Institute annual report 2024 (work in progress)

version: December 6, 2024.

updates:

Human resources

Researchers

The Numerical Analysis and Approximation Theory workgroup:

• Dr. Emil Cătinaş (workgroup coordinator)
• Prof. Dr. Octavian Agratini
• Dr. Mihai Nechita
• Dr. Diana Otrocol
• Imre Boros
• Andra Malina
• Eduard Grigoriciuc

The Numerical Modeling workgroup:

• Prof. Dr. Radu Precup, corresponding member of the Romanian Academy
• Dr. Călin-Ioan Gheorghiu (workgroup coordinator)
• Dr. rer. nat. habil. Nicolae Suciu
• Dr. Maria Crăciun
• Andrei Stan
• Andrei Gasparovici

Doctoral students/postdocs:

Doctoral students in 2024:

• Iulia Buda, at UBB Cluj
• Eduard Grigoriciuc, at UBB Cluj
• Andra Malina, Metode de aproximare a functiilor de mai multe variabile, at UBB Cluj
• Andrei Stan, Nash type equilibria for systems of nonlinear equations, at UBB Cluj.

Postdoc students in 2024:

• Mihai Nechita, at UBB Cluj (till September 2023)

PhD advisors

Prof. dr. Radu Precup, corresponding member of the Romanian Academy
PhD students (2024):

• Andrei Stan, Nash type equilibria for systems of nonlinear equations, at UBB Cluj
• Alexandru Hofman, Control problems for systems of Kolmogorov type, at UBB Cluj
• Alexandru Orzan, Parametric methods for problems of fractional optimization, at UBB Cluj
• David Brumar, The analysis of some mathematical models in fluid dynamics, at UBB Cluj.

Coordination of doc and postdoc students: Nataliia Kolun (Ukraine).
Mentor in some research projects: Lorand Parajdi, Mihai Nechita, Maria Neuss-Radu.

Prof. Univ. dr. Octavian Agratini
PhD students (2024):

• Grapini O. Silviu-Ilie, at UBB Cluj (thesis not finalized yet)
• Balogh M. Anamaria, at UBB Cluj (thesis not finalized yet)
• Bunea-Domșa S. Mihai Grigore, at UBB Cluj (thesis not finalized yet).

Dr. rer. nat. habil. Nicolae Suciu
(no PhD students in 2024)

Papers published in 2024

Papers in JCR journals from abroad

• N. Suciu, Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al.  (2024), Engineering Analysis with Boundary Elements, 169 Part A, (2024), art. no. 105963, https://doi.org/10.1016/j.enganabound.2024.105963
• M. Crăciun, T. Harko, Testing Weyl geometric gravity with the SPARC galactic rotation curves database, Physics of the Dark Universe, 43 (2024), art. no. 101423, https://doi.org/10.1016/j.dark.2024.101423. (IF 5)
• E. Cătinaş, The strict superlinear order can be faster than the infinite order, Numer. Algor., 95 (2024), pp. 1177–1186. https://doi.org/10.1007/s11075-023-01604-y
• R. Precup, C.-I. Gheorghiu, Theory and computation of radial solutions for Neumann problems with φ-Laplacian, Qualitative Theory of Dynamical Systems, 23 (2024), art. no. 107, https://doi.org/10.1007/s12346-024-00963-8
• M. Kohr, R. Precup, Localization of energies in Navier–Stokes models with reaction terms, Analysis and Applications, 22 (2024) no. 6, pp. 1053-1073, https://doi.org/10.1142/S0219530524500118
• O. Agratin, R. Precup, Estimates related to the iterates of positive linear operators and their multidimensional analogues, Positivity, 28 (2024) article number 27, https://doi.org/10.1007/s11117-024-01045-4
• A. Hofman, R. Precup, Vector fixed point approach to control of Kolmogorov differential systems, Contemporary Mathematics, 2 (2024) no. 5, pp. 1311-1425. https://doi.org/10.37256/cm.5220242840
• N. Kolun, R. Precup, Localization of solutions for semilinear problems with poly-Laplace type operators, Applicable Analysis, 103(5) (2024), pp. 985-997, https://doi.org/10.1080/00036811.2023.2218869
• C. Günther, Al. Orzan and R. Precup, Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems, Optimization, 73 (2024) no 11, pp. 3323-3337. https://doi.org/10.1080/02331934.2023.2256750
• P. Jebelean, R. Precup, J. Rodríguez-López, Positive radial solutions for Dirichlet problems in the ball, Nonlinear Analysis, 240 (2024), art. id. 113470, https://doi.org/10.1016/j.na.2023.113470
• O. Agratini, Properties of positive linear operators connected with squared fundamental functions, Numer. Funct. Anal. Optimiz., 45 (2024) no. 2, pp. 103-111, https://doi.org/10.1080/01630563.2024.2316579
• A. Malina, Univariate Shepard operators combined with least squares fitting polynomials, Filomat, 38 (2024) no. 15, pp. 5507-5516. https://doi.org/10.2298/FIL2415507M
• T. Cătinaș, A. Malina, Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions, Numer. Algor., 97 (2024), pp. 1397-1414, https://doi.org/10.1007/s11075-024-01755-6
• C. Gheorghe, A. Stan, Stratified equatorial flows in cylindrical coordinates with surface tension, Monatsh. Math., 205 (2024), 497–509. https://doi.org/10.1007/s00605-024-02007-4

