fractional Differential Equations with Non-Commensurate Orders. Symmetry, 2019, vol. 11, no. 11, p. 1-10. ISSN: 2073-8994.
  Detail | WWW | Full text in the Digital Library

  REBENDA, J.; ŠMARDA, Z. Solutions to delayed fractional differential equations of second order. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. p. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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  REBENDA, J.; ŠMARDA, Z. Numerical algorithm for nonlinear delayed differential systems of nth order. Advances in Difference Equations, 2019, vol. 2019, no. 26, p. 1-13. ISSN: 1687-1847.
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  REBENDA, J.; ŠMARDA, Z. Application of differential transform to two-term fractional differential equations with noncommensurate orders. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. p. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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  REBENDA, J.; ŠMARDA, Z. Boundary value problem for elliptic equations, a differential transformation approach. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. p. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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• 2018

  REBENDA, J. An application of Bell polynomials in numerical solving of nonlinear differential equations. In 17th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2018 PROCEEDINGS. Bratislava: Spektrum STU, 2018. p. 891-900. ISBN: 978-80-227-4765-3.
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  REBENDA, J.; ŠMARDA, Z. A numerical approach for solving of fractional Emden-Fowler type equations. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. AIP conference proceedings. 2018. p. 1-4. ISBN: 9780735416901. ISSN: 0094-243X.
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• 2017

  REBENDA, J.; ŠMARDA, Z. A differential transformation approach for solving functional differential equations with multiple delays. Communications in Nonlinear Science and Numerical Simulation, 2017, vol. 48, no. 2017, p. 246-257. ISSN: 1007-5704.
  Detail

  REBENDA, J.; ŠMARDA, Z. Numerical Solution of Fractional Control Problems via Fractional Differential Transformation. In Proceedings of European Conference on Electrical Engineering and Computer Science 2017. 2017. p. 107-111. ISBN: 978-1-5386-2085-4.
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  REBENDA, J.; ŠMARDA, Z.; KHAN, Y. A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay. Filomat, 2017, vol. 31, no. 15, p. 4725-4733. ISSN: 0354-5180.
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  REBENDA, J.; ŠMARDA, Z. A semi-analytical approach for solving nonlinear systems of functional differential equations with delay. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016). AIP conference proceedings. USA: 2017. p. 1-4. ISBN: 978-0-7354-1538-6. ISSN: 0094-243X.
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• 2015

  ŠMARDA, Z.; FUSEK, M.; REBENDA, J. Differential transformation method. 2015.
  Detail

  REBENDA, J.; ŠMARDA, Z. Existence of solutions converging to zero for nonlinear delayed differential systems. Advances in Difference Equations, 2015, vol. 2015, no. 1, p. 1-10. ISSN: 1687-1847.
  Detail | WWW | Full text in the Digital Library

  REBENDA, J.; ŠMARDA, Z. A New Iterative Method for Linear and Nonlinear Partial Differential Equations. AIP conference proceedings, 2015, vol. 2015, no. 1648, p. 1-4. ISSN: 0094-243X.
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  REBENDA, J.; ŠMARDA, Z. Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations. Computers and Mathematics with Applications, 2015, vol. 2015 (70), no. 8, p. 1772-1780. ISSN: 0898- 1221.
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  ŠMARDA, Z.; FUSEK, M.; REBENDA, J. Semianalytické numerické metody. 2015.
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• 2013

  REBENDA, J.; ŠMARDA, Z. Stability and asymptotic properties of a system of functional differential equations with nonconstant delays. APPLIED MATHEMATICS AND COMPUTATION, 2013, vol. 219, no. 12, p. 6622-6632. ISSN: 0096- 3003.
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  REBENDA, J.; ŠMARDA, Z. Comparison of differential transformation method with Adomian decomposition method for functional differential equations with proportional delays. In 11th International Conference on Numerical Analysis and Applied Mathematics: ICNAAM 2013. AIP conference proceedings. 2013. p. 1190-1193. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X.
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  DIBLÍK, J.; REBENDA, J.; ŠMARDA, Z. Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations. Abstract and Applied Analysis, 2013, vol. 2013, no. 1, p. 1-12. ISSN: 1085-3375.
  Detail | WWW | Full text in the Digital Library

  REBENDA, J.; ŠMARDA, Z. Stability of a Functional Differential System with a Finite Number of Delays. Abstract and Applied Analysis, 2013, vol. 2013, no. Article ID 85313, p. 1-11. ISSN: 1085- 3375.
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• 2012

  ŠMARDA, Z.; REBENDA, J. Asymptotic Behaviour of a Two- Dimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability. Abstract and Applied Analysis, 2012, vol. 2012, no. Article ID 95260, p. 1-20. ISSN: 1085- 3375.
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