Annual report 2000

Human resources

• I. Păvăloiu
• C. Mustăța
• E. Catinas
• C.I. Gheorghiu
• C. Vamos
• N. Suciu
• M.C. Anisiu
• M. Crăciun
• A. Muresan
• S. Șoltuz
• A. Curseu

Publications

Books

• C. Mustăţa, M. Bărbosu, Algebra, analytic geometry and tensorial calculus. Editura Dacia, Cluj-Napoca, 2000.

Papers

• C. Vamoş, N. Suciu and W. Blaj, Derivation of one-dimensional hydrodynamic model for stock price evolution, Physica A 287, 461-467 (2000). (IF 1.2) (pdf)
• C. Vamoş, N. Suciu, H. Vereecken, U. Jaekel, H. Schwarze, Random Walkers Cellular Automata for Diffusion Processes, Z. Angew. Math. Mech. (ZAMM) 80, S367-68 (2000). (IF 0.4)
• M.-C. Anisiu, G. Bozis, Programmed motion for a class of families of planar orbits, Inverse Problems 16 (2000), 19-32
• I. Păvăloiu, On the Chebyshev method for approximating the solutions of polynomial operator equations of degree 2, Bul. Ştiinţ. Univ. Baia Mare, 16 (2000) no. 2, pp. 219-224.
• I. Păvăloiu, Optimal efficiency index of a class of Hermite iterative methods with two steps, Rev. Anal. Numér. Théor. Approx., 29 (2000) no. 1, pp. 83-89.
• I. Argyros, E. Cătinaş, I. Păvăloiu, Perturbed-Steffensen-Aitken projection methods for solving equations with nondifferentiable operators, Punjab Univ. J. Math. (Lahore), 33 (2000), pp. 105-113 (link to the journal).
• I. Argyros, E. Cătinaş, I. Păvăloiu On the approximate solutions of implicit functions using the Steffensen method, Proyecciones, 19 (2000) no. 3, pp. 291-303 (link to the journal).
• I.K. Argyros, E. Cătinaş, I. Păvăloiu, On the convergence of Steffensen Aitken-like methods using divided differences obtained recursively, Adv. Nonlinear Var. Inequal., 3 (2000) no. 1, pp. 7-13.
• C. Mustăţa, Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces, Bul. Ştiinţ. Univ. Baia Mare, Seria B, Fascicola matematică-informatică, 16 (2000) no. 2, pp. 207-212.
• C. Mustăţa, Some remarks concerning norm preserving extension and best approximation, Rev. Anal. Numer. Theor. Approx., 29 (2000) No. 2, pp. 173-180.
• G. Bozis, M.-C. Anisiu, Cristina Blaga, A solvable version of the direct problem of Dynamics, Rom. Astron. J. 10 (1) (2000), 59-70
• M.-C. Anisiu, Families of similar orbits in the inverse problem of Dynamics, Proceedings of the Itinerant Seminar T. Popoviciu of Functional Equations, Approximation and Convexity, Cluj-Napoca, 23-29 May 2000, ed. E. Popoviciu, Srima, 2000, 9-18 (pdf file here)
• C.I. Gheorghiu, D. Trif, On the bifurcation and variational approximation of the positive solution of a nonlinear reaction-diffusion problem, Studia Univ. Babeş-Bolyai Math., XLV (2000) 29-37.
• E. Borşa, C.I. Gheorghiu, On the Marangoni flow on an inclined plane, Bul. Inst. Politehnic din Iaşi, Supliment Mecanica Fluidelor, XLVI(L) (2000) 61-64.
• E. Borşa. C. I. Gheorghiu, On the Marangoni and gravity flow in an inclined channel of an arbitrary section, Rev. Roum. Sci Techn.-Mec. Appl., 45 (2000) 255-264.
• C.I. Gheorghiu, A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics, Rev. Anal. Numér. Théor. Approx., 29 (2000) 135-138.
• C.I. Gheorghiu, D. Trif, The numerical approximation to positive solution for some reaction-diffusion problems, PU.M.A., 11 (2000) no. 2, 243-253.
• C. Vamoş, N. Suciu, H. Vereecken, O. Nitzsche and H. Hardelauf, Global random walk simulations of diffusion in unbounded domains, Internal Report No. 502000, Forschungszentrum Jülich/ICG-4, September 2000.
• N. Suciu (2000), On the Misra-Prigogine-Courbage theory of irreversibility 2. The existence of the nonunitary similarity, Buletin ştiintific, Seria Mat. Inf. (Univ. Piteşti), 6, 213-222
• E. Cătinaş, A note on the quadratic convergence of the inexact Newton methods, Rev. Anal. Numér. Théor. Approx., 29 (2000) no. 2, pp. 129-133.
• I. Argyros, E. Cătinaş, I. Păvăloiu On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term, Adv. Nonlinear Var. Inequal., 3 (2000) no. 1, pp. 15-21.
• I. Argyros, E. Cătinaş, I. Păvăloiu, Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure, Adv. Nonlinear Var. Inequal., 3 (2000) no. 1, pp. 23-35.
• Ş.M. Şoltuz, Sequences supplied by inequalities, Rev. Anal. Numer. Theor. Approx. 29 (2000) no. 2, 207-212.
• A. Miranville and A.C. Mureṣan, The uncentered type incremental unknowns for a singularly perturbed bilocal problem, Rev. Anal. Numer. Theor. Approx., 29 (2000) 2, 161-171.
• St. M. Soltuz, Two Multivalued Maps, OCTOGON Mathematical Magazine 8:1 (2000), 181-182.
• St. M. Soltuz, A Sequence Given by a Inequality, OCTOGON Mathematical Magazine 8:1 (2000), 171-172.
• St. M. Soltuz, An Introduction to Multivalued Maps, OCTOGON Mathematical Magazine 8:2 (2000), 486-490.
• St. M. Soltuz, Mean Value in Iteration, OCTOGON Mathematical Magazine 8:2 (2000), 492-494.
• St. M. Soltuz, A Property of Measurable Functions, OCTOGON Mathematical Magazine 8:2 (2000), 495-497
• St. M. Soltuz, Properties for Multivalued Maps, OCTOGON Mathematical Magazine 8:2 (2000), 500-501.

