Aliona Dreglea graduated from Tiraspol State University in 1999 with Specialist Degree in Applied Mathematics. She gained her MSc Degree in Topological Algebra from Oradea University (Romania) in 2000 under supervision of Prof. M.I. Ursul. Her work has been supported with Klüber Lubrication and DIT scholarship while her research stay with Dublin Institute of Technology (Ireland) in 2001–2005. She is associated with Irkutsk State University (Russia) since 2005 and with Irkutsk National Research Technical University since 2018.
Main publications:
Dreglea A. I., “Some analytical and exact solutions of the systems of in the theory of polymers modeling”, Siberian Journal of Industrial Mathematics, 11:3 (2008), 61-70
Äðåãëÿ À. È., “Application of the Seban and Bond Transform and the Cauchy
– Kovalevskaya Theorem for one Boundary Layer Problem for
Navier – Stocks Equations”, Izv. ISU. Ser. mathematics, 5:3 (2012), 32-40
D. Sidorov, I. Muftahov, D. Karamov, N. Tomin, D. Panasetsky, A. Dreglea, F. Liu, A. Foley,, “A Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations”, IEEE Transactions on Industrial Informatics, 16:5, Date of Publication: 01 August 2019 (2020), 3451 - 3459ieee access
S. Noeiaghdam, A. Dreglea, J. He, Z. Avazzadeh, M. Suleman, M.A.F. Araghi, D.N. Sidorov, N.A. Sidorov,, “Error estimation of the homotopy perturbation method to solve second kind Volterra integral equations with piecewise smooth kernels: Application of the CADNA library”, Symmetry, 12:10 (2020), 1730 , 16 pp.
F. Liu, R. Li, A. Dreglea, “Wind Speed and Power Ultra Short-Term Robust Forecasting Based on Takagi–Sugeno Fuzzy Model”, Energies, 3551:12 (2019), 3551 (Published online) , 18 pp. open access
D. Sidorov, D. Panasetsky, N. Tomin, D. Karamov, A. Zhukov, I. Muftahov, A. Dreglea, F. Liu, Y. Li, “Toward Zero-Emission Hybrid AC/DC Power Systems with Renewable Energy Sources and Storages: A Case Study from Lake Baikal Region”, Energies, 13:5 (2020), 226 (Published online) , 18 pp. 1996-1073/13/5/1226
D. Sidorov, Q. Tao, I. Muftahov, A. Zhukov, D. Karamov, A. Dreglea and F. Liu,, “Energy balancing using charge/discharge storages control and load forecasts in a renewable-energy-based grids”, Proc. of 38th China Control Conference (July 27-30, 2019, Guangzhou, China), IEEE, 2019, 1-6 (Published online) ieee access
N. A. Sidorov, R. Yu. Leontiev, A. Dreglea, “On Small Solutions of Nonlinear Equations with Vector Parameter in Sectorial Neighborhoods”, Math. Notes, 91:1 (2012), 90–104
8.
Noeiaghdam, S.; Dreglea, A.; Iş{\i}k, H.; Suleman, M. A, “A Comparative Study between Discrete Stochastic Arithmetic and Floating-Point Arithmetic to Validate the Results of Fractional Order Model of Malaria Infection”, MDPI, 9:12, Mathematics (2021), 1435 (Published online) , 12 pp. https://www.mdpi.com/2227-7390/9/12/1435
D. Sidorov, A. Tynda, I. Muftahov, A. Dreglea, F. Liu, “Nonlinear Systems of Volterra Equations with Piecewise Smooth Kernels: Numerical Solution and Application for Power Systems Operation”, Mathematics, 8:8, 1257 (2020), 1–16
Balasundaram, H.; Sathiamoorthy, S.; Santra, S.S.; Ali, R.; Govindan, V.; Dreglea, A.; Noeiaghdam, S, “Effect of Ventricular Elasticity Due to Congenital Hydrocephalus”, MDPI, 13, symmetry:11, This article belongs to the Special Issue Theory and Applications of Nonlinear Equations with Parameters: Branching, Regularization, Group Symmetry and Solutions Blow-Up (2021), 2087 (Published online) , 12 pp. https://www.mdpi.com/2073-8994/13/11/2087
D. Raveendhra, R Poojitha, B. L. Narasimharaju, A. Dreglea, F. Liu et al, “Part-I: State-of-the-Art Technologies of Solar Powered DC Microgrid with Hybrid Energy Storage Systems-Architecture Topologies”, Energies, 16:2 (2023), 923
A. I. Dreglea, N. A. Sidorov, “Integral equations in identification of external force and heat source density dynamics”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 3, 68–77
A. I. Dreglya, Sib. Zh. Ind. Mat., 11:3 (2008), 61–70
14.
