**Institute annual report 2022**

version of January 26, 2023.

version of January 26, 2023.

The Numerical Analysis and Approximation Theory workgroup:

- Prof. Dr. Radu
**Precup**, corresponding member of the Romanian Academy - Dr. Emil
**Cătinaş**(workgroup coordinator) - Prof. Dr. Octavian
**Agratini** - Dr. Diana
**Otrocol** - Dr. Mihai
**Nechita** - Imre
**Boros** - Andrei
**Stan** - Andra
**Malina**

The Numerical Modeling workgroup:

- Dr. Călin-Ioan
**Gheorghiu**(workgroup coordinator) - Dr. rer. nat. habil. Nicolae
**Suciu** - Dr. Maria
**Crăciun** - Iulia
**Buda** - Eduard
**Grigoriciuc**

Doctoral students in 2022:

Postdoc students in 2022:

- Dr. Mihai
**Nechita**

**Prof. dr.**** Radu Precup****, **corresponding member of the Romanian Academy

*PhD students (2022): *

- Andrei Stan (Nash type equilibria for systems of nonlinear equations);
- Alexandru Hofman (Control problems for systems of Kolmogorov type);
- Alexandru Orzan (Parametric methods for problems of fractional optimization);
- David Brumar (The analysis of some mathematical models in fluid dynamics).

*Coordination of doc and postdoc students (2022): *Nataliia Kolun (Ukraine), Sylvain Koumla (Chad, 2 months).

*Mentor in some research projects:* Lorand Parajdi, Nataliia Kolun.

**Prof. Univ. dr. Octavian Agratini
**

- Imre Boros (Numerical methods for partial differential equations)

**Dr. rer. nat. habil. Nicolae Suciu**

**Prof. Univ. dr. Ion Păvăloiu **(honorary member of ICTP)

- –

- N. Suciu, F.A. Radu,
*Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media,*Adv. Water Res., 166 (2022), art. id. 104268, https://doi.org/10.1016/j.advwatres.2022.104268 (Impact Factor 2021:**IF 5. 361**, Scor Relativ de Influenta 2021:**SRI 2.229**) - E. Burman, M. Nechita, L. Oksanen,
*A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime*, Numer. Math. 150 (2022), pp. 769-801, https://doi.org/10.1007/s00211-022-01268-1. (**IF 2.500, SRI 2.329**) - R. Precup, A. Stan,
*Stationary Kirchhoff equations and systems with reaction terms*, AIMS Mathematics, 7 (2022) no. 8, pp. 15258-15281. doi: 10.3934/math.2022836 (**IF 2.739, SRI 0.738**) - J. Rodriguez-Lopez, R. Precup, C.-I. Gheorghiu,
*On the localization and numerical computation of positive radial solutions for φ-Laplace equations in the annulus*, Electronic Journal of Qualitative Theory of Differential Equations, 2022, no. 47, pp. 1-22, doi.org/10.14232/ejqtde.2022.1.47 (IF 1.316, SRI 0.600) - Al. Hofman, R. Precup,
*On some control problems for Kolmogorov type systems*, Mathematical Modelling and Control, 2 (2022) no. 3, pp. 90-99, http://doi.org/10.3934/mmc.2022011 (ESCI, according the the journal website) - R. Precup,
*On some applications of the controllability principle for fixed point equations*, Results Appl. Math., 13 (2022), art. no. 100236, https://doi.org/10.1016/j.rinam.2021.100236 (ESCI, JCI 0.67) - U. Abel, O. Agratini,
*Simultaneous approximation by Gauss–Weierstrass–Wachnicki operators*, Mediterr. J. Math., 19 (2022) no. 6, art. 267, https://doi.org/10.1007/s00009-022-02194-0 (IF 1.305, SRI 0.843) - I. Păvăloiu, E. Cătinaș, A
*new optimal method of order four of Hermite-Steffensen type,*Mediterr. J. Math. (2022) 19:147 (IF 1.305, SRI 0.843) - E.S. Grigoriciuc, On Some convex combinations of biholomorphic mappings in several complex variables, Filomat, vol 36 (2022) no. 16, pp. 5503-5519, https://www.pmf.ni.ac.rs/filomat-content/2022/36-16/36-16-14-17124.pdf

