Menu   Prof. dr. Viorel Arnăutu


    Curriculum Vitae
    Research
    Teaching

Contact

    arnautu@uaic.ro
    +40 0232 201 229
    +40 0232 315 840

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Research Interests

  • Mathematics:
    • Numerical methods (theory, algorithms and computer programs) for Optimal Control Problems governed by PDEs and by variational inequalities
    • Numerical methods for Hamilton-Jacobi equations (the synthesis of optimal control)
    • Numerical methods for PDEs and integral equations
  • Applied mathematics, applied optimal control problems:
    • free boundary problems
    • epidemic models
    • optimization of plates
    • laser hardening of steel
    • 3D curved mechanical structures
    • population dynamics

Books

  • Optimal Control from Theory to Computer Programs (in cooperation with Pekka Neittaanmaki), Kluwer Academic Publishers, Dordrecht, Boston, London, 2003.
  • Numerical Methods for Variational Problems, University of Jyvaskyla, Department of Mathematical Information Technology, Lecture Notes 8/2001, Jyv\"askyl\"a, Finland, 2001
  • Metode numerice pentru probleme variationale.Teorie si algoritmi, Editura Universitatii "Alexandru Ioan Cuza", Iasi, 2001
  • An Introduction to Optimal Control Problems in Life Sciences and Economics. From Mathematical Models to Numerical Simulation with Matlab (in cooperation with S. Anita, V. Capasso), Birkhauser, Boston, 2010.

Selected List of Papers ( ISI journals )

  • Approximation of Optimal Distibuted Control Problems Governed by Variational Inequalities, Numerische Mathematik, 38(1982), 393 - 416
  • Controlling the Spread of a Class of Epidemics (in cooperation with V. Barbu and V. Capasso), Applied Mathematics and Optimization 20(1989), 297 - 317
  • On Approximation of the Inverse One-Phase Stefan Problem, International Series of Numerical Mathematics, Vol. 99, 1991, Birkhauser Verlag, Basel, 69--81.
  • Numerical Results for a Product Formula Approximation of Hamilton--Jacobi Equations, International Journal of Computer Mathematics, Vol. 57, 1995, 75 - 82
  • Numerical Approximation for the Phase-Field Transition System (in cooperation with C. Morosanu), International Journal of Computer Mathematics, Vol. 62, 1996, 209--221.
  • Discretization Estimates for an Elliptic Control Problem (in cooperation with P. Neittaanmaki), Numer. Funct Anal. and Optimiz., Vol. 19 (5 & 6), 1998, 431--464.
  • Convergence Results for a Nonlinear Parabolic Control Problem (in cooperation with D. Homberg and J. Sokolowski), Numer. Funct Anal. and Optimiz., Vol. 20 (9 & 10), 1999, 805--824.
  • On the Approximation and the Optimization of Plates (in cooperation with H. Langmach, J. Sprekels, D. Tiba), ), Numer. Funct Anal. and Optimiz., Vol. 21 (3 & 4), 2000, 337--354.
  • Optimization problems for curved mechanical structures (in cooperation with J. Sprekels, D. Tiba), SIAM J. on Control and Optimization, Vol. 44, No. 2, 2005, 743 - 775
  • A reduction approximation method for curved rods (in cooperation with J. Sprekels, D. Tiba), Numer. Funct Anal. and Optimiz., Vol. 26, No. 2, 2005, 139--155.
  • Global behavior for an age-dependent population model with logistic term and periodic vital rates (in cooperation with L-I. Anita, S. Anita), Applied Mathematics and Computation, 206(1), 2008, 368--379
  • The numerical solutions for an elliptic control problem (in cooperation with R. Stefanescu), Proceedings of SYNASC 2008, IEEE Computer Society, Los Alamitos, 2009, 173--176
  • Numerical optimal harvesting for a periodic age-structured population dynamics with logistic term (in cooperation with S. Anita , R. Stefanescu), Numerical Functional Analysis and Optimization, 30 (3-4), 2009, 183--198
  • Optimal harvesting for periodic age-dependent population dynamics with logistic term (in cooperation with L-I. Anita , S. Anita), Applied Mathematics and Computation, 215(7), 2009, 2701--2715
  • Numerical locking problems for hyperbolic equations (in cooperation with Ana-Maria Mosneagu), Numerical Functional Analysis and Optimization, 31(5), 2010, 549--568
  • Numerical applications for insulin treatment models (in cooperation with Ana-Maria Mosneagu), Analele St. ale Universitatii Iasi (S.N.) Matematica, Tom LVII, 2011, f.1, 43-55
  • Feedback stabilization for a reaction-diffusion system with nonlocal reaction term (in cooperation with S. Anita, Smaranda Dodea), Numerical Functional Analysis and Optimization, 32(4), 2011, 351-369
  • Numerical locking problems for parabolic equations (in cooperation with Ana-Maria Mosneagu), Numerical Functional Analysis and Optimization, 32(9), 2011, 927-945.

Other Selected Papers

  • Approximation of an Integro--Differential Equation in a Hilbert Space, Analele Univ. Iasi, Tom XXV, s. Ia (1979), fasc. 2, 313--329.
  • Characterization and Approximation of Optimal Control of a Class of Nonconvex Distributed Control Problems, Mathematica, Tome 22(45), No. 2 (1980), Cluj-Napoca, 189 - 205
  • The Study of Two Filters Series (in cooperation with E. Barsan and C. Barsan), Buletinul Instit. Politehnic Iasi, Tom XXVII(XXXI), fasc. 3-4, Sectia III (1981), 87-94.
  • Approximation of Optimal Distributed Control Problems, Workshop on Differential Equations and Control Theory, Institute of Mathematics Bucharest, 1983, 7 - 10
  • Program Design for the Numerical Solution of an Optimal Control Problem, Analele Univ. Iasi, Tom XXXV, 1989, fasc. 4, Informatica, 353--366.
  • On a laser hardening problem (in cooperation with D. Homberg, J. Sokolowski), Analele St. Univ. Ovidius Constanta, Vol. 6(1), 1998, 1--8.
  • Some aspects concerning the linear age--dependent population dynamics (in cooperation with S. Anita), Sci. Annals of USAMV Iasi, Proc. of the Annual Symposium on "Mathematics applied in Biology & Biophysics", pp. 3 - 18, Iasi, 2004
  • Some aspects concerning the optimal harvesting problem (in cooperation with S. Anita), Sci. Annals of USAMV Iasi, Proc. of the Annual Symposium on, "Mathematics applied in Biology & Biophysics", pp. 65 - 73, Iasi, 2005