Tiberiu Popoviciu Institute of Numerical Analysis

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Combinatorics

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List of publications
2005

Books

I. Pavaloiu, N. Pop, Interpolare si aplicatii, Editura Risoprint, Cluj-Napoca 2005, 322 pp., ISBN 973-651-028-3.

Papers in ISI journals

E. Catinas, The inexact perturbed and quasi-Newton methods are equivalent models, Math. Comp., 74 (2005) no. 249, pp. 291-301 (impact factor 2009: 1.598).
M.-C. Anisiu, G. Bozis, Families of orbits in planar anisotropic fields, Astron. Nachr., 326(1) (2005), 75-78.
G. Bozis, M.-C. Anisiu, A solvable version of the inverse problem of dynamics, Inverse Problems, v. 21 (2005), 487-497.
V. Mioc, M.-C. Anisiu, M. Barbosu, Symmetric periodic orbits in the anisotropic Schwarzschild-type problem, Celest. Mech. Dyn. Astron., 91 (2005), 269-285. (impact factor 2009: 1.811)
M.-C. Anisiu, The energy-free equations of the 3D inverse problem of dynamics, Inverse Probl. Sci. Eng. 13 (2005), 545-558.
B. E. Rhoades and S.M. Soltuz, The equivalence between the T-stabilities of Mann and Ishikawa iterations, J. Math. Anal. Appl., v. 318 (2006) no. 2, 472-475
N. Suciu, C. Vamos, H. Vereecken, J. Vanderborght, and H. Hardelauf, Numerical Modeling of Large Scale Transport of Contminant Solutes Using the Global Random Walk Algorithm, Monte Carlo Methods and Applications, 10(2), 153-177, 2004 (appeared in 2005).
V. Mioc, M.-C. Anisiu, M. Stavinschi, Symmetric periodic orbits in proto-stellar systems, Dynamics of Populations of Planetary Systems Series: Proceedings IAU Colloquium no. 197 2004, Z. Knezevic and A. Milani, eds., Cambridge University Press, 2005, 467-470, ISBN-10: 052185203X, ISBN-13: 978-0521852036 (ISI Proceedings).

Papers in international journals, indexed in Mathscinet and ZBL

S. M. Soltuz, The equivalence of Picard, Mann and Ishikawa iterations dealing with quasi-contractive operators, Math. Commun. 10 (2005), 81-88.
B. E. Rhoades and S.M. Soltuz, The convergence of a multistep iteration for a family of maps, Int. J. Math. & Math. Sci. (electronically published in 2005)
E. Catinas, The relationship between the models of perturbed Newton iterations, with applications, PAMM, 5 (2005) no. 1, pp. 785-786.
M. Craciun, On a class of approximation operators, Mathematical Sciences Research Journal, v. 9(11) (2005) 292-303.

Papers in proceedings of international conferences, published with ISBN

N. Suciu, J. P. Eberhard, and C. Vamos, Approximations for transport in heterogeneous media by periodic random fields, ergodicity and related topics, abstract EGU05-A-01164, European Geosciences Union - General Assembly 2005, Vienna, Austria, 24-29 April 2005.
E. Catinas, Sufficient convergence conditions for certain accelerated successive approximations, Trends and Applications in Constructive Approximation (Eds.) M.G. de Bruin, D.H. Mache and J. Szabados, International Series of Numerical Mathematics, v. 151, 2005 Birkhauser Verlag Basel, pp. 71-75, ISBN 3-7643-7124-2.

Preprints at international universities/institutes

N. Suciu, J. P. Eberhard, and C. Vamos, Approximations and ergodicity for transport in heterogeneous media by periodic random fields, Preprint 06/05, Forschungsverbund WIR Baden-Wurtenberg, Heidelberg, January 20, 2005.
M. Craciun and A. Di Bucchianico, Sheffer sequences, probability distributions and approximation operators, 25 pp, SPOR Report 2005-04, Department of Mathematics and Computer Science, Technische Universiteit Eindhoven.
C.I. Gheorghiu, Nonlinear Deterministic Dynamics with Applications, King Mongkut's Institute of Technology, Ladkrabang, Bangkok, Thailand, 53 pp., October, 2005.

Papers in journals monitored/ranked by CNCSIS

C. Mustata, On the extension of semi-Lipschitz functions on asymmetric normed spaces, Rev. Anal. Numer. Theor. Approx. 34 (2005) no.2 , 139-150.
I. Pavaloiu, Accelerating the convergence of the iterative methods of interpolatory type, Rev. Anal. Numer. Theor. Approx., 34: 2(2005), 169-173.
S.M. Soltuz, New technique for proving the equivalence of Mann and Ishikawa iterations, Rev. Anal. Numer. Theor. Approx., 34: 1(2005), 103-108.
B. E. Rhoades and S.M. Soltuz, The Mann and Ishikawa iterations and the Mann-Ishikawa with errors are equivalent models dealing with a non-Lipschitzian map, Rev. Anal. Numer. Theor. Approx., 34:2 (2005), 181-193.
S.M. Soltuz, On the boundedness of the associated sequence of Mann iteration for several operator classes with applications, Rev. Anal. Numer. Theor. Approx., 34:2 (2005), 227-232.
M.-C. Anisiu, Two and three-dimensional inverse problem of dynamics, Studia Univ. "Babes-Bolyai", Math. XLIX(4) (2004), 13-26 (appeared in 2005).
C.I. Gheorghiu, On the Spectral Properties of Chebyshev-Type Methods; Dimensions vs. Structure, Studia UBB Mathematica, v. L 2005 (1), 61-66.

Papers in other journals/proceedings, communications

N. Suciu, C. Vamos, P. Knabner, and U. Ruede, Biased global random walk, a cellular automaton for diffusion, in Simulationstechnique, 18-th Symposium in Erlangen, September 2005, Ed. Husemann, M. Kowarschik, and, U. Rude, pp. 562--567, SCS Publishing House e. V., Erlangen.
C. Vamos, A. Pop, V.V. Morariu, The power spectrum of series with correlated terms: a model for protein structure and mobility, Procese Izotopice si Moleculare, Cluj-Napoca, 22-24 Septembrie 2005.
E. Catinas, On the local convergence of the quasi-Newton methods, International Conference on Computational Methods in Science and Engineering (ICCMSE), 21-26 Octomber 2005, Loutraki, Greece.
E. Catinas, New results for the iterative methods in solving nonlinear systems and fixed point problems, IMACS Congres, Paris, 11-15 iulie, 2005.
M.-C. Anisiu, Families of orbits in conservative fields of Henon-Heiles type, Scientific Programs and Astronomy Education in SEE & Ukraine, 16-18 Sept. 2005, Bucharest.
C.I. Gheorghiu, On the Normality of Spectral Approximations of Boundary and Eigenvalue Problems, CAIM 2005, Univ. Pitesti, Octomber 2005.
C.I. Gheorghiu, On the Non-Normality of Matrices Associated to Chebyshev Spectral Methods, Second International Conference, August 12-15, 2005, Plovdiv, Bulgaria.
M.-C. Anisiu, Miscare haotica ïn sisteme mecanice, Contributie la predarea matematicii, Simpozionul National Didactica Matematicii, Ed. D. Duca et al, Turda 2005, Editura JRC, pp. 8-9.
C.I. Gheorghiu, The Non-Normality of Chebyshev Spectral Approximation, Fourth International Workshop on Scientific Computing & Applications (SCA05), June 20-23, 2005, Shanghai Jiotong University and Shanghai Normal University, China.