### Academic degree:

Ph.D. in Mathematics (1999)

### Current position:

Head of “Tiberiu Popoviciu” Institute of Numerical Analysis (ICTP)

Senior researcher (I) at ICTP

### Domains of research:

Current:

- Numerical analysis of ordinary/partial differential equations (in progress)
- Numerical analysis of iterative methods for solving nonlinear problems
- Newton type methods for solving systems of nonlinear equations
- the method of successive approximations for fixed points

- Numerical Linear Algebra
- Krylov methods for solving large linear systems in R
^{n} - eigenproblems solved by Newton-type iterations

- Krylov methods for solving large linear systems in R
- Programming in Matlab and C for numerical tests.

Past:

- Computer graphics

### Recent/relevant/cited papers:

- I. Păvăloiu, E. Cătinaş,
*On a robust Aitken–Newton method based on the Hermite polynomial*, Appl. Math. Comput.,**287-288**(2016), pp. 224-231. (freely available at ScienceDirect) - E. Cătinaş,
*Estimating the radius of an attraction ball*, Appl. Math. Lett.,**22**(2009) no. 5, pp. 712-714, (freely available at ScienceDirect; tech. rep. here). - E. Cătinaş,
*The inexact, inexact perturbed and quasi-Newton methods are equivalent models*, Math. Comp.,**74**(2005) no. 249, pp. 291-301 (freely available at AMS; tech. rep.here). - E. Cătinaş,
*On the superlinear convergence of the successive approximations method*, J. Optim. Theory Appl.,**113**(2002) no. 3, pp. 473-485 (freely available at Springer; tech. rep. here). - E. Cătinaş,
*Inexact perturbed Newton methods and applications to a class of Krylov solvers*, J. Optim. Theory Appl.,**108**(2001) no. 3, pp. 543-570 (freely available at Springer; tech. rep. here). - E. Cătinaş,
*On some iterative methods for solving nonlinear equations*, Rev. Anal. Numér. Théor. Approx.,**23**(1994) no. 1, pp. 47-53 (pdf file also here).

(version of April 23, 2017)