- S.H. Amor, R. Precup, A. Traiki,
*Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations*, Fixed Point Theory, vol 23 (2022) no. 1, 105-126, https://doi.org/10.24193/fpt-ro.2022.1.07 (IF. 1.396, SRI 0.656) - O. Agratini, R. Precup,
*Iterates of multidimensional approximation operators via Perov theorem*, Carpathian J. Math., 38 (2022) no. 3, pp. 539-546. (IF 1.360, SRI 0.501) - A. Pop, M. Crăciun, M. Bărbosu,
*On the determination of the orbital elements in the light travel time effect,*Romanian Astron. J., 32 (2022) no. 1, pp. 59-71. (JCI 0.100) - V. Ilea, D. Otrocol, I.A. Rus, M.-A. Serban,
*Applications of fibre contraction principle to some classes of functional integral equations,*Fixed Point Theory, 23 (2022) no. 1, 279-292, http://doi.org/10.24193/fpt-ro.2022.1.18 (IF. 1.396, SRI 0.656) - R. Precup,
*Semilinear problems with poly-Laplace type operators,*Proceedings of the Romanian Academy Series A, 23 (2022) no. 4, 319-328 (IF 0.734, SRI 0.223)

- –

- M. Nechita,
*Medalia “Distincţia Culturală” (the “Cultural Distinction” Medal)*, from Romanian Academy Cluj-Napoca Branch, for outstanding results in Finite Element method

Prof. Dr. R. Precup has **H-index 15**: https://www.webofscience.com/wos/author/rid/B-8158-2011

Dr. rer. nat. habil. N. Suciu has **H-index 13**: https://www.webofscience.com/wos/author/rid/N-7971-2017

Prof. Dr. O. Agratini has **H-index 10**: https://www.webofscience.com/wos/author/rid/B-6607-2012

- Fixed Point Theory and Algorithms for Sciences and Engineering (Springer): R. Precup (Section Editor);
- Journal of Inequalities and Special Functions: R. Precup (Editor).

- Proceedings of the Romanian Academy- Series A, R. Precup (Member of the Editorial Board);
- Carpathian Journal of Mathematics, R. Precup (Member of the Editorial Board);
- Fixed Point Theory (Cluj), R. Precup (Deputy Editor-in-Chief);
- Studia UBB Math.: R. Precup (Editor-in-Chief), O. Agratini (senior Editor)
- J. Science and Arts: O. Agratini (Member of the Editorial Board);

Journals of the Romanian Academy

- J. Numer. Anal. Approx. Theory: O. Agratini (Editor-in-Chief), E. Cătinaş (Editor-in-Chief), I. Păvăloiu (deputy Editor-in-Chief), M. Nechita, A. Malina, A. Stan
- Mathematica (Cluj): R. Precup, O. Agratini (Members of the Editorial Board);

- Discussiones Mathematicae Differential Inclusions, Control and Optimization (Poland), R. Precup (Member of the Editorial Board);
- Open Journal of Discrete Mathematics: O. Agratini (Member of the Editorial Board);
- Mathematics in Engineering, Science and Aerospace (USA), R. Precup (Member of the Editorial Board);

- Transylvanian Journal of Mathematics and Mechanics, R. Precup (Member of the Editorial Board);
- ROMAI Journal: N. Suciu, C.I. Gheorghiu (Members of the Editorial Board);

- The international conference Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2022), October 26-28, 2022 (organized by ICTP)
- Fourth Romanian Itinerant Seminar on Mathematical Analysis and its Applications, Brasov, May 19-21, 2022 (co-organized by ICTP)

Members of the scientific committees of international conferences

- O. Agratini:
*The 9th International Congress on Fundamental and Applied Sciences*, ICFAS 2022, Istanbul, Turkey, June 27-30, 2022, https://icfas2022.intsa.org/index.html - O. Agratini:
*International Conference on Functional Analysis, Approximation Theory and Numerical Analysis*, Matera, Italy, July 5-8, 2022, http://web.unibas.it/faatna22/index.html - ?

