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Călin-Ioan Gheorghiu
Publications

Books:

  1. T. Petrila, C.I. Gheorghiu, Finite Elements Method and Applications, Romanian Academy Publishing House, Bucharest, 1987, 299 pp., MR 88j: 65261 (in Romanian) Zbl 0665.65080.
  2. C.I. Gheorghiu, A Constructive Introduction to Finite elements Method, Ed. Qvo-Vadis, Cluj-Napoca, 1999, pp.170. Zbl 1002.65123
  3. C.I. Gheorghiu, Amelia Bucur, General Mathematics (Textbook in Romanian), "Lucian Blaga" University Publishing House, Sibiu, 2001, 163 pp.
  4. C.I. Gheorghiu, Numerical Methods for Dynamical Systems (in Romanian), Scientific Book Publishing House, Cluj-Napoca, 2004, 151 pp., ISBN 973-686-396-6 978-973-686-896-2.
  5. C.I. Gheorghiu, Spectral Methods for Differential Problems, Casa Cartii de Stiinta, Cluj-Napoca, 2007, pp. 157+X, ISBN 978-973-133-099-0. (Full text)

Articles:

  1. I. Stan, C.I. Gheorghiu, Numerical Methods in Establishment of Concentration Profile for the Flows with Chemical Reactions over Rotating Disk, Studia Univ. Babes-Bolyai, Mathematica, XXII, 1, 1977, pp. 73-77.
  2. I. Stan, C.I. Gheorghiu, The Shooting Method in Establishment of Concentration Profiles in Diffusive Boundary Layer, St. Cerc. Mec. Apl., vol 37, nr. 3, 1978, pp. 353-360.
  3. L. Ilie, C.I. Gheorghiu, Numerical Simulation of Rain-Runoff Process Within the Zalau Drainage, at the Sarmasag Gauging Point, Hidrotehnica, vol. 24, 7, 1979, pp.154-160.
  4. I. Stan, C.I. Gheorghiu, Numerical Methods for the Flows with Chemical Reactions over a Rotating Disk, Studia Univ. Babes - Bolyai, Mathematica. XXV, 4, 1980, pp. 24-31.
  5. C.I. Gheorghiu, Finite Element Methods for the General Quasi Harmonic Equation, Preprint nr. 1, 1982, Seminar of Numerical Approximation Method in Hydrodynamics and Heat Transfer, ''Babes - Bolyai'' Univ. Cluj-Napoca, Faculty of Mathematics.
  6. E. Chifu, C.I. Gheorghiu, I. Stan, Surface Mobility of Surfactant Solutions XI. Numerical Analysis for the Marangoni and Gravity Flow in a Thin Liquid Layer of Triangular Section, Rev. Roumaine Chim., tome 29, 1, 1984, pp. 31-42.
  7. E. Chifu, C.I. Gheorghiu, I. Albu, E. Gavrila, M. Salajan, Marangoni Flow-Induced by Temperature Gradients-Against Gravity Forces, Rev. Roumaine Chim. 31, 1, 1986, pp.105-112.
  8. E. Culea, Al. Nicula, C.I. Gheorghiu, Electrical Conductivity of Vitreous 75 % V205-25 % (As203-B203)}, Physica Status (a) 96, K85 (1986).
  9. E. Chifu, C.I. Gheorghiu, I. Stan, Some Remarks Concerning the Marangoni Flow on an Inclined Plane, Proceedings of the VII-th International Tagungüber Grenzflächenaktive Stoffe, 1985, Akad. Verlag, Berlin, 1987, pp.211-217, Chemical Abstracts 107: 103233k.
  10. C.I. Gheorghiu, E. Chifu, Surface Mobility of Surfactant Solutions XII, Remarks Concerning the Marangoni Flow Through an Inclined Surface Canal, Rev. Roumaine Chim., 32, 9-10, 1987, Chemical Abstracts 108: 152854t.
  11. C.I. Gheorghiu, FEM and/or BEM for Numerical Simulation of Marangoni Flow, Engineering Analysis, vol.5, 4, dec.1988.
  12. C.I. Gheorghiu, On the use of Green's formula for solution of the Navier-Stokes Equation, Hydrosoft Journal & Preprint 1, Seminar on Mechanics, 1988, Univ. "Babes - Bolyai", pp.63-76.
  13. C.I. Gheorghiu, On the Competition Between Marangoni and Gravity Forces to Determinate the Surface Profiles of a Liquid Flow on an Inclined Plane Open to Air, Preprint nr. 2, 1989, Research Seminar on Mechanics, ''Babes - Bolyai'' Univ. Cluj-Napoca, Faculty of Mathematics and Physics, pp. 47-52.
  14. C.I. Gheorghiu, On a Linear Singularly Perturbed Two Point Boundary Value Problem, Preprint nr. 1, 1989, Seminar on Functional Analysis and Numerical Methods, "Babes - Bolyai" Univ. Cluj-Napoca, Faculty of Mathematics and Physics, pp. 67-74. Zbl.M.712.34028
