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.

A symposium will be organized on this occasion.

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*?

Emil Cătinaş
(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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