Institute annual report 2022

version of February 16, 2023.

Human resources

The Numerical Analysis and Approximation Theory workgroup:

The Numerical Modeling workgroup:

Docs/postdocs:

Doctoral students in 2022: Imre Boros, Andrei Stan, Andra Malina, Eduard Grigoriciuc

Postdoc students in 2022: Dr. Mihai Nechita

PhD advisors

Prof. dr. Radu Precup, corresponding member of the Romanian Academy
PhD students (2022):

  1. Andrei Stan (Nash type equilibria for systems of nonlinear equations);
  2. Alexandru Hofman (Control problems for systems of Kolmogorov type);
  3. Alexandru Orzan (Parametric methods for problems of fractional optimization);
  4. 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):

  1. Imre Boros (Numerical methods for partial differential equations)

Dr. rer. nat. habil. Nicolae Suciu

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

Papers published in 2022

Papers in JCR journals from abroad

Papers in JCR journals from Romania

Papers published in other journals

Preprints in Arxiv

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

JCR/ISI journals from Romania

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

Other journals from Romania

Conferences

Conferences organized by the Institute

Institute members in the scientific committees of international conferences

Invited speakers: R. Precup (at 4 conferences)

Talks given/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, Numerical Analysis, Numerical Modeling and Approximation Theory (NA-NM-AT 2022), 26 – 28 October 2022, Cluj-Napoca (online) Academic Days of Cluj-Napoca 2022  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/
  • E. Cătinaş, On the convergence orders, Numerical Analysis, Numerical Modeling and Approximation Theory (NA-NM-AT 2022), 26 – 28 October 2022, Cluj-Napoca (online) – The Academic Days of Cluj-Napoca https://ictp.acad.ro/nanmat-2022/
  • 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, Numerical Analysis, Numerical Modeling, Approximation Theory NANMAT-2022 (Academic Days of Cluj-Napoca), October 26-28, 2022, https://ictp.acad.ro/nanmat-2022/
  • C.I. Gheorghiu, On Chebyshev collocation solutions to the Liouville-Bratu-Gelfand problems, Numerical Analysis, Numerical Modeling, Approximation Theory NANMAT-2022 (Academic Days of Cluj-Napoca), October 26-28, 2022, https://ictp.acad.ro/nanmat-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, Numerical Analysis, Numerical Modeling, Approximation Theory NANMAT-2022 (Academic Days of Cluj-Napoca), October 26-28, 2022, https://ictp.acad.ro/nanmat-2022/
  • 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, Uniform approximation by certain linear approximation processes, 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, Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2022), Cluj-Napoca, 26–28 October 2022, https://ictp.acad.ro/nanmat-2022/

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 November 2022; https://studmathit.uav.ro/
  • E.S. Grigoriciuc, The Graham-Kohr extension operator and subclasses of biholomorphic mappings in Cn, The 14th Joint Conference on Mathematics and Computer Science (14th MaCS), Facultatea de Matematica si Informatica, Universitatea “Babes-Bolyai” Cluj-Napoca, Romania, 24 – 27 November 2022; https://www.cs.ubbcluj.ro/~macs/2022/
  • E.S. Grigoriciuc, The Graham-Kohr extension operator and subclasses of biholomorphic mappings in CnWorkshop 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 December 2022; http://math.ubbcluj.ro/workshop_gk/

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 October 2022; http://math.ubbcluj.ro/~gctf/
  • E.S. Grigoriciuc, Eigenvalues and Eigenvectors: general properties and applications, Seminar ICTP, 9 November 2022;
  • E.S. Grigoriciuc, Matrix exponentials. Pseudospectra of matrices, Seminar ICTP, 14 Decembrie 2022;
  • A. Malina, -eigenvalues-, Seminar ICTP, November 9, 2022
  • I. Buda, -eigenvalues-, Seminar ICTP, November 9, 2022
  • A. Stan, -eigenvalues-, Seminar ICTP, November 9, 2022

International scientific collaborations

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:

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

R. Precup, for Mathematical Reviews:

  • MR4382568, for the paper: Le, Vy Khoi, On inclusions with monotone-type mappings in nonreflexive Banach spaces. J. Optim. Theory Appl. 192 (2022), no. 2, 484–509.
  • MR4308919, for the paper: 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, for the paper: 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, for the paper: D. O’Regan, Essential weakly Mönch type maps and continuation theory, Fixed Point Theory 22, 779-784 (2021).
  • Zbl 07488598, for the paper: K. Bołbotowski; G. Bouchitté, Optimal design versus maximal Monge-Kantorovich metrics, Arch. Ration. Mech. Anal. 243, 1449-1524 (2022).
  • Zbl 07496918, for the paper: M. Bekiri; M. Benalili, Sign-changing solutions for elliptic problem involving the sixth order GJMS operator on compact manifold, NoDEA, Nonlinear Differ. Equ. Appl. 29, Paper No. 22, 24 p. (2022).
  • Zbl 07538687, for the paper: V.V. Abramov, 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, for the paper: 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 07609832, for the paper: S. Bartels; R. Tovey; F. Wassmer, Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1871-1888 (2022).
  • Zbl 07608226, for the paper: Jiang, Run; Li, Yonglin; Wu, Haijun; Zou, Jun, Finite element method for a nonlinear perfectly matched layer Helmholtz equation with high wave number. SIAM J. Numer. Anal. 60, No. 5, 2866-2896 (2022).
  • Zbl 07600701, for the paper: S. Köhler; O. Rheinbach, Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach. Vietnam J. Math. 50, No. 4, 1053-1079 (2022).
  • Zbl 1498.65212, for the paper: N. Giuliani; M.W. Hess; A. Desimone; G. Rozza, MicroROM: an efficient and accurate reduced order method to solve many-query problems in micro-motility, ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151-1172 (2022).
  • Zbl 1497.65179, for the paper: M.J. Picklo; K.J. Ryan, Enhanced multiresolution analysis for multidimensional data utilizing line filtering techniques, SIAM J. Sci. Comput. 44, No. 4, A2628-A2650 (2022).
  • Zbl 07574500, for the paper: A. Rieder; F-J. Savas; J.M. Melenk, Time domain boundary integral equations and convolution quadrature for scattering by composite media, Math. Comput. 91, No. 337, 2165-2195 (2022).
  • Zbl 1497.65244, for the paper: K. Jiang; W. Si; J. Xu, Tilt grain boundaries of hexagonal structures: a spectral viewpoint, SIAM J. Appl. Math. 82, No. 4, 1267-1286 (2022).
  • Zbl 1496.65209, for the paper: C. Carstensen; R. Khot; A.K. Pani, A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems, Numer. Math. 151, No. 3, 551-600 (2022).
  • Zbl 1496.65206, for the paper: O. Balcells-Quintana; D. Codony; S. Fernández-Méndez, Co-IPM with generalised periodicity and application to flexoelectricity-based 2D metamaterials, J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022).
  • Zbl 1497.65217, for the paper: A. Aretaki; E.N. Karatzas; G. Katsouleas, Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems, J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022).
  • Zbl 1496.76089, for the paper: B. Zheng; J. Qin; Y. Shang, Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations, Adv. Comput. Math. 48, No. 3, Paper No. 35, 35 p. (2022).
  • Zbl 1492.65302, for the paper: P. Chuchard; D. Prathumwan; I. Chaiva; K. Trachoo, Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: a finite element simulation, Results Appl. Math. 14, Article ID 100266, 14 p. (2022).
  • Zbl 1492.65314, for the paper: E.L. Kawecki; I. Smears, Convergence of adaptive discontinuous Galerkin and C0-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations, Found. Comput. Math. 22, No. 2, 315-364 (2022).
  • Zbl 1496.65228, for the paper: W. Wang; Z. Zhang, Spectral element metehods for eigenvalue problems based on domain decomposition, SIAM J. Sci. Comput. 44, No. 2, A689-A719 (2022).
  • Zbl 1489.65158, for the paper: I.G. Gierde, L.R. Scott, Nitsche’s method for Navier-Stokes equations with slip boundary conditions, Math. Comput. 91, No. 334, 597-622 (2022).
  • Zbl 1489.65157, for the paper: F. Dassi; J. Gedicke; L. Mascotto, Adaptive virtual element methods with equilibrated fluxes, Appl. Numer. Math. 173, 249-278 (2022).
  • Zbl 07461199, for the paper: Q. Guo; H. Rui, Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids, J. Math. Anal. Appl. 509, No. 1, Article ID 125943, 25 p. (2022).
  • Zbl 1484.76043, for the paper: X. Liu; N.R. Morgan; E.J. Lieberman; D.E. Burton, A fourth-order Lagrangian discontinous Galkerin methods using a hierarchical orthogonal basis on curvilinear grids, J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022).
  • Zbl 1496.65229, for the paper: V. Dominguez; M. Ganesh, Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media, Appl. Numer. Math. 171, 76-105 (2022).