*International conferences*

- R. Precup,
*Stationary Kirchhoff equations and systems with reaction terms*, Research Seminar in Nonlinear Analysis, 22 martie 2022, Lodz University of Technology, Poland (**invited speaker**, online) https://tulodz-my.sharepoint.com/:w:/g/personal/w7i73_adm_p_lodz_pl/EQ6ivqrzok9GuIw-EXK3ClcBtaUlyI138c1OPcPMKfOWKA?rtime=oSSCzOfV2kg - R. Precup,
*Nonlinear alternatives of hybrid type for nonself vector-valued maps and application to differential systems*, Recent Developments in Ordinary and Partial Differential Equations, 22-26 mai 2022, Bejaia University, Algeria (**invited speaker**, online) https://rdopde22.sciencesconf.org - R. Precup,
*Semilinear problems with poly-Laplace type operators*, XVème Colloque Franco-Roumain de Mathématiques Appliquées, 29 august-2 septembrie 2022, Toulouse, Franta (**invited speaker**) https://15colfrro.sciencesconf.org/ - R. Precup,
*An algorithm of solving general control problems with application to a medical model*, Academic Days of Cluj-Napoca 2022: Numerical Analysis, Numerical Modeling and Approximation Theory (NA-NM-AT 2022), 26 – 28 October 2022, Cluj-Napoca (online) https://ictp.acad.ro/nanmat-2022/ - R. Precup,
*Analysis of Navier-Stokes models for flows in bidisperse porous media*, Workshop: Geometric Function Theory in Several Complex Variables and Complex Banach Spaces, December 1-3, 2022, Cluj-Napoca (online) http://math.ubbcluj.ro/workshop_gk/ - Suciu, N., Radu, F.A., Pop, I.S., Space-time upscaling of reactive transport in porous media, InterPore2022 Online Conference, June 2022,
__https://events.interpore.org/event/40/contributions/4514/__ - Suciu, N., Radu, F.A., Pop, I.S., Random walk solutions of reactive transport in porous media adapted to measurement scales, XXIV International Conference on Computational Methods in Water Resources (CMWR), Gdańsk University of Technology, June 19-23, http://dx.doi.org/10.13140/RG.2.2.27364.24963
- Suciu, N., Three issues of numerical modeling of reactive transport in porous media, Numerical Analysis, Numerical Modeling, Approximation Theory – Cluj Academic Days, October 26-28, 2022 (online conference), https://ictp.acad.ro/NANMAT-2022/
- D. Otrocol, Applications of fibre contraction principle to some classes of equations, Functional Analysis, Approximation Theory and Numerical Analysis, Matera, Italy, July 5-8 2022, FAATNA20>22.
- D. Otrocol, Applications of fibre contraction principle to some classes of functional integral equations, Functional Analysis, International Conference on Approximation Theory and Its Applications, September 12-14, 2022, ICATA2022.
- D. Otrocol, Applications of fibre contraction principle to some classes of equations, Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2022), October 26-28, online.
