Institute annual report 2023

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last update: December 4, 2023. Main version: December ?, 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. Mihai Nechita
Dr. Diana Otrocol
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 2023: Andrei Stan, Andra Malina, Eduard Grigoriciuc, Iulia Buda.

Postdoc students in 2023: –

PhD advisors

Prof. dr. Radu Precup, corresponding member of the Romanian Academy
PhD students (2023):

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: Nataliia Kolun (Ukraine).
Mentor in some research projects: Lorand Parajdi, Mihai Nechita, Maria Neuss-Radu.

Prof. Univ. dr. Octavian Agratini

Dr. rer. nat. habil. Nicolae Suciu

Prof. Univ. dr. Ion Păvăloiu (honorary member of ICTP till August 2023)

Papers published in 2023

Papers in JCR journals from abroad

Papers in JCR journals from Romania

V. Ilea, A. Novac, D. Otrocol, R. Precup, Nonlinear alternatives of hybrid type for nonself vector-valued maps and application, Fixed Point Theory, 24 (2023) no. 1, 221-232, http://doi.org/10.24193/fpt-ro.2023.1.11

Chapters in books in recognized publishing houses

U. Abel and O. Agratini, On Wachnicki’s Generalization of the Gauss-Weierstrass Integral, In: Candela, A.M., Cappelletti Montano, M., Mangino, E. (eds) Recent advances in Mathematical Analysis. Trends in Mathematics, October 2022, Birkhäuser, Cham., pp 1–13, 2023. https://doi.org/10.1007/978-3-031-20021-2_1

Papers published in Scopus journals

M. Nechita, Solving ill-posed Helmholtz problems with physics-informed neural networks, J. Numer. Anal. Approx. Theory 52 (2023), no. 1, pp. 90-101, https://doi.org/10.33993/jnaat521-1305
A. Stan, Localization of Nash-type equilibria for systems with partial variational structure, J. Numer. Anal. Approx. Theory, 52 (2023) no. 2, https://doi.org/10.33993/jnaat522-1356, to appear.
T. Catinas, I. Buda, An extension of the Cheney-Sharma operator of the first kind, J. Numer. Anal. Approx. Theory, 52 (2023) no. 2, https://doi.org/10.33993/jnaat522-1373, to appear.

Papers accepted and published online

Preprints in Arxiv/submitted

E. Burman, M. Nechita, L. Oksanen, Optimal finite element approximation of unique continuation, arXiv 2311.07440 (2023), https://arxiv.org/abs/2311.07440
M. Crăciun, T. Harko, Testing Weyl geometric gravity with the SPARC galactic rotation curves database, submitted to Physics of Dark Universe, https://doi.org/10.48550/arXiv.2311.16893
A. Pop, M. Crăciun, Detection and Detectability. The Case of TOI-763, submitted to New Astronomy
A. Pop, M. Crăciun, Detection and Detectability: Evidence for a Low Amplitude Orbital Period Modulation in the Algol-type Binary U Coronae Borealis
A. Stan, Role of partial functionals in the study of variational systems, https://arxiv.org/abs/2311.15552

Prizes, outstanding achievements

E. Cătinaș, has won the 2023 “Gr. Moisil” prize of the Romanian Academy for the paper E. Cătinaş, How many steps still left to x*?, SIAM Rev. 63 (2021) no. 3, pp. 585–624.
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

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)
I. Păvăloiu, deputy Editor-in-Chief of J. Numer. Anal. Approx. Theory (till August 2023) (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
I. Păvăloiu, deputy Editor-in-Chief of J. Numer. Anal. Approx. Theory (till August 2023)
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 2022), November 6-9, 2023 (organized by ICTP)
Fifth Romanian Itinerant Seminar on Mathematical Analysis and its Applications, Craiova, May 26-28, 2023 (co-organized by ICTP)
NANMAT Workshop for Young PhD students, November 25-26, 2023, Belis, Cluj (organized by ICTP).

Institute members in the scientific committees of international or national conferences

R. Precup, Fifth Romanian Itinerant Seminar on Mathematical Analysis and Its Applications, Craiova 26–28 May 2023. http://rismaa.ucv.ro/
O. Agratini, 17th International Conference on Applied Mathematics and Computer Science, Cluj-Napoca, July 11-13, 2023, http://tucn.ro/angheluta2023/

Institute members in the organizing committees of international or national conferences

R. Precup, The Tenth Congress of Romanian Mathematicians, June 30-July 5, 2023, Piteşti, Romania. (member in the organizing committee of Section 4) http://www.imar.ro/~congmatro10/index.html
R. Precup, Fifth Romanian Itinerant Seminar on Mathematical Analysis and Its Applications, Craiova 26–28 May 2023 (coordinator) http://rismaa.ucv.ro/
R. Precup, Mathematical Modelling Analysis and Simulation with Applications to Biomedical Processes (Workshop), Cluj-Napoca, October 9-10, 2023 (coorganizer)

Invited speakers:

N. Suciu, Random walk methods for reactive transport in porous media, invited talk at Karlstad Applied Analysis Seminar (KAAS), Karlstadt University, Sweden, February 8, 2023. Karlstad Applied Analysis Seminar (KAAS) | Karlstads universitet (kau.se)
R. Precup, Explicit and implicit control problems. A fixed point approach, International Meetings on Differential Equations and Their Applications, University of Technology, Lodz, Poland, 8 martie 2023, https://im.p.lodz.pl/IMDETA/index.php/schedule/summer-semester-2023
R. Precup, Energy-localization in Navier-Stokes models with reaction terms, The Tenth Congress of Romanian Mathematicians, Piteşti, June 30 – July 5. http://www.imar.ro/~congmatro10/index.html
R. Precup, Energy-localization in Navier-Stokes models, Workshop: Geometric Function Theory in Several Complex Variables and Complex Banach Spaces, Cluj- Napoca, December 1-2, 2023. https://math.ubbcluj.ro/workshop_gk/

Talks given/conferences attended by the members of the Institute

International conferences

O. Agratini, On a generalization of the Gauss-Weierstrass operators, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
I. Boros, Can AI aid in solving stiff ODEs? Harnessing physics-informed neural networks for stiff ordinary differential equations, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
E. Cătinaş, The speed of the strict superlinear convergence, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
M. Crăciun, On some methods of fitting models to observational data, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
M. Crăciun, T. Harko, Observational constraints on Weyl geometric gravity from the SPARC galactic rotation curves database, 7th International Conference in Astronomy, Astrophysics, Space and Planetary Sciences, 10-12 July 2023, Cluj Napoca, https://acad-cj.ro/acte/manifestari/ConferenceAbstractBook2023_RevVT.pdf
A. Pop, M. Crăciun, Orbital period variability of U CrB – a new approach, 7th International Conference in Astronomy, Astrophysics, Space and Planetary Sciences, 10-12 July 2023, Cluj Napoca, https://acad-cj.ro/acte/manifestari/ConferenceAbstractBook2023_RevVT.pdf
C.-I. Gheorghiu, Spectral collocation methods for some pseudo-parabolic problems. Numerical experiments, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
A. Malina, Combined Shepard operators applied in image reconstruction, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
A. Malina, An application of the Shepard operator in image reconstruction, 9th International Conference on Mathematics and Informatics (MathInfo), September 7-8, 2023, Târgu Mureș, Romania.
M. Nechita, Data assimilation for fluid-structure interaction. Applications to 4d-flow MRI, The Tenth Congress of Romanian Mathematicians, June 30 – July 5, 2023, Pitești, http://www.imar.ro/~congmatro10/
M. Nechita, Unique continuation for the Helmholtz equation using conforming FEM and physics-informed neural networks, Workshop: Simulation of data assimilation under a PDE constraint, Sorbonne Université, Paris, November 16-17, 2023, https://www.ljll.math.upmc.fr/delay/workshop_data_assimilation
M. Nechita, Unique continuation for the Helmholtz equation using conforming FEM and physics-informed neural networks, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
M. Nechita, Ill-posed data assimilation problems: analysis and numerics, Workshop “Mathematical Modelling, Analysis and Simulation with Applications to Biomedical Processes” – STAR-UBB (ubbcluj.ro), Cluj-Napoca, October 9-10, 2023.
D. Otrocol, Ulam stability of a partial differential operator in Banach spaces, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
D. Otrocol, On Ulam stability of a partial differential operator in Banach spaces, 59th International Symposium on Functional Equations, Hajdúszoboszló, Hungary, June 18-25, 2023.
D. Otrocol, Ulam stability of a partial differential operator in Banach spaces, 17th International Conference on Applied Mathematics and Computer Science, July 11-13, 2023, Cluj-Napoca, Romania, http://tucn.ro/angheluta2023/
R. Precup, Energy-localization in Navier-Stokes models, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
R. Precup, Control of cell evolution after bone marrow transplantation, Workshop “Mathematical Modelling, Analysis and Simulation with Applications to Biomedical Processes” – STAR-UBB (ubbcluj.ro), Cluj-Napoca, October 9-10, 2023.
A. Stan, Localization of Nash equilibria for systems with partial variational structure, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
N. Suciu, Random walk methods for reactive transport in porous media, The Tenth Congress of Romanian Mathematicians, June 30 – July 5, 2023, http://www.imar.ro/~congmatro10/ Piteşti, Romania
N. Suciu, Space–time upscaling of reactive transport in porous media, Numerical Analysis, Numerical Modeling and Approximation Theory (NANMAT 2023), November 6-9, 2023, Cluj-Napoca (virtual).
N. Suciu, F.A. Radu, J.S. Stokke, E. Cătinaş, A. Malina, Computational orders of convergence for Richards’ equation, ENUMATH 2023, September 4-8, Lisbon, MS39 | Numerical methods for nonlinear and coupled processes (flow, reactive transport and deformation) in porous media. https://enumath2023.com/