Papers in JCR journals from Romania

• V. Ilea, D. Otrocol, Integral equation with maxima via fibre contraction principle, Journal Fixed Point Theory, 25 (2024) 2, pp. 601-610, http://doi.org/10.24193/fpt-ro.2024.2.10

Chapters in books in recognized publishing houses/proceedings

–

Papers published in Scopus journals

• N. Suciu, F.A. Radu, E. Cătinaş, Iterative schemes for coupled flow and transport in porous media – Convergence and truncation errors, J. Numer. Anal. Approx. Theory 53 (1), 158-183 2024, https://doi.org/10.33993/jnaat531-1429
• N. Suciu, I. Boros, Controlling numerical diffusion in solving advection-dominated transport problems, J. Numer. Anal. Approx. Theory, 53 (2024) no. 1,  pp, 144–157, https://doi.org/10.33993/jnaat531-1438
• C.I. Gheorghiu, Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems, J. Numer. Anal. Approx. Theory, 53 (2024) no. 2, pp. 233-241, https://doi.org/10.33993/jnaat532-1503
• E.S. Grigoriciuc, A Stancu type extension of the Cheney-Sharma Chlodovsky operators, J. Numer. Anal. Approx. Theory, 53 (2024) no. 1, 103-117, https://doi.org/10.33993/jnaat531-1406.
• E.S. Grigoriciuc, New subclasses of univalent functions on the unit disc in C, Stud. Univ. Babes-Bolyai Math., 69 (2024) no. 4, pp. 769-787, http://dx.doi.org/10.24193/subbmath.2024.4.05.

Papers in other journals

Papers accepted and published online

• E. Burman, M. Nechita, L. Oksanen, Optimal approximation of unique continuation, Found. Comput. Math. (2024), https://doi.org/10.1007/s10208-024-09655-w.
• T. Cătinaș, A. Malina, Spherical Shepard-Bernoulli operator, J. Appl. Math. Comput. (2024), https://doi.org/10.1007/s12190-024-02285-z

Preprints in Arxiv/submitted/accepted

• N. Suciu, F.A. Radu, J.S. Stokke, E. Cătinaș, A. Malina, Computational orders of convergence of iterative methods for Richards’ equation, arXiv:2402.00194v1, https://doi.org/10.48550/arXiv.2402.00194
• N. Suciu, S. Nepal, Y. Wondmagegne, M. Ögren, A. Muntean, Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results, arXiv:2410.12378, 2024.
• R. Precup, A. Stan, On equilibrium in control problems with applications to evolution systems, arXiv:2409.09805, 2024.
• R. Precup, A. Stan, A mutual control problem for semilinear system via fixed point approach, arXiv:2407.21131, 2024.
• A. Pop, M. Crăciun , Two Complementary Approaches of the Periodicity Detection in Observational Data, Experimental Astronomy (under review)
• O. Agratini, On Kantorovich-type operators in Lp spaces, WSEAS Transactions on Mathematics.
• P. Dicu, M. Dicu, E.S. Grigoriciuc, Univalence criteria for certain integral operator, Bull. Transilv. Univ. Brasov, Ser. III, Math. Comput. Sci., accepted
• A. Gasparovici, A. Serban, Generative 3D Cardiac Shape Modelling for In-Silico Trials, arXiv preprint arXiv:2409.16058, 2024
• C-I. Gheorghiu, Spectral Collocation Solutions to some Nonlinear and Singular Problems from Physico-Chemical Hydrodynamics, Journal Mathematical Chemistry, submitted
• C.-I. Gheorghiu, Accurate Chebfun Solutions to Third Order Nonlinear BVPs on the Half-Line. Applications in Boundary Layer Theory. Physica Scripta, IOPscience, submitted

Prizes, outstanding achievements

• Prof. Dr. R. Precup has H-index ISI 16: https://www.webofscience.com/wos/author/rid/B-8158-2011 (h-index Google Scholar 23)
• Dr. rer. nat. habil. N. Suciu has H-index ISI 13: https://www.webofscience.com/wos/author/rid/N-7971-2017 (h-index Google Scholar 14)
• Prof. Dr. O. Agratini has H-index ISI 10: https://www.webofscience.com/wos/author/rid/B-6607-2012 (h-index Google Scholar 20)

Since 2022, O. Agratini is professor emeritus at the Faculty of Mathematics and Computer Science (Babeş-Bolyai University).

