Tiberiu Popoviciu Institute of Numerical Analysis

Since 1951

Founded in 1951 by T. Popoviciu

Research fields

Numerical Analysis & Modeling

Most notable

invent. B-splines (nonunif. grids)

D.V. Ionescu 125 Conference

The Faculty of Mathematics and Computer Science (Babes-Bolyai University) and Tiberiu Popoviciu Institute of Numerical Analysis organize the Tribute Conference Dumitru V. Ionescu – 125 years

The event will take place on June 16, 2026, at 12:00 PM, in the Tiberiu Popoviciu Amphitheater (Room 5/I), Central Building of Babeș-Bolyai University.

https://us06web.zoom.us/j/83174831334?pwd=9ZSQzkwCoAj9PB6tZvQUKoHXpKVIqD.1

The institute has organized during 3-6 November 2025 the international conference Numerical Analysis, Numerical Modeling, Approximation Theory (NA-NM-AT 2025) as part of the 2025 edition of the Cluj Academic Days.

The conversion of the LaTeX files into HTML (with their posting on the website) has been started for the scientific papers published in the last 10 years (see, e.g., paper1, paper2, paper3, paper4, paper5, paper6, etc.).

This operation is required in order to improve the interaction of our website with the search engine, as this standard is de facto for certain publishing houses (e.g., Springer, Elsevier, etc.).

This process has been finalized for the papers published since 2010 in the journal edited at ICTP, J. Numer. Anal. Approx. Theory.

The institute has started recovering and posting its Annual Reports, since its foundation, in 1951.

The list of papers are completed for the years 1951-1956, 1957-1975 (in progress), 1976-1989 (March 7, 2024), while the full activity reports of 1990-present were already posted for some years.

Here we see the first page of the Annual Report of 1957, when the Institute started to build electronic computers (see the history page).

One of the most viewed pages87%
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Institute history (please use your browser translator).

Notable results

  • Papers (in journals: SIAM Rev., Numer. Math., Math. Comp., Found. Comput. Math., J. Comp. Phys., Adv. Water Res.,…)
  • Books (in: Springer, Birkhauser,…)
  • Survey, JCR/ISI,… papers
  • Honors,…

Works, categorized -as posts- by

Birkhäuser/Springer

Springer

Springer

Lambert

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Supercomputing experience

Cooperation agreements with Forschungszentrum Jülich (Germany), allowing numerical applications on supercomputers.

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Journal of Numerical Analysis and Approximation Theory

A peer-reviewed journal since 1972 (last year, in 2022, it has celebrated its semicentennial). Covered by Scopus since 2022.

cover JNAAT
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acad. Tiberiu Popoviciu

 

One of the greatest Romanian mathematicians.

One of the Romanian computer pioneers.

Appears in the select History of Approximation Theory.

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Some of the first electronic computers in Romania built here:

  • MARICA, ’59, relay computer;
  • DACICC-1, ’63, 3rd in Romania, but 1st with transistors & RAM memory;
  • DACICC-200, ’68, most powerful Romanian computer; 1st with OS & compiler.
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The tree of the PhD descendants of T. PopoviciuG. Călugăreanu and D.V. Ionescu.

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LinkedIn
YouTube

Seminar Talks

Announcements

D.V. Ionescu 125 Conference

Tribute Conference D.V. Ionescu – 125 years

Announcements, Conferences
The Faculty of Mathematics and Computer Science of Babeș-Bolyai University and the Tiberiu Popoviciu Institute of Numerical Analysis cordially invite you to attend the commemorative session dedicated to Professor Dumitru…

Radu Precup invited speaker at the International Conference on Elliptic and Parabolic Problems: GAETA-2026

Announcements
Radu Precup gave a talk as invited speaker at the International Conference on Elliptic and Parabolic Problems: GAETA-2026 organized in Italy during 25.05.2026 – 29.05.2026. This conference is a sequel…

Rareș Răhăian: The elliptic Cauchy problem with applications in Electrocardiographic Imaging (ECGi) (Seminar Talk)

Announcements
On Wednesday 20th of May 2026 and Wednesday 27th of May 2026 starting at 10am, Rareș Răhăian will give a two-part talk at the Institute Seminar. Title: The elliptic Cauchy problem with…

Publications

On a generalization of the Stancu-Schurer operator of higher order

(original), Approximation Theory, Numerical Analysis, paper
Abstract   AuthorsKeywordsReferencesPDFScanned paper. Latex version of the paper. About this paperCite this paper as:JournalStudii şi cercetări matematice Publisher NameAcademia Republicii S.R. DOINot available yet. Print ISSNNot available yet. Online…

Convex functions

Books, convexity, divided differences, html, Mathematical Analysis, not-at-ICTP, Numerical Analysis, PDF, works
Abstract AuthorsTiberiu Popoviciu Tiberiu Popoviciu Keywordsconvex functions of higher order. Paper coordinatesT. Popoviciu, Les fonctions convexes, Hermann, Paris, 1944 (in French). PDF1944-a -182 -Popoviciu- Actualites scientifiques et industrielles 992 – Les…

On best approximation of the continous functions by polynomials

approximation of multivariate functions, approximation of univariate functions, Approximation Theory, best approximation, Books, html, Modulus of continuity, modulus of smoothness, not-at-ICTP, Numerical Analysis, remainder estimation, works
Abstract AuthorsTiberiu Popoviciu Tiberiu Popoviciu Keywords? Paper coordinatesT. Popoviciu, On the best approximation of continuous functions by polynomials, Cluj, Editura Ardealul, 1937. PDF1937 a -135- Popoviciu- Monografii Matematice – Despre…

Numerical Analysis. Introductory notions of approximate calculations

Books, Numerical Analysis, works
Abstract AuthorsT. Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Analiză numerică, vol. 1, Noţiuni introductive de calcul aproximativ, Academia R.S.R., Filiala Cluj, Institutul de Calcul, 248 pp. (litografiat) (in Romanian).…

Solving polynomial operator equations of degree 2 by Steffensen-type iterations with approximate inverses

(proceedings), Convergence order, eigenvalue/eigenvector problems, html, nonlinear systems in Rn, Numerical Analysis, numerical linear algebra, paper, PDF, Schulz type iterations, solving F(x)=0 iteratively, Steffenssen methods, works
Abstract AuthorsI. Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Ion Păvăloiu Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis) Emil Cătinaş Keywords? Paper coordinatesE. Cătinaş, I. Păvăloiu, Solving polynomial operator…