Institute annual report 2022

version of January 26, 2023.

Human resources

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

Docs/postdocs:

Doctoral students in 2022:

Postdoc students in 2022:

Dr. Mihai Nechita

PhD advisors

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
PhD students (2022):

Imre Boros (Numerical methods for partial differential equations)

Dr. rer. nat. habil. Nicolae Suciu

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

Books

Papers published in 2022

Papers in JCR journals from abroad

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

Papers in JCR journals from Romania

Papers published in other journals

C.-I. Gheorghiu, Chebfun solutions to a class of 1D singular and nonlinear boundary value problems, Computation, 10 (2022) no. 7, art. id. 116, http://doi.org/10.3390/computation10070116

Preprints in Arxiv

N. Suciu, F.A. Radu, Space-time upscaling of reactive transport in porous media, Arxiv: https://doi.org/10.48550/arXiv.2112.10692

Chapters in books

Prizes, outstanding achievements

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

Editorial activity

JCR/ISI journals abroad

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

JCR/ISI journals from Romania

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);

Other journals from abroad

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);

Other journals from Romania

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);

Conferences

Conferences organized by the Institute

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
?

Conferences attended by the members of the Institute

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, Starlike and convex functions in C: examples via MatLab, International Students’ Conference StudMath-IT, Facultatea de Stiinte Exacte, Universitatea “Aurel Vlaicu” Arad, Romania, 23 – 24 Noiembrie 2022; https://studmathit.uav.ro/
E.S. Grigoriciuc, The Graham-Kohr extension operator and subclasses of biholomorphic mappings in C^n, 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/
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, Convex 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

International scientific collaborations

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,
Mihail Barbosu | RIT, https://www.rit.edu/directory/mxbsma-mihail-barbosu
??

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

Grants/scholarships

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/

Peer review

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)