- M. Nechita, Full fluid-structure state estimation from 4d-flow MRI data, 11th European Solid Mechanics Conference, Galway, Irlanda, 07.2022. https://www.esmc2022.org/
- M. Nechita, Unique continuation for convection-diffusion equations using stabilised finite elements, 15th French-Romanian Colloquium on Applied Mathematics, Toulouse, 09.2022, https://15colfrro.sciencesconf.org
- M. Nechita, Unique continuation for convection-diffusion equations using stabilised finite elements, NANMAT Numerical Analysis, Numerical Modeling, Approximation Theory (Zilele academice clujene), 10.2022, https://ictp.acad.ro/nanmat-2022/
- C.I. Gheorghiu,
*On Chebyshev collocation solutions to the Liouville-Bratu-Gelfand problems*, NANMAT Zilele Academice Clujene, 2022 - M. Crăciun, T. Harko,
*The effects of a random potential on Bose-Einstein Condensate dark matter halos, Theory, Observations and Data Processing in Astronomy, Astrophysics, Space and Planetary Sciences,**06-08 July 2022*Cluj-Napoca, 2022 - A. Pop, V. Turcu, M. Crăciun,
*“Digging in the garbage” or SZ Lyncis – a quadruple stellar system?**Theory, Observations and Data Processing in Astronomy, Astrophysics, Space and Planetary Sciences,**06-08 July 2022*Cluj-Napoca, 2022 - M. Crăciun, A. Pop, On the analysis and modelling of some time series from astronomy, Numerical Analysis, Numerical Modeling, Approximation Theory, Academic Days, October 26-28 2022, Cluj-Napoca
- I. Boros, On the mathemathics of Neural Networks, NANMAT
- O. Agratini,
*On Jain operators and their generalizations,*The 9th International Congress on Fundamental and Applied Sciences, ICFAS 2022, Istanbul, Turkey, June 27-30, 2022. https://icfas2022.intsa.org/index.html - O. Agratini,
*On Wachnicki operators,*International Conference on Functional Analysis, Approximation Theory and Numerical Analysis, Matera, Italy, July 5-8, 2022. http://web.unibas.it/faatna22/index.html - O. Agratini, ???title of talk???,
*Numerical Analysis, Numerical Modeling and Approximation Theory*(NANMAT 2022), October 26–28, 2022 - A. Stan, Existence and localization of Nash equilibria for systems with partial variational structure, XVème Colloque Franco-Roumain de Mathématiques Appliquées, 29 august-2 septembrie 2022, Toulouse, Franța, https://15colfrro.sciencesconf.org/
- A. Stan, On approximating the convergence orders, NA-NM-AT 2022, 26-28 octombrie 2022, online.
- A. Stan, On the existence of Nash equilibria for nonvariational systems, 14th Joint Conference on Mathematics and Computer Science Cluj-Napoca, 24–27 Noiembrie 2022, https://www.cs.ubbcluj.ro/~macs/2022/index.php?m=2
- E.S. Grigoriciuc,
*On some convex combinations of analytical functions,*Zilele Academice Clujene: Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2022), Institutul de Calcul “Tiberiu Popoviciu”, Academia Romana, Cluj-Napoca, Romania, via online, 26 – 28 Octombrie 2022; https://ictp.acad.ro/nanmat-2022/ - ? to be completed

