Publications

• 2024

  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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  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. 17.7.2024, p. 1-13. ISSN: 1935-4053.
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  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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• 2023

  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.
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  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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  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

  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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  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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• 2021

  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.
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  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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  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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  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.
  Detail | WWW

• 2020

  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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  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

• 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.; 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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  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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• 2017

  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 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.
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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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  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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• 2015

  ŠMARDA, Z.; FUSEK, M.; REBENDA, J. Differential transformation method. 2015.
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  ŠMARDA, Z.; FUSEK, M.; REBENDA, J. Semianalytické numerické metody. 2015.
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  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. 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. 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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• 2013

  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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  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. 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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  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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• 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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