  15. C.I. Gheorghiu, Z. Kasa, I. Stan, Effects of Surfactants on an Undeformable Drop Initially at Rest, Studia Univ. ''Babes - Bolyai'', Mathematica, XXXVIII, 2, 1993, 113-126. Zbl.M.829.76021
  16. C.I. Gheorghiu, M. Kohr-Ile, An Integral Formulation for some Slow Viscous Flows with Free Surfaces, Mathematica, 36 (59), 1, 1994, pp. 43-54. MR 95m:76024
  17. E. Chifu, E. Gavrila, M. Salajan, C.I. Gheorghiu, Surface Mobility of Surfactant Solutions. XVI. Involvement of the Fluid Viscosities in the Marangoni Flow-Some Aspects, Studia Univ. ''Babes - Bolyai'', Chem. XXXIX, 1-2, 159-166 (1994).
  18. C. I. Gheorghiu, S.I. Pop, On the Chebyshev-tau Approximation for Some Singularly Perturbed two Point Boundary Value Problems, Revue d'Analyse Numérique et de Théorie de l'Approximation, Cluj-Napoca, Tome 24, Nos 1-2, (1995), pp.117-124, 960.44077/Zbl M.
  19. C.I. Gheorghiu, Al. Tamasan, On the Existence & Uniqueness of Positive Solutions of some Mildly Nonlinear Elliptic Boundary Value Problems, Revue d'Analyse Numérique et de Théorie de l'Approximation, Cluj-Napoca, Tome 24, Nos 1-2, (1995), pp.125-129.Zbl.M. 856.35045.
  20. E. Chifu, C.I. Gheorghiu, M. Salajan, E. Gavrila, Marangoni and Gravity Flows in Thin Liquid Layers, ITEC 1995, International Thermal Energy Congress, Maroc, June 5-8, 1995, published by E. Bilgen, T.H.Nguyen, P. Vasseurs, Eds, vol.II, Ecole Politechnique de Montreal, 1995, pp.832-837.
  21. I.S. Pop, C.I. Gheorghiu, Chebyshev-Galerkin Methods for Eigenvalue Problems, Proceedings of ICAOR (International Congress of Numerical Analysis & Optimization), Cluj-Napoca, July-August 1996, vol. II, pp.217-220. MR 98g:41002
  22. C.I. Gheorghiu, On the Behaviour of a Thin Liquid Layer Flowing Due to Gravity and a Surface Tension Gradient, I Mathematical Aspects, Studia Univ.''Babes - Bolyai'', Mathematica, XLI, 4, 1996, pp.47-54.
  23. C.I. Gheorghiu, Comment on ''Numerical Analysis for the Effect of Surfactants on a Circular Liquid Lens I'', Rev. Roum. Sci. Techn. - Mec. Appl., Tome 41, Nos 5-6, p.495, 1996.
  24. C.I. Gheorghiu, T. Petrila, On the Motion of a Drop Due to a Surface Tension Gradient, Proceedings of ICAOR, 1996, vol.II, pp. 117-118. MR 98g:41002
  25. C.I. Gheorghiu, I.S. Pop, A Modified Chebyshev-Tau Method for a Hydrodynamic Stability Problem, Proceedings of ICAOR 1996, vol.II, pp.119-126. MR 98g: 41002
  26. C.I. Gheorghiu, Al. Tamasan, On the Bifurcation of the Null Solution of Some Mildly Nonlinear Elliptic Boundary Value Problems, Proceedings of the Fourth Conference on Nonlinear Analysis, Numerical and Applied Mathematics, April 26-30, 1995, Constanta, Analele Univ.Ovidius Constanta, Seria Matematica, V(1997), Fasc.1, pp.59-64.
  27. E. Chifu, E. Gavrila, M. Salajan, C.I. Gheorghiu, Surface Mobility of Surfactant Solutions, XVII. Determination of Marangoni Rate of Flow in Simulated Zero Gravity Conditions, J.Roum.Colloid Surface Chem.Assoc., 2(3-4), pp.25-29 (1997).
  28. C.I. Gheorghiu, The Solution to Problem 97-8 by Ph. Korman, SIAM Review, 39(1997), SIAM Rev., Vol.40, No 2, pp.382-385, June 1998, pp.382-385.
  29. C.I. Gheorghiu, D. Trif, The Numerical Approximation to Positive Solution for Some Reaction - Diffusion Problems, Pure Math. Appl., Vol.11, No.2, May 2001, pp.243-253. MR 2002d: 35103, Zbl 0990.35068.
  30. C.I. Gheorghiu, D. Trif, On the Bifurcation and Variational Approximation of the Positive Solution of a Nonlinear Reaction-Diffusion Problem,Studia Univ. "Babes - Bolyai", Mathematica, Vol.XLV, No.3, sept.2000, pp.29-37.