N. A. Sidorov, D. N. Sidorov, A. I. Dreglea, “Solvability and Bifurcation of Solutions of Nonlinear Equations with Fredholm Operator”, Symmetry, 12:6 (2020), 12060912 (Published online) , 18 pp.
N. A. Sidorov, A. I. Dreglya, “Differentsialnye uravneniya v banakhovykh prostranstvakh s neobratimym operatorom v glavnoi chasti i neoklassicheskimi nachalnymi usloviyami”, Itogi nauki i tekhniki. Sovremennaya matematika i ee prilozheniya, 2020, 1–11 (to appear)
S. Noeiaghdam, D. Sidorov, A. Dreglea, “A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel”, Applied Numerical Mathematics, 186 (2023), 202–212
S. Lin, F. Liu and A. Dreglea, “Mode Identification of Broad-band Oscillation Signal Based on Improved VMD Method”, 2020 39th Chinese Control Conference (CCC) (Shenyang, China, 27-29 July 2020), IEEE Computer Society, 2020, 6162 – 6167
N. A. Sidorov, A. I. Dreglea, “Differential equations in Banach spaces with an irreversible operator in the principal part and nonclassical initial conditions”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 183, VINITI, Moscow, 2020, 120–129
20.
N. A. Sidorov, A. I. Dreglea, “Differential Equations in Banach Spaces with an Noninvertible Operator in the Principal Part and Nonclassical Initial Conditions”, Journal of Mathematical Sciences (United States), 279:5 (2024), 691–700
21.
A. Domyshev, E. Chistyakova, A. Dreglea, D. Sidorov, F. Liu, DC-DC Converters Optimization in Case of Large Variation in the Load, Preprint No. arXiv 2408.06045 [eess.SY], arXiv, Cornell, 2024 , 5 pp.
22.
Y. Luo, L. Wang, D. Sidorov, A. Dreglea, E. Chistyakova, “An Approach to Estimate the Temperature of an Induction Motor under Nonlinear Parameter Perturbations Using a Data-Driven Digital Twin Technique”, Energies, 2024, 1265 (to appear)
23.
D. Wang, Sh. Yang, K.-X. Guo, Y.-Y. Zhu, J. Sun, A. Dreglea, Y.-H. Gao, J. Yu, “Computer-aided recognition and assessment of a porous bioelastomer in ultrasound images for regenerative medicine applications”, Medicine in Novel Technology and Devices, 19 (2023), 100248
24.
Yu. Kozlov, M. Mochalov, S. Poloyan, A. Dreglea, A. Narkevich et al, “Development of a predictive model for choosing the method of intestinal anastomosis in children with the best predictive power baed on ROC-AUC”, Pediatriya - Zhurnal im G.N. Speranskogo, 101:1 (2022), 91–98
25.
Sidorov, N.A.; Dreglea, A.I.; Sidorov, D.N, “Generalisation of the Frobenius Formula in the Theory of Block Operators on Normed Spaces.”, Mathematics, MDPI, 9:23 (2021), 3066 (Published online) , 9 pp. https://www.mdpi.com/2227-7390/9/23/3066
26.
A.Dreglea, N. Sidorov, D. Sidorov, “Construirea solutiilor ecuatiilor integrale cu functionale Stieltjes si parametri de bifurcatie”, Acta et commentationes, 2021, Ştiinţe Exacte și ale Naturii, 1212 , 6 pp. ;
27.
H.T. Nguyen, L.T. Nguyen, A.I. Dreglea, “Robust approach to detection of bubbles based on image analysis”, International Journal of Artificial Intelligence, 2018, 167-177 (Published online) access
28.
A. I. Dreglea, N. A. Sidorov, “The identification of external force dynamics in the modeling of vibration”, IIGU Ser. Matematika, 19 (2017), 105–112
29.
I.R. Muftakhov, D.N. Sidorov, A.I. Dreglya, “O roli uravnenii Volterra v obratnoi zadache teploprovodnosti s nelokalnym granichnym usloviem”, Matematicheskoe i kompyuternoe modelirovanie estestvenno-nauchnykh i sotsialnykh problem materialy XI Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii molodykh spetsialistov, aspirantov i studentov., eds. prof. I. V. Boikov, PGU, 2016, 15–19
30.