Editorial activity

Editors-in-Chief/deputy/senior editors of JCR/ISI or Scopus journals

• R. Precup, Editor-in-Chief of Studia UBB Math. (ISI/ESCI)
• R. Precup, Deputy Editor-in-Chief of Fixed Point Theory (Cluj) (ISI)
• O. Agratini, Editor-in-Chief of J. Numer. Anal. Approx. Theory (Scopus)
• E. Cătinaş, Editor-in-Chief of J. Numer. Anal. Approx. Theory (Scopus)
• O. Agratini, senior Editor of Studia UBB Math. (ISI/ESCI)

Members of editorial boards of JCR/ISI journals

– JCR/ISI journals abroad

• R. Precup, section Editor of Fixed Point Theory and Algorithms for Sciences and Engineering (Springer);
• R. Precup, editor of Journal of Inequalities and Special Functions.

– JCR/ISI journals from Romania

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

Members of editorial boards of journals of the Romanian Academy

• O. Agratini, Editor-in-Chief of J. Numer. Anal. Approx. Theory
• E. Cătinaş, Editor-in-Chief of J. Numer. Anal. Approx. Theory
• M. Nechita, secretary of J. Numer. Anal. Approx. Theory
• A. Malina, secretary of J. Numer. Anal. Approx. Theory
• A. Stan, secretary of J. Numer. Anal. Approx. Theory
• R. Precup, member of the Editorial Board of Mathematica (Cluj)
• O. Agratini, member of the Editorial Board of Mathematica (Cluj)

Members of editorial boards of other journals from abroad

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

Members of editorial boards of other journals from Romania

• R. Precup, member of the Editorial Board of Transylvanian Journal of Mathematics and Mechanics;
• N. Suciu, member of the Editorial Board of ROMAI Journal
• C.I. Gheorghiu, member of the Editorial Board of ROMAI Journal

Conferences

Conferences organized by the Institute

• The international conference Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2024), November 4-7, 2024 (organized by ICTP)

Institute members in the scientific committees of international or national conferences

Institute members in the organizing committees of international or national conferences

Invited speakers:

• O. Agratini, 3^rd European Computing Conference (ECC), Crete Island, May 7 – 9, 2024, Greece. (invited lecture)
• O. Agratini, 8^th International Conference Mathematical Models & Computational Techniques in Science & Engineering (MMCTSE), Athens, June 1 – 3, 2024, Greece. (invited lecture)

Talks given/conferences attended by the members of the Institute

International conferences

• O. Agratini, Numerical Analysis, Numerical Modelling and Approximation Theory (NANMAT 2024), 4 -7 November, 2024, Cluj-Napoca, Romania.
• I. Boros, Numerical methods for advection-dominated transport: a comparative study, Numerical Analysis, Numerical Modelling and Approximation Theory (NANMAT 2024), 4 -7 November, 2024, Cluj-Napoca, Romania.
• M. Crăciun, T. Harko, A. Pop, Analysis and modelling of some observational data, Numerical Analysis, Numerical Modelling and Approximation Theory (NANMAT 2024), 4 -7 November, 2024, Cluj-Napoca, Romania.
• C-I. Gheorghiu, Spectral Collocation Solutions to some Nonlinear BVPs on Infinite Domains. Applications to Physico-Chemical Hydrodynamics. Creta, Grecia, Septembrie, 2024.
• C.-I. Gheorghiu, CHEBFUN approximation to ground state solutions to some semilinear Laplace equations, Numerical Analysis, Numerical Modelling and Approximation Theory (NANMAT 2024), 4 -7 November, 2024, Cluj-Napoca, Romania.

National conferences

• M. Craciun, Astronomical Observatory,
• E. Catinas, Astronomical Observatory,

Presentations at seminars

Scientific collaborations

ICTP has signed in July 2023 a collaboration protocol with Data and Predictive Analytics Center (DPAC – Rochester University, USA), based on some existing collaborations. The agreement aims in solving some problems in the analysis, processing and modelling of some time series from astronomy.

