Tiberiu Popoviciu Institute of Numerical Analysis

Romanian Academy

Since 1951

Founded in 1951 by T. Popoviciu

Research fields

Numerical Analysis & Modeling

Most notable

invent. B-splines (nonunif. grids)

This year the Institute celebrates 70 years from its foundation.

The symposium 70 years from the foundation of the „Tiberiu Popoviciu” Institute of Numerical Analysis will be organized  on October 28, 2021, in the frame of Academic Days of Cluj-Napoca 2021.

Notable results

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

Works, categorized -as posts- by

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Birkhäuser/Springer

Springer

Springer

Lambert

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Supercomputing experience

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

chevron_rightSupercomputing
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Journal of Numerical Analysis and Approximation Theory

A peer-reviewed journal since 1972.

chevron_rightJ. Numer. Anal. Approx. Theory
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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 (Technion Univ., Israel).

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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.
arrow_rightInstitute History
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arrow_rightCluj team on NAAT

The tree of the PhD descendants of T. Popoviciu, G. Călugăreanu and D.V. Ionescu.

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The first ionic implantation device from Romania

In the seventies was constructed a ionic implantation device.

It was subsequently improved at ITC, in 1976.

(to be completed)

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Announcements

Publications

How many steps still left to x*?

(original), (survey), Convergence orders, Fixed point theory, history, ISI/JCR, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, secant/chord method, successive approximations
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Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac {|x^\ast – x_{k+1}|}{|x^\ast – x_k|^{p_0}}\in(0,+\infty), \end{equation} \begin{equation}\tag{$Q$} \lim \frac {\ln…
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