A.I. Dreglya, N.A. Sidorov, “Identifikatsiya dinamiki izmeneniya vneshnei sily pri modelirovanii kolebanii struny s zakreplennymi kontsami”, Analiticheskie i chislennye metody modelirovaniya estestvenno-nauchnykh i sotsialnykh problem. Materialy XI mezhdunarodnoi nauchno-tekhnicheskoi konferentsii (Penza, 6-9 dekabrya 2016 g), Penzenskii gosuniversitet, 2016, 125–129
31.
M.E. Smerdova, A.I. Dreglya, “Statisticheskii analiz i teoriya igr v odnoi zadache politologii”, Analiticheskie i chislennye metody modelirovaniya estestvenno-nauchnykh i sotsialnykh problem. Materialy X mezhdunarodnoi nauchno-tekhnicheskoi konferentsii (Penza, 28–30 oktyabrya 2015 g.), eds. prof. I. V. Boikov, PGU, 2015, 95–98
32.
Aliona Dreglea, “Application of the Seban and Bond Transform and the Cauchy–Kovalevskaya Theorem for one Boundary Layer Problem for Navier–Stocks Equations”, IIGU Ser. Matematika, 5:3 (2012), 32–40
33.
A. Dreglya, Kraevye zadachi v modelirovanii formovaniya volokon analiticheskie i chislennye metody, Lambert Academic Publishing GmbH & Co. KG, 2012 , 110 pp.
A. Dreglea, D. Sidorov, “Melt spinning process modelling: existence of nonlinear PDE systems analytical solutions”, Thermal Processes in Engineering, 11 (2009), 500-512
36.
A.I. Dreglea, G.I Shishkin, “Robust numerical method for a singularly perturbed equation with unboundedly growing convective term at infinity”, Proc. of the International Conference on Computational Mathematics ICCM-2004 (Novosibirsk, 21–25 June 2004), Inst. of comp. maths and math geophysics SB RAS, 2004, 34-35abstract
37.
A.I. Dreglea, G.I Shishkin, “Robust numerical method based on Blasius approach for flow past a flat plate in the case of heat transfer for large Reynolds numbers”, Proc. of CMAM-1, Inst. of Maths BAS, 2003, 19–20
38.
A.I. Dreglea, G.I Shishkin, “Numerical method based on Blasius approach for a flow past flat plate for large Reinolds numbers”, Proc. of Irish Soc. Sci. and Eng. Comput.: Ann. Symp. Irish Soc. Sci. and Eng. Comput. Publ. (Belfield, Dublin), Irish Soc. Sci. and Eng. Comput. Publ., 2003, 14
39.
A. Dreglea, B. Redmond, “Heat transfer from a stationary glass fibre which is being cooled by water sprays”, Proc. of Annual Scientific Conference GAMM2003 (Abano Terme – Padua, Italy), GAMM, 2003, 23–24
40.
A. Dreglea, M.I Ursul, “On Rings and Modules of Endomorphisms”, 7th Conference on Applied and Industrial Mathematics (CAIM99) (Pitesti, Romaina, October 15–17 1999), Univ. of Pitesti, 1999, 34
41.
M. V. Falaleev, O. A. Romanova, A. V. Sinitsyn, A. I. Dreglea, R. Yu. Leont'ev, D. N. Sidorov, “On the occasion of the 80th birthday of professor N. A. Sidorov”, The Bulletin of Irkutsk State University. Series Mathematics, 32 (2020), 134–143
42.
A. I. Dreglea, V. K. Gorbunov, A. V. Keller, V. V. Pukhnachev, R. Ju. Leontiev, O. A. Romanova, D. N. Sidorov, V. S. Sizikov, G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Nikolai Aleksandrovich Sidorov (on 80th birthday)”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 13:4 (2020), 119–121
43.
N. A. Sidorov, O. A. Romanova, M. V. Falaleev, D. N. Sidorov, V. K. Gorbunov, A. I. Dreglea, “In the memory of professor Boris Vladimirovich Loginov”, IIGU Ser. Matematika, 23 (2018), 96–99
44.
B. V. Loginov, V. V. Pukhnachev, G. A. Sviridyuk, A. V. Keller, S. A. Zagrebina, O. A. Romanova, D. N. Sidorov, A. Dreglea, R. Yu. Leontiev, “Nikolay Aleksandrovich Sidorov (to the 75th Anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 143–148