*National conferences*

- R. Precup, Hybrid fixed point results for nonself vector-valued maps and application, Fourth Romanian Itinerant Seminar on Mathematical Analysis and its Applications RISMAA, May 19-21, 2022, Brasov (
**plenary invited speaker**) https://mateinfo.unitbv.ro/ro/136-conferin%C8%9Be-category/507-rismaa-about.html - R. Precup, On some applications of the controllability principle for fixed point equations, Seminar on Nonlinear Operators and Differential Equations, February 24, 2022, Cluj-Napoca, http://www.math.ubbcluj.ro/~nodeacj/soned.html
- A. Stan, Kirchhoff type equations and system of equations, Program of the Seminar on Nonlinear Operators and Differential Equations, 31 martie 2022, UBB Cluj, http://www.math.ubbcluj.ro/~nodeacj/soned.html
- A. Stan, Localization of Nash-type Equilibria for Systems with a Partial Variational Structure, Fourth Romanian Itinerant Seminar on Mathematical Analysis and its Applications RISMAA, Brașov, May 19-21, 2022, https://mateinfo.unitbv.ro/ro/136-conferin%C8%9Be-category/507-rismaa-about
- E.S. Grigoriciuc,
Universitatea “Aurel Vlaicu” Arad, Romania, 23 – 24 Noiembrie 2022; https://studmathit.uav.ro/*Starlike and convex functions in C: examples via MatLab, International Students’ Conference StudMath-IT, Facultatea de Stiinte Exacte,* -
E.S. Grigoriciuc,
*The Graham-Kohr extension operator and subclasses of biholomorphic*The 14th Joint Conference on Mathematics and Computer Science (14th MaCS), Facultatea de Matematica si Informatica, Universitatea “Babes-Bolyai” Cluj-Napoca, Romania, 24 – 27 Noiembrie 2022; https://www.cs.ubbcluj.ro/~macs/2022/*mappings in C^n,* -
E.S. Grigoriciuc,
*The Graham-Kohr extension operator and subclasses of biholomorphic**mappings in C^n,*Workshop dedicated to the memory of Professor Gabriela Kohr: Geometric Function Theory in Several Complex Variables and Complex Banach Spaces, Facultatea de Matematica si Informatica, Universitatea “Babes-Bolyai” Cluj-Napoca, Romania, 1 – 3 Decembrie 2022; http://math.ubbcluj.ro/workshop_gk/ - ? to be completed

Presentations at seminars/workshops

- E.S. Grigoriciuc, C
*onvex sums of univalent functions: examples using MatLab,*Seminarul grupului de cercetare de Analiza Complexa “Prof. dr. Gabriela Kohr”, Facultatea de Matematica si Informatica, Departamentul de Matematica,Universitatea “Babes-Bolyai” Cluj-Napoca, Romania, 13 Octombrie 2022; http://math.ubbcluj.ro/~gctf/ - E.S. Grigoriciuc, -eigenvalues-, Seminar ICTP, November ?, 2022
- A. Malina, -eigenvalues-, Seminar ICTP, November ?, 2022
- I. Bula, -eigenvalues-, Seminar ICTP, November ?, 2022
- A. Stan, -eigenvalues-, Seminar ICTP, November ?, 2022

- N. Suciu, collaboration with F.A. Radu, from Univ. of Bergen, Norway
- N. Suciu, collaboration with I.S. Pop, Univ. of Hasselt, Belgium
- R. Precup, collaboration with Jorge Rodriguez-Lopez, from Univ. of Santiago de Compostela, Spain
- R. Precup, collaboration with Sana Hadji Amor, from Univ. of Sousse, Tunisia
- R. Precup, collaboration with Abdelhak Traiki, from Univ. of Sousse, Tunisia
- M. Nechita, collaboration with Erik Burman, University College London, https://iris.ucl.ac.uk/iris/browse/profile?upi=ENBUR31
- M. Nechita, collaboration with Lauri Oksanen, University of Helsinki, https://www.helsinki.fi/en/about-us/people/people-finder/lauri-oksanen-9110566
- M. Nechita, collaboration with Miguel A. Fernández, INRIA Paris, https://team.inria.fr/commedia/fernandez/
- O. Agratini, collaboration with Ulrich Abel, Technische Hochschule Mittelhessen, Friedberg, Germany
- O. Agratini, collaboration with Harun Karsli, Abant Izzet Baysal University, Bolu, Turkey
- M. Craciun, collaboration with Mihai Barbosu, Rochester Institute of Technology, New York, USA,
- ??