  31. C.I. Gheorghiu, E. Borsa, On the Marangoni Flow on an Inclined Plane, Buletinul Institutului Politehnic Iasi, Supliment Mecanica Fluidelor, Tom XLVI(L) 2000, pp.61-64.
  32. E. Borsa. C. I. Gheorghiu, On the Marangoni and Gravity Flow in an Inclined Channel of an Arbitrary Section, Rev. Roum. Sci Techn.-Mec. Appl. Tome 45, No.3, 255-264(2000)
  33. C.I. Gheorghiu, A Unified Treatment of Boundary Layer and Lubrication Approximations in Viscous Fluid Mechanics, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 29, No. 2, pp. 135-138, 2000, Zbl 01864544.
  34. C.I. Gheorghiu, E. Borsa, On the Flow of a Viscous Thin Layer on an Inclined Solid Plane Driven by a Constant Surface Tension Gradient, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 30, No. 2, pp. 127-134, 2001.
  35. C.I. Gheorghiu, A. Muresan, On the Significance of Integral Properties of Orbits in Some Superlinear Fixed-Period Problems, Seminar on Fixed Point Theory, Cluj-Napoca, Vol. 3, 2002, pp. 223-230.
  36. C.I. Gheorghiu, D. Trif, Direct and Indirect Approximations to Positive Solution for a Nonlinear Reaction - Diffusion Problem Part. I Direct (variational) approximation, Revue d'Analyse Numérique et de Théorie de l'Approximation /2002/ vol. 31, No. 1, pp 61-70.
  37. C.I. Gheorghiu, D. Trif, Direct and Indirect Approximations to Positive Solution for a Nonlinear Reaction - Diffusion Problem Part. II Indirect approximation, Revue d'Analyse Numérique et de Théorie de l'Approximation /2002/ vol. 31, No. 2, pp 171-178.
  38. C.I. Gheorghiu, On some One-Step Implicit Methods as Dynamical Systems, RANTA, vol. 32, No. 2, pp 171-175, 2003.
  39. C.I. Gheorghiu, On the Measure of Non-Normality of Matrices, General Mathematics, Vol. 11, No. 1-2 (2003), 21-32.
  40. C. I. Gheorghiu, On the Spectral Characterization of Some Numerical Methods, accepted in Proceedings of ICNODEA, UBB Cluj-Napoca, august 2004, 5 pages (Abstracts p. 70). [Abstract]
  41. C. I. Gheorghiu, A New Scalar Measure of Non-Normality. Application to the Characterization of Some Spectral Methods, sent to SIAM J. Sci. Comput. [Abstract]
  42. C.I. Gheorghiu, On the Spectral Properties of Chebyshev-Type Methods; Dimensions vs. Structure, Studia U B B Mathematica, vol. L, (1), pp.61-66, 2005.
  43. C.I. Gheorghiu, Nonlinear Deterministic Dynamics with Applications, King Mongkut's Institute of Technology, Ladkrabang, Bangkok, Thailand, 53 pp., Octomber, 2005.
  44. Gheorghiu, C.I., Muresan, A.C., On the Long Time Energy Conservation by High Order Geometric Integrators, PADEU 19(2007), p. 207-213 (Published by the Astron. Dept. of the Eotvos Univ. Budapest)
  45. Gheorghiu, C.I., Muresan, A.C., On the Accuracy of Stoermer/Verlet Method as the Numerical Integrator of the N-Body Problem-Application to Solar System, Rom. Astron. J.,Vol. 16 (2006), No.1, p. 93-102.
  46. Gheorghiu C.I., Accurate Numerical Solutions to Stationary Free Surface Problems from Capillarity, Physics of Particles and Nuclei Letters, 2008, Vol. 5, No. 3, pp. 286-289.
  47. C.I. Gheorghiu, F.-I. Dragomirescu, Spectral methods in linear stability. Applications in thermal convection with variable gravity field, Applied Numerical Mathematics, On line publication 13-aug. 2008; DOI 10.1016/j.apnum.2008.07.004.
  48. C.I. Gheorghiu, F.-I. Dragomirescu, Spectral methods in linear stability. Applications in thermal convection with variable gravity field, Applied Numerical Mathematics, 59(2009) 1290-1302.
  49. I.F. Dragomirescu, C.I. Gheorghiu, Analytical and numerical solutions to an electrohydrodynamic stability problem, Applied Mathematics and Computation, v. 216 (2010) no. 12, 3718-3727. (Impact Factor 2009: 1.124)

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