## 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)

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

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.

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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.
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The tree of the PhD descendants of T. PopoviciuG. 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)

## Announcement: a recent publication (2022) in the top journal “Numerische Mathematik”

Announcements
Mihai Nechita has recently published a paper in Numerische Mathematik, one of the top* journals in “Mathematics, Applied”. The paper has been written in collaboration with Erik Burman and Lauri…

## Conference of the Scientific Research from the Romanian Academy (CCSAR-2021)

Announcements
The Romanian Academy is organizing on November 22-23, The Conference of the Scientific Research from the Romanian Academy (CCSAR-2021) Some of the researchers from the Institute will have some talks,…

Announcements

## On high-order conforming finite element methods for ill-posed Helmholtz problems

Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first review the conditional stability of this problem and then discuss…

## Tikhonov regularization of a perturbed heavy ball system with vanishing damping

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection to the minimization problem of a convex Fréchet differentiable function.…

## Global Random Walk Solutions for Flow and Transport in Porous Media

AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks on regular lattices. The hydraulic head is represented by computational…
Abstract The high speed of $$x_{k}\rightarrow x^\ast\in{\mathbb R}$$ is usually measured using the C-, Q- or R-orders: $$\tag{C} \lim \frac {|x^\ast – x_{k+1}|}{|x^\ast – x_k|^{p_0}}\in(0,+\infty),$$ \tag{$Q$} \lim \frac {\ln…