National conferences

O. Agratini, The misterious wavelet world, NANMAT Workshop for Young PhD Students, November 25-26, Beliş, Cluj.
M. Crăciun, Introduction to time series analysis, NANMAT Workshop for Young PhD Students, November 25-26, Beliş, Cluj.
C. -I. Gheorghiu, Spectral Collocation Solutions to some Linear Pseudo-parabolic Problems, ROMAI Annual Conference, Univ. Al. I. Cuza, Iaşi, Septembrie, 2023, CAIM 23 (romai.ro)
R. Precup, Localization of solutions for semilinear problems with poly-Laplace type operators, Fifth Romanian Itinerant Seminar on Mathematical Analysis and its Applications, Craiova, May 26-28, http://rismaa.ucv.ro/
N. Suciu, Stochastic simulations for diffusion processes, NANMAT Workshop for Young PhD Students, November 25-26, Beliş, Cluj.

Presentations at seminars

M. Nechita, Ill-posed problems for linear PDEs: analysis and numerics, Seminar de Analiză și Optimizare, Univ. Babes-Bolyai, 04.2023.
R. Precup, Existence results for some functional integrodifferential equations with state-dependent delay, Seminar on Nonlinear Operators and Differential Equations, Cluj-Napoca, 9 martie 2023. http://www.math.ubbcluj.ro/~nodeacj/soned.html
R. Precup, Localization of the enstrophy and kinetic energy in Navier-Stokes models with reaction terms, Seminar on Nonlinear Operators and Differential Equations, Cluj-Napoca 4 mai 2023.
R. Precup, Positive radial solutions for Dirichlet problems in the ball, Seminar on Nonlinear Operators and Differential Equations, Cluj-Napoca 19 octombrie 2023
R. Precup, Matematica in sprijinul stiintelor aplicate. Cazul specific al medicinei. Seminarul Studium Generale, Cluj-Napoca, 23 noiembrie 2023. https://www.youtube.com/watch?v=yfJ9L3fzCEc

Scientific collaborations

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);

Grants/contracts/scholarships

Subventionarea literaturii tehnico-stiintifice 2023 (37245 lei)

Peer review

Prof. dr. O. Agratini was (up to July 30, 2023) 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/habilitation evaluation committees

R. Precup, for thesis with title: Monotonicity and variational methods in Banach spaces with applications in differential equations driven by nonlinear operators, 2023, by Michal Beldzinski, Lodz University of Technology, Poland, March 8, 2023
O. Agratini, for thesis with title: Sublinear and monotone operators in approximation, by Iancu Ionuț Tudor, Oradea University, April 28, 2023.

Members of habilitation evaluation committees

R. Precup, for habilitation with title: Elliptic Problems Driven by Generalized Laplace Operators, 2023, by Maria-Magdalena Boureanu, University of Craiova, April 7
O. Agratini, for habilitation with title: Numerical methods in mathematical inequalities, by Bercu Gabriel Dumitru, Polytechnic University of Bucharest, July 18, 2023.

Members of PhD supervising committees

R. Precup for: C. Gheorghe (supervisor: A. Petrusel);
R. Precup for: F. 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: A. Malina (supervisor: T. Catinas)
R. Precup for: I. Buda (supervisor: T. Catinas)
O. Agratini for: Alin Fodor (supervisor C. Pintea);
O. Agratini for: A. Malina (supervisor: T. Cătinaș)
O. Agratini for: I. Buda (supervisor: T. Cătinaș)

Referee reports for peer reviewed/JCR international journals:

O. Agratini: Mathematica Slovaca, Applicable Analysis and Discrete Mathematics, Numerical Functional Analysis and Optimization, Mathematical Foundations of Computing, Hacettepe Journal of Mathematics and Statistics, Quaestiones Mathematicae.
E. Catinas: Studia Univ. Babes-Bolyai Math. (1), ICEMES2023 (1);
C.I. Gheorghiu: ???
M. Nechita: IMA Journal of Numerical Analysis (1), ESAIM: Mathematical Modelling and Numerical Analysis (1), Studia Universitatis Babeș-Bolyai Mathematica (1)
R. Precup: Journal of Optimization Theory (1); Fixed Point Theory (2); Results in Mathematics (1); Mathematica (3); Qualitative Theory of Dinamical Systems (4); Studia Universitatis Babes-Bolyai Mathematica (6);
N. Suciu: Computational and Applied Mathematics (3)

Referee reports for other peer reviewed international journals:

O. Agratini: Dolomites Research Note on Approximation (1), Applicable Analysis and Discrete Mathematics (1), Khayyam Journal of Mathematics (1).
N. Suciu: J. Numer. Anal. Approx. Theory (2)

Expert evaluators:

O. Agratini, for Grant ERG, Lucian Blaga University, Sibiu (May, 2023)

Book reviews:

R. Precup: ? book reviews –
M. Nechita: = book review +
I. Boros: 3 = book review + book review + book review.

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

R. Precup: ??
O. Agratini: ?? 10 reviews
C. Mustăța: ??

For ZBL Math:

R. Precup: ??
C.I. Gheorghiu: ??