Domains of interest:

65D05 Interpolation

65F10 Iterative methods for linear systems

65F15 Eigenvalues, eigenvectors

65L06 Multistep, Runge-Kuta and extrapolation methods

65M06 Finite differences method

76F05 Isotropic turbulence; homogeneous turbulence

Publications:

1.     PhD Thesis: 

T1 R. Militaru, Étude des phénomènes turbulentes par la Méthode des Échelles Multiples, University ”Jean  Monnet”, 27/04/1999, St-Etienne, France (99/STET/4007 ANRT, France).

     Advisors: prof. Horia ENE, IMAR Bucharest, Romania

                   prof. Claude CARASSO, University “Jean Monnet”, St-Etienne, France

2.     Books:

C1 R.Militaru, Méthodes Numériques –Théorie et applications, Ed. Sitech, Craiova, 306 pag., 2008, ISBN 978-973-746-767-6

C2 R. Militaru,  Étude et modélisation des phénomènes turbulents en mécanique des fluides newtoniens, Ed. Sitech (recognized CNCSIS),  Craiova, 206 pag., 2005, ISBN 973-657-868-2

C3 R. Militaru,  Méthodes Numériques, Ed. Sitech, Craiova, 279 pag., 2003, ISBN 973-657-393-1

C4 R. Militaru, M. Popa, Metode Numerice – Note de curs, Ed. Sitech, Craiova, 251 pag., 2007, ISBN 978-973-746-511-5

C5 G. Vraciu, R. Militaru, O. Burci, Metode Numerice şi Statistică Matematică, Ed. Sitech, Craiova, 290 pag., 2006, ISBN 978-746-244-0.

3.      Papers in international journals:

R1. R. Militaru, On the Newton’s iterative method for the characteristic equation of a real symmetric matrix, IEEE Computer Soc., Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2006), ISBN 0-7695-2740-x, pg. 175-180, 6 pag., 2006

R2. R. Militaru, On the velocity modeling in the wall region of the turbulent boundary layer, Int. J. Appl. Math., vol. 17, no.3, ISSN 1311-1728, pg. 287-298, 12 pag., 2005.

R3. R. Militaru, On the numerical resolution of the systems of nonlinear equations using a descent like-method, Int. J. Pure Appl. Math., vol. 25, no. 3, ISSN 1311-8080, pg. 423-431, 2005.

R4.  R. Militaru, M.M. Militaru, On the 1D numerical modeling of the blood flow in large arteries, Int. J. Comput. Numer. Anal. Appl., vol. 6, no.1, ISSN 1311-6789,  pg. 77-90, 2005.

R5. R. Militaru, On the turbulent modeling by homogeneization for an incompressible viscous flow over rough boundaries, Gakuto International Series Math. Sci. Appl., vol.24, ISBN 4-7625-0433-5, pg. 207-216, 2005.

4.   Papers in international proceedings:

Vi1.  R. Militaru, On the Newton’s iterative method for the characteristic equation of a real symmetric matrix, 8^th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing SYNASC 2006, organized by the Department of Computer Science West University, Timişoara, Romania, the Research Institute for Symbolic Computation, University Johannes Kepler, Linz,

Austria, the Institute e-Austria, Timişoara, Romania, pg. 142-145, 26-29   September, 2006

Vi2. R. Militaru, M.M. Militaru, On the 1D numerical modeling of the blood flow in large arteries, Second International Conference of Applied Mathematics, Plovdiv, Bulgaria, August 12-17, 2005 (invited lecture)

5.      Congres and invited seminaries:

S1. R. Militaru, L’helicié dans la modélisation turbulente de l’interaction des petites-grandes structures par l’intermediaire de la Méthode des Échelles Multiples, 9-eme Colloque Franco-Roumain de Mathématiques Appliquées, Brasov, România,   28 august-2 september, 2008.

S2. R. Militaru, Écoulements sur des parois rugueuses: modélisation à l’aide de la  Méthodes des Échelles Multiples, Seminaire d’Analyse Numérique et Calcul   Scientifique, Équipe d’Analyse Numérique et Calcul Scientifique, Université de Franche-Comté, Besancon, France, 07 februarie 2008.

S3. R. Militaru, Sur l’analyse asymptotique d’un écoulement à grande nombre de Reynolds dans un canal ayant la section variable. 8-ième Colloque Franco-Roumain de Mathématiques Appliquées, Chambery, 28 août-1^er septembre 2006, France.

6.    Grants:

P1. International grant PICS „Modélisation des Structures et des Processus en Biologie”, project manager: prof. dr. Gregory PANASENKO, Director of the Department of Mathematics „LaMUSE” of University „J. Monnet”, St-Etienne, France, 2005.

P2. Post-doctoral fellowship P6-420/3272 07/06/2004 (project research contest) from AUF (Agence Universitaire de la Francophonie) at the Department of Mathematics „LaMUSE” of University „J. Monnet”, St-Etienne, France, 01/02/2005-30/07/2005. 

7. Computational software:

Numerical Engineering Software