Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 451-03-68/2020-14/200122 (University of Kragujevac, Faculty of Science)

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Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 451-03-68/2020-14/200122 (University of Kragujevac, Faculty of Science) (en)
Ministarstvo prosvete, nauke i tehnološkog razvoja Republike Srbije, Ugovor br. 451-03-68/2020-14/200122 (Univerzitet u Kragujevcu, Prirodno-matematički fakultet) (sr_RS)
Министарство просвете, науке и технолошког развоја Републике Србије, Уговор бр. 451-03-68/2020-14/200122 (Универзитет у Крагујевцу, Природно-математички факултет) (sr)
Authors

Publications

Various Series Related to the Polylogarithmic Function

Stojiljković, Vuk; Fabiano, Nicola; Pantović, Mirjana; Radojević, Slobodan; Radenović, Stojan; Šešum-Čavić, Vesna

(MDPI, 2022)

TY  - JOUR
AU  - Stojiljković, Vuk
AU  - Fabiano, Nicola
AU  - Pantović, Mirjana
AU  - Radojević, Slobodan
AU  - Radenović, Stojan
AU  - Šešum-Čavić, Vesna
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3322
AB  - We derive some series related to the polylogarithmic function, and we also give a new proof
to the existing series. Our approach is based on using the summation and integral representation
methods. We obtain various interesting series as a consequence
PB  - MDPI
T2  - Axioms
T1  - Various Series Related to the Polylogarithmic Function
IS  - 4
VL  - 11
DO  - 10.3390/axioms11040174
ER  - 
@article{
author = "Stojiljković, Vuk and Fabiano, Nicola and Pantović, Mirjana and Radojević, Slobodan and Radenović, Stojan and Šešum-Čavić, Vesna",
year = "2022",
abstract = "We derive some series related to the polylogarithmic function, and we also give a new proof
to the existing series. Our approach is based on using the summation and integral representation
methods. We obtain various interesting series as a consequence",
publisher = "MDPI",
journal = "Axioms",
title = "Various Series Related to the Polylogarithmic Function",
number = "4",
volume = "11",
doi = "10.3390/axioms11040174"
}
Stojiljković, V., Fabiano, N., Pantović, M., Radojević, S., Radenović, S.,& Šešum-Čavić, V.. (2022). Various Series Related to the Polylogarithmic Function. in Axioms
MDPI., 11(4).
https://doi.org/10.3390/axioms11040174
Stojiljković V, Fabiano N, Pantović M, Radojević S, Radenović S, Šešum-Čavić V. Various Series Related to the Polylogarithmic Function. in Axioms. 2022;11(4).
doi:10.3390/axioms11040174 .
Stojiljković, Vuk, Fabiano, Nicola, Pantović, Mirjana, Radojević, Slobodan, Radenović, Stojan, Šešum-Čavić, Vesna, "Various Series Related to the Polylogarithmic Function" in Axioms, 11, no. 4 (2022),
https://doi.org/10.3390/axioms11040174 . .
2
1

Physics informed neural networks for 1D flood routing

Bojović, Filip; Milašinović, Miloš; Jovanović, Branka; Krstić, Lazar; Stojanović, Boban; Ivanović, Miloš; Prodanović, Dušan; Milivojević, Nikola

(2022)

TY  - CONF
AU  - Bojović, Filip
AU  - Milašinović, Miloš
AU  - Jovanović, Branka
AU  - Krstić, Lazar
AU  - Stojanović, Boban
AU  - Ivanović, Miloš
AU  - Prodanović, Dušan
AU  - Milivojević, Nikola
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2771
AB  - Machine learning methods have been widely and successfully applied in hydrological problems. Most of the methods, such as artificial neural networks, have been focused on estimating hydrological data based on observation over time. Even though these models provide good results, it can be observed that results become unreliable when the training dataset is small or when input data is significantly out of range compared to the training data. Therefore, a new approach is presented, in which artificial neural networks are trained to satisfy physical laws. This is conducted by a novel method called physics-informed neural networks (PINNs), in which physical principles are embedded in a custom loss function. This paper presents the application of physics informed neural networks for solving 1D flood wave propagation in open channels. The research has shown promising results.
C3  - 1st Serbian International Conference on Applied Artificial Intelligence (SICAAI)
T1  - Physics informed neural networks for 1D flood routing
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2771
ER  - 
@conference{
author = "Bojović, Filip and Milašinović, Miloš and Jovanović, Branka and Krstić, Lazar and Stojanović, Boban and Ivanović, Miloš and Prodanović, Dušan and Milivojević, Nikola",
year = "2022",
abstract = "Machine learning methods have been widely and successfully applied in hydrological problems. Most of the methods, such as artificial neural networks, have been focused on estimating hydrological data based on observation over time. Even though these models provide good results, it can be observed that results become unreliable when the training dataset is small or when input data is significantly out of range compared to the training data. Therefore, a new approach is presented, in which artificial neural networks are trained to satisfy physical laws. This is conducted by a novel method called physics-informed neural networks (PINNs), in which physical principles are embedded in a custom loss function. This paper presents the application of physics informed neural networks for solving 1D flood wave propagation in open channels. The research has shown promising results.",
journal = "1st Serbian International Conference on Applied Artificial Intelligence (SICAAI)",
title = "Physics informed neural networks for 1D flood routing",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2771"
}
Bojović, F., Milašinović, M., Jovanović, B., Krstić, L., Stojanović, B., Ivanović, M., Prodanović, D.,& Milivojević, N.. (2022). Physics informed neural networks for 1D flood routing. in 1st Serbian International Conference on Applied Artificial Intelligence (SICAAI).
https://hdl.handle.net/21.15107/rcub_grafar_2771
Bojović F, Milašinović M, Jovanović B, Krstić L, Stojanović B, Ivanović M, Prodanović D, Milivojević N. Physics informed neural networks for 1D flood routing. in 1st Serbian International Conference on Applied Artificial Intelligence (SICAAI). 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_2771 .
Bojović, Filip, Milašinović, Miloš, Jovanović, Branka, Krstić, Lazar, Stojanović, Boban, Ivanović, Miloš, Prodanović, Dušan, Milivojević, Nikola, "Physics informed neural networks for 1D flood routing" in 1st Serbian International Conference on Applied Artificial Intelligence (SICAAI) (2022),
https://hdl.handle.net/21.15107/rcub_grafar_2771 .