Organized conferences

• Zilele Academice Clujene 2000

Attended conferences

• Mira-Cristiana Anisiu, The inverse problem of dynamics, 7 th Conference on Applied Mathematics and Mechanics, 7-10 sept. 2000, Technical University of
  Cluj-Napoca.
• Ion Pavaloiu, Metode bilaterale de tip Steffensen pentru aproximarea radacinilor ecuatiilor scalare, ICAM 2 (Second International Conference on Applied
  Mathematics) octombrie 19-21, 2000, Baia-Mare.
• Costica Mustata, Cateva observatii privincd extensia cu pastrarea normei si ceea mai buna aproximare, Zilele Academice Clujene, simposionul Metode
  numerice, optimizare si aproximare, 14-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”.
• Costica Mustata, Unicity of extension of semi-Lipschitz Real Functions, ICAM 2 (Second International Conference on Applied Mathematics), Baia
  Mare 19-21 oct. 2000.
• Costica Mustata, Despre extensia functiilor semi-Lipschitz. Simpozionul Comemorativ “T. Popoviciu” 26-29 oct. 2000.
• Vamos, C., N. Suciu, W. Blaj, Derivation of One-Dimensional Hydro-dynamic Model for Stock Price Evolution, 229 WE-Heraeus-Seminar Economic
  Dynamics from the Physics Point of View, Bad Honnef (Germany), 27-30 March 2000.
• Suciu, N., C. Vamos, H. Vereecken, Modelarea riumerica a difuziei in campuri aleatoare prin mers la intamplare global, Zilele Academice
  Clujene, simposionul Metode numerice, optimizare si aproximare, 14-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”.
• Vamos, C., V. Soporan, C. Pavai, Influenta eliberarii caldurii latente asupra deplasarii frontului de solidificarc, Zilclc Academice Clujene, simpozionul Metode numerice, optimizare si aproximare 14-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”.
• Pavai, C., M. Maier, C.Vamos, T. Gherman, Model numeric pentru evaluarea gradului de instabilitate a maselor de aer, Sesiunea anuala de comunicari stiintifice, Institutul National de Meteorologie, Hidrologie si Gospodarirea a Apelor, Bucuresti, 26-28 iunie 2000.
• Vamos, C., N. Suciu, H. Vereecken. O. Nitzsche, H. Hardelauf, Global Random Walk Numerical Models forDiffusion, XIII International Congres of Mathematical Physics, London (UK), july 17-22, 2000.
• Vamos, C., N. Suciu, H. Vereecken, O. Nitzsche, H. Hardelaul, Global Random Walk Simulations of Diffusion in Unbounded Domains, SCAN2000/INTERVAL 2000, Karlsruhe (Germany), September 19-22, 2000.
• Emil Catinas, Conovergenta cu ordin inalt a metodei Newton-GMBACK, The 7-th conference on applied mathematics and mechanica, 7-10 sept. 2000, Tehnical University of Cluj-Napoca.
• Emil Catinas, Convergenta unei metode de tip Newton-Krilov, Zilele Academice Clujene, simposionul Metode numerice, optimizare si aproximare, 14-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”.
• Alina Curseu, O caracterizare a solutiilor eficiente ale unei probleme de optimizare multicriteriala, Zilele Academice Clujene, simposionul Metode numerice, optimizare si aproximare, 14-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”
• Adrian Cristian Muresan, Nicolae Neuss, Metoda necunoscutelor de crestere pentru rezolvarea ecuatiilor eliptice anisotropice, Zilele Academice Clujene, simposionul Metode numerice, optimizare si aproximare, H-16 iunie, 2000 Institutul de Calcul “T. Popoviciu”.
• I. Pavaloiu, Metode numerice de tip Halley-Steffensen pentru aproximarea radacinilor ecuatiilor scalare, Zilele Academice Clujene, simposionul Metode numerice, optimizare si aproximare, 14-16 iunie, 2000, Institutul de Calcul “T. Popoviciu”.
• Calin Ioan Gheorghiu, An Indirect Approximation to Positive Solutions for some Reaction Diffusion Problems, Conferinta Anuala GAMM, Göttingen, 2-7 April 2000.
• Calin Ioan Gheorghiu, Analiza numerica a unor sisteme dinamice neliniare de tip reactie-difuzie, Zilele Academice Clujene, simposionul Metode numerice, optimizare si aproximare, 14-16 iunie, 2000, Institutul de Calcul “T. Popoviciu”.
• Calin Ioan Gheorghiu, Trif Damian, On a Mildly Nonlinear Reaction-Diffusion Problem with Invariants, International Workshop, Reaction-Diffusion Equations and Travelling Waves,  Inst. of Fundamental Techonological Research, Varsovia, mai, 2000.
• Calin Ioan Gheorghiu, Asupra mecanismului instabilitatii corespunzator unor curgeri vascoase antrenate de gradienti de tensiune superficiala pe un plan inclinat, Conferinta de Mecanica Fluidclor si Aplicatiile ei Tehnice, Universitatea Tehnica “Gh. Asachi”, Septernbrie, Iasi, 2000.