National scientific collaborations

- O. Agratini, collaboration with Ivan Mircea, Technical University Cluj-Napoca
- M. Craciun, collaboration with Tiberiu Harko, from Univ. Babes-Bolyai (Tiberiu Harko – Google Academic)
- M. Craciun, collaboration with Alexandru Pop, Astronomical Institute, Astronomical Observatory Cluj-Napoca, Romanian Academy, (Alexandru Viorel Pop – Google Academic)
- A. Malina, collaboration with Teodora Catinas, from the Babes-Bolyai University, Cluj-Napoca
- E. Grigoriciuc, collaboration with Mirela Kohr, from the Babes-Bolyai University, Cluj-Napoca

- Radu Precup – Granturi de sustinere a competitivitatii, Universitatea Babeş-Bolyai:

1. AGC33151/28.06.2022

2. AGC33152/28.06.2022

3. AGC33153/28.06.2022 - M. Nechita, postdoc scholarship at INRIA, Paris (ended in March? 2022)
- M. Nechita, postdoc scholarship at “Babes-Bolyai” University (started in september/october 2022) POCU/993/6/13/153310 „Dezvoltarea competențelor de cercetare avansată şi aplicată în logica STEAM + Health”, https://sites.euro.ubbcluj.ro/steam/

Prof. dr. O. Agratini is a permanent expert member of ARACIS, in committee C1 (exact sciences and natural sciences/Stiinte exacte si stiinte ale naturii), see https://www.aracis.ro/comisii-de-experti-permanenti/

Members of PhD evaluation committees

- O. Agratini, member of the PhD evaluation committee for ?, Universitatea Politehnică București
- O. Agratini, member of the PhD evaluation committee for ?, Universitatea Transilvania din Brașov
- O. Agratini, member of the PhD evaluation committee for ?, Universitatea Babeș-Bolyai
- O. Agratini, member of the PhD evaluation committee for ?, Universitatea Babeș-Bolyai
- E. Cătinaș, member of the PhD evaluation committee for L. Satmari, University of Oradea, October 25, 2022.

Referee reports for peer reviewed/JCR international journals:

- R. Precup: 13
- C.I. Gheorghiu: 12
- N. Suciu: 3, and expert evaluator for Swedish Research Council
- E. Catinas: 2 (for Numer. Algor. and Carpathian J. Math.)

Book reviews:

- R. Precup: 2 book reviews – 1 book, 1 book
- M. Nechita: 1 book
- I. Boros: 2 book reviews

Paper reviews for the two major international databases Mathematical Reviews and ZBL Math:

R. Precup, for Mathematical Reviews:

- MR4382568 Le, Vy Khoi,
*On inclusions with monotone-type mappings in nonreflexive Banach spaces*. J. Optim. Theory Appl. 192 (2022), no. 2, 484–509. - MR4308919 Labbas, Rabah; Medeghri, Ahmed; Menad, Abdallah,
*Study of an elliptic differential equation: set in three habitats with skewness boundary conditions at the interfaces in*\(L^q\)*cases*. Mediterr. J. Math. 18 (2021), no. 5, Paper No. 206, 17 pp. - MR4246912 Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; El Ouali, Mourad,
*Multivalued nonmonotone dynamic boundary condition*. Bound. Value Probl. 2021, Paper No. 43, 18 pp.

R. Precup, for ZBL Math:

- Zbl 07396557, O’Regan, Donal, Essential weakly Mönch type maps and continuation theory, Fixed Point Theory 22, 779-784 (2021).
- Zbl 07488598, Bołbotowski, Karol; Bouchitté, Guy, Optimal design versus maximal Monge-Kantorovich metrics, Arch. Ration. Mech. Anal. 243, 1449-1524 (2022).
- Zbl 07496918, Bekiri, Mohamed; Benalili, Mohammed, Sign-changing solutions for elliptic problem involving the sixth order \textit{GJMS} operator on compact manifold, NoDEA, Nonlinear Differ. Equ. Appl. 29, Paper No. 22, 24 p. (2022).
- Zbl 07538687, Abramov, V. V. On the branching of a large periodic solution of a system of differential equations with a parameter, J. Math. Sci., New York 262, 767-772 (2022).; translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 3-8 (2019).
- Zbl 07562002, Gui, Yao Ting, Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold, Acta Math. Sin., Engl. Ser. 38, 1271-1276 (2022).

C.I. Gheorghiu, for ZBL Math: Zbl 1464.65234, (to be completed)