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
• E. Cătinaş, collaboration with F.A. Radu, from Univ. of Bergen, Norway
• R. Precup, collaboration with Jorge Rodriguez-Lopez, from Univ. of Santiago de Compostela, Spain
• R. Precup, collaboration with Sylvain Koumla (Univ. Abéché, Chad);
• R. Precup, collaboration with Christian Guenther (Univ. Hannover, Germany);
• R. Precup, collaboration with Maria Neuss-Radu (Erlangen, Germany);
• R. Precup, collaboration with Renata Bunoiu (Univ. Lorraine, France)
• 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
• O. Agratini, collaboration with Radu Păltănea, Transilvania University of Brașov
• 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
• R. Precup, collaboration with Petru Jebelean (Univ. de Vest, Timisoara);
• R. Precup, collaboration with Mirela Kohr (UBB Cluj-Napoca);
• R. Precup, collaboration with Nataliia Kolun (UBB Cluj-Napoca);
• R. Precup, collaboration with Lorand Parajdi,
• R. Precup, collaboration with Veronica Ilea (UBB Cluj-Napoca);
• R. Precup, collaboration with Adela Novac (Univ. Tehnica, Cluj-Napoca);
• R. Precup, collaboration with Stefan Haplea (UMF Cluj-Napoca);

Membership in professional organizations

• N. Suciu member: GAMM (Gesellschaft für angewandte Mathematik und Mechanik) (2019 şi 2020), EGU (European Geosciences Union) (2019-2021), InterPore (International Society for Porous Media) (2021-2023).
• R. Precup, O. Agratini, D. Otrocol: SSMR (Societatea de Științe Matematice din România) members.
• E. Cătinaş, SIAM (Society for Industrial and Applied Mathematics) member  (since 2007), SSMR (Societatea de Științe Matematice din România), 
• Grigoriciuc: AMS (American Mathematical Society) member (since 2021), LMS (London Mathematical Society) member (since 2021), EMS (European Mathematical Society) member (since 2021)
• C.I. Gheorghiu, ROMAI (Societatea Română de Matematică Aplicată și Industrială), membru GAMM (Gesellschaft für angewandte Mathematik und Mechanik), ECMI (European Consortium for Mathematics in Industry)
• O. Agratini: AMS (American Mathematical Society) member.

Grants/contracts/scholarships

• Subventionarea literaturii tehnico-stiintifice 2024 (54000 lei), director: E. Cătinaş

Peer review

Members of national committees

Members of PhD/habilitation evaluation committees

Members of PhD supervising committees

• R. Precup for: Cristina Gheorghe (supervisor: A. Petrusel);
• R. Precup for: Florin Albisoru (supervisor: M. Kohr)
• R. Precup for: I. Papuc (supervisor: M. Kohr)
• R. Precup for: M. Aron (supervisor: M. Kohr)
• R. Precup for: A. Gasparovici (supervisor: M. Kohr),
• R. Precup for: Andra Malina, Metode de aproximare a functiilor de mai multe variabile (supervisor: T. Catinas)
• R. Precup for: Iulia Buda (supervisor: T. Cătinaș)
• O. Agratini for: Alin Fodor (supervisor C. Pintea);
• O. Agratini for: Andra Malina, Metode de aproximare a functiilor de mai multe variabile (supervisor: T. Cătinaș)
• O. Agratini for: Iulia Buda (supervisor: T. Cătinaș)
• O. Agratini, for Șuțu Mădălina (supervisor T. Cătinaș)

Referee reports for peer reviewed journals:

• O. Agratini: in ISI Journals: Dolomites Research Note on Approximation (1 report); Hacettepe Journal of Mathematics and Statistics  (1 report); Mathematical Methods in the Applied Sciences (3 reports); Studia Universitatis Babeș-Bolyai, Mathematica (5 reports); in Scopus journals:  WSEAS Transactions on Mathematics  (1 report); WEAS Transactions on Information Sciences and Applications  (1 report); Journal of Numerical Analysis and Approximation Theory (9 reports). in other journals: Communication in Optimization Theory (BDI) (1 report);
• M. Craciun: in Scopus journals: J. Numer. Anal. Approx. Theory  (2 reports);
• E. Cătinaș: in ISI journals: Numer. Algor. (1 report); in Scopus journals: J. Numer. Anal. Approx. Theory  (11 reports);
• I. Boros: J. Numer. Anal. Approx. Theory (2 reports);
• C.I. Gheorghiu: ISI journals: Journal of Mathematical Chemistry  (1 report), Numerical Algorithms  (1 report);
• M. Nechita: Studia Univ. Babeș-Bolyai Math. (1), J. Numer. Anal. Approx. Theory (4)
• R. Precup: Studia Univ. Babes-Bolyai Math. (6);
• N. Suciu: J. Numer. Anal. Approx. Theory (2)

Expert evaluators:

Book reviews:

• O. Agratini: 1 book review.
• M. Nechita:
• A. Malina: 1 = book review .
• E. Grigoriciuc 1

Reviews (written in 2024)

for Mathematical Reviews:

• O. Agratini:
• R. Precup:
• C. Mustăța (honorary member): .

For ZBL Math:

• R. Precup: .
• C.I. Gheorghiu: 25.