Grants

• GAR. 6100GR/13 octombrie 2000, cu ANSTI Tema: B6 – Problema inversa a dinamicii – miscare programata. Responsabil: cerc. pr.II dr.M.C. Anisiu Colaborator: asist.cerc. Alina Curseu
• GAR 6100GR/13 octombrie 2000, cu ANS'TI Tema: 87 – Metode numerice de rczolvarc a unor probleme la limita pentru ecuatii diferentiale si cu derivate partiale, Responsabil: cerc.pr.I dr: C. Mustata Colaborator: cerc. pr .III A. Muresan dr. R Mustata
• GAR 6100GR/13 octombrie 2000, cu ANSTI Tema B8- Teoreme de convergenta pentru metode quasi-Newton si Newton inexacta, Responsabil: cerc.pr.III dr.E. Catinas, Colaborator: cerc.pr.I dr. I. Pavaloiu, asist. cerc. Alina Curseu
• GAR 6100GR/13 octombric 2000, cu ANSTI Tema: B9 – Analiza numerica a unor sisteme dinamice parabolice neliniare, Responsabil: cerc.pr.Il dr. C.I. Gheorghiu, Colaborator: cerc.pr.II dr. N. Suciu, cerc.pr.III C. Vamos

Members of Editorial boards

• I. Pavaloiu: Southwest Journal of Pure and Applied Mathematics – Cameron University (SUA).
• C. Mustata: Southwest Journal of Pure and Applied Mathematics – Cameron University (SUA).
• I. Pavaloiu, Research on Numerical Methods of Analysis and Optimization – Univ. Chisinau, Republica Moldova.
• E. Catinas, Southwest Journal of Pure and Applied Mathematics – Cameron University (SUA).

Peer review
C.I.Gheorghiu: 0988.65106, 0967.65110,  0967.65111, 0967.65112, 0973.65110, 0964.65144, 0964.65137, 0969.65110, 0963.65097, 0964.65136, 0967.65109, 0985.76068, 0979.65105, 0982.76070, 0977.65107, 0965.65140, 0959.65126, 0957.65106, 0961.65097, 0955.76001, 0959.65130, 0961.65100, 0953.65085, 0953.65084, 0960.65137,0962.65103, 0963.65092, 0962.65104, 0973.65092, 0945.65128, 0977.76066, 0981.76075, 0987.76050, 0948.65096, 0941.76004

(to be completed)