Publications

• 2023

  VEIGEND, P.; ŠÁTEK, V. Nonlinear Control Using High-Order Integration Method. In 19th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2023. p. 1-4. ISSN: 0094-243X.
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  VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. Taylor Series Method in Numerical Integration: Linear and Nonlinear problems. In 2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings. Poprad: IEEE Communications Society, 2023. p. 239-244. ISBN: 979-8-3503-1034-4.
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• 2022

  NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V. Parallel Solution of Partial Differential Equations Using Taylor Series Method. In 18th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2022. p. 1-4. ISSN: 0094-243X.
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  VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. System control using high order numerical method. In 18th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2022. p. 1-4. ISSN: 0094-243X.
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• 2021

  VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. Taylor Series Based Numerical Integration Method. Open Computer Science, 2021, vol. 11, no. 1, p. 60-69. ISSN: 2299-1093.
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• 2019

  ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G. Taylor Series Based Integration in Electric Circuits Simulations. Advances in Electrical and Electronic Engineering - intenetový časopis (http://advances.utc.sk), 2019, vol. 17, no. 3, p. 352-359. ISSN: 1804-3119.
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  VEIGEND, P.; ŠÁTEK, V. Linear system control using the high order method. In 16th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2019. p. 1-4. ISSN: 0094-243X.
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  VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM. In 2019 IEEE 15th International Scientific Conference on Informatics. Poprad: Institute of Electrical and Electronics Engineers, 2019. p. 25-30. ISBN: 978-1-7281-3179-5.
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• 2018

  VEIGEND, P.; ŠÁTEK, V.; NEČASOVÁ, G. Model of the Telegraph line and its Numerical Solution. Open Computer Science, 2018, vol. 8, no. 1, p. 10-17. ISSN: 2299-1093.
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  VEIGEND, P.; ŠÁTEK, V.; KUNOVSKÝ, J. System Control Using the Modern Taylor Series Method. In 15th International Conference of Numerical Analysis and Applied Mathematics. Thessaloniki: American Institute of Physics, 2018. p. 1-4. ISBN: 978-0-7354-1690-1.
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  VEIGEND, P.; RAFFAI, P.; NEČASOVÁ, G.; ŠÁTEK, V.; KUNOVSKÝ, J. Simulation of the Gas Flow Through the Piston Ring Pack. In 15rd International Conference of Numerical Analysis and Applied Mathematics. Thessaloniki: American Institute of Physics, 2018. p. 1-4. ISBN: 978-0-7354-1690-1.
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  NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V. Modern Taylor series method in numerical integration: PART 2. 17th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi). Horní Lomná: VŠB - Technical University of Ostrava, 2018. p. 211-220. ISBN: 978-80-248-4135-9.
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  ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G. Taylor Series Based Solution of Nonlinear-quadratic ODE Systems. MATHMOD VIENNA 2018 - 9th Vienna International Conference on Mathematical Modelling. Vienna: ARGE Simulation News, 2018. p. 99-100. ISBN: 978-3-901608-91-9.
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• 2017

  KOCINA, F.; NEČASOVÁ, G.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J. Modelling VLSI Circuits Using Taylor Series. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. p. 1-4. ISSN: 0094-243X.
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  CHALOUPKA, J.; NEČASOVÁ, G.; VEIGEND, P.; KUNOVSKÝ, J.; ŠÁTEK, V. Modern Taylor series method in numerical integration: PART 1. 16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi). Rybnik: 2017. p. 263-273. ISBN: 978-83-65265-14-2. ISSN: 2391-9361.
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  NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J. Solving Wave Equation Using Finite Differences and Taylor Series. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. p. 1-4. ISSN: 0094-243X.
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  VEIGEND, P.; NEČASOVÁ, G.; KOCINA, F.; CHALOUPKA, J.; ŠÁTEK, V.; KUNOVSKÝ, J. Real Time Simulation of Transport Delay. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. p. 1-4. ISSN: 0094-243X.
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  CHALOUPKA, J.; KOCINA, F.; VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.; KUNOVSKÝ, J. Multiple Integral Computations. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. p. 1-4. ISSN: 0094-243X.
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  NEČASOVÁ, G.; KOCINA, F.; VEIGEND, P.; ŠÁTEK, V.; KUNOVSKÝ, J. Model of the Telegraph Line. In Informatics 2017 - 14th International Scientific Conference on Informatics. Poprad: Institute of Electrical and Electronics Engineers, 2017. p. 271-275. ISBN: 978-1-5386-0888-3.
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• 2016

  KOCINA, F.; KUNOVSKÝ, J.; NEČASOVÁ, G.; ŠÁTEK, V.; VEIGEND, P. Parallel solution of higher order differential equations. In Proceedings of the 2016 International Conference on High Performance Computing & Simulation (HPCS 2016). Insbruck: Institute of Electrical and Electronics Engineers, 2016. p. 302-309. ISBN: 978-1-5090-2088-1.
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• 2015

  NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; CHALOUPKA, J.; VEIGEND, P. Taylor Series Based Differential Formulas. In MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015. p. 705-706. ISBN: 978-3-901608-46-9.
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  VEIGEND, P.; KUNOVSKÝ, J.; KOCINA, F.; NEČASOVÁ, G.; ŠÁTEK, V.; VALENTA, V. Electronic Representation of Wave Equation. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. p. 1-4. ISBN: 978-0-7354-1392-4. ISSN: 0094-243X.
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  CHALOUPKA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; VEIGEND, P.; MARTINKOVIČOVÁ, A. Numerical Integration of Multiple Integrals Using Taylor's Polynomial. In Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Colmar: SciTePress - Science and Technology Publications, 2015. p. 163-171. ISBN: 978-989-758-120-5.
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  KOCINA, F.; VEIGEND, P.; NEČASOVÁ, G.; KUNOVSKÝ, J. Parallel Computations of Differential Equations. Proceedings of the 10th Doctoral Workshop on Mathematical and Engineering Methods in Computer Science. Telč: Ing. Vladislav Pokorný - Litera, 2015. p. 28-35. ISBN: 978-80-214-5254-1.
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  KUNOVSKÝ, J.; ŠÁTEK, V.; NEČASOVÁ, G.; VEIGEND, P.; KOCINA, F. The Positive Properties of Taylor Series Method. In Proceedings of the 13th International Conference Informatics' 2015. Poprad: Institute of Electrical and Electronics Engineers, 2015. p. 156-160. ISBN: 978-1-4673-9867-1.
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  KOCINA, F.; ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.; VALENTA, V.; KUNOVSKÝ, J. New Trends in Taylor Series Based Applications. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.
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