Andrejs REINFELDS

Dr.habil.math.Andrejs REINFELDS Associated Professor, University of Latvia Institute of Mathematics and Computer Science University of Latvia Raina bulv. 29, Riga, LV 1459, Latvia Phone: +371 7033719 Fax: +371 7820153 E-mail: [email protected]

Born: June 2, 1942, Riga, Latvia

Interests:

• Qualitative Theory of Differential Equations
• Dynamical and Semidynamical Systems
• Difference Equations
• Impulse Differential Equations
• Application of Differential Equations
• Acturial Mathematics

Languages: Latvian, English, Russian

Education

• University of Latvia (Faculty of Physics and Mathematics), 1965
• Postgraduate, Institute of Physics, Latvian Academy of Sciences, 1973
• Dr.math. (Candidate of Science in former USSR, Ph.D. in Western countries), Thesis: A Reduction Theorem and Dynamical Equivalence of Autonomous Differential Equations, University of Latvia, 1974
• Dr.habil.math., Thesis: Reduction Principle of Differential Equations, University of Latvia, 1998

Experience

• Lecturer of Mathematics, University of Latvia, 1966-1970
• Researcher, Junior and Senior Researcher, Institute of Physics, Latvian Academy of Sciences, 1973-1991
• Head of Laboratory of Qualitative Theory of Differential Equations, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 1991 -
• Director, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 1997 - 2003
• Head of the Board, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 2003 -
• Associated Professor, University of Latvia

Honours and Awards

• Corresponding Member, Latvian Academy of Sciences, 1999

Professional Activities and Memberships

• Expert, Latvian Council of Science, 1993-1996; 2000 –
• Member, American Mathematical Society, 1992 –
• Member, International Federation of Nonlinear Analysts, 1996 –
• Member, International Society of Difference Equations, 2001 –
• Editor- in-Chief, journal Acta University of Latvia, Ser. Mathematics, 1992 –
• Member, Editorial Board of journal Proceedings of the Latvian Academy of Sciences, Sec.B (Natural Sciences), 1995 -
• Member, Editorial Advisory Board, journal Mathematical Modelling and Analysis (The Baltic Journal on Mathematical Applications, Numerical Analysis and Differential Equations), Lithuania, 1999-
• Chair, Latvian Society of Mathematics, 2001 –
• Expert, journals Mathematical Reviews and Zentralblatt fuer Mathematik, 1974 –
• Chair of the 3rd International Conference of Mathematical Modelling and Analysis, 1998 , 2000.

Lectures

• The Reduction of Discrete Dynamical and Semidynamical Systems in Metric Spaces. Invited lecture. University of Augsburg, Germany, 1994
• Invariant Sets and Dynamical Equivalence. Invited lecture. Technical University of Budapest, Hungary, 1995
• Partial Decoupling for Noninvertible Mappings. Invited lecture. Limburgs Universitair Centrum, Diepenbeek, Belgium, 1996

Courses

University of Latvia:

• Ordinary Differential Equations
• Theory of Stability
• Equivalence of Dynamical Systems

Recent/Representative Publications

• A.Reinfelds. A reduction theorem. Differentsial'nye Uravneniya, 1974, vol.10, 5, pp.838-843 (in Russian); English transl. in Differential Equations, 1975, vol.10, 5, pp.645-649
• A.Reinfelds. A reduction theorem for closed trajectories. Differentsial'nye Uravneniya, 1975, vol.11, 10, pp.1811-1818 (in Russian); English transl. in Differential Equations, 1976, vol.11, pp.1353-1358
• A.Reinfelds. A generalized Grobman-Hartman theorem. Latv.Mat.Ezhegodnik, 1985, vol.29, pp.84-88 (in Russian)
• A.Reinfelds. A reduction theorem for extensions of dynamical systems. Latv.Mat.Ezhegodnik, 1989, vol.33, pp.67-75 (in Russian)
• A.Reinfelds. The reduction principle for discrete dynamical and semidynamical systems in metric spaces. Z.Angew.Math.Phys., 1994, vol.45, 6, pp.933-955.
• A.Reinfelds. Partial decoupling for noninvertible mappings. Differential Equations Dynam.Systems, 1994, vol.2, 3, pp.205-215.
• A.Reinfelds. A reduction theorem for systems of differential equations with impulse effect in a Banach space. J.Math.Anal.Appl., 1996, vol.203, 1, pp.187-210
• A.Reinfelds. Invariant sets and dynamical equivalence. Proc.Est.Acad.Sci., Phys.Math., 1996, vol.45, 2-3, pp.216-225
• A.Reinfelds. The reduction of discrete dynamical and semidynamical systems in metric spaces. In: Six Lectures on Dynamical Systems (eds.B.Aulbach and F.Colonius), 1996, NY: World SciPubl., River Edge, pp.267-312
• A.Reinfelds. The shadowing lemma in metric space, Univ.Iagel.Acta Math., 1997, vol.35, pp.205-210
• A.Reinfelds. The reduction of discrete dynamical systems in metric space. In: Advances in Differential Equations (eds. S.Elaydi, I.Gyö ri and G.Ladas). Proc. of the Second Intern.Conf. on Differential Equations, Veszprem, Hungary, Aug.7-11, 1995, Gordon and Breach, Yverdon, 1997, pp.525-536
• A.Reinfelds. Decoupling of impulsive differential equations in Banach space. In: Integral Methods in Science and Engineering. (eds.C.Costanda, J.Saranen and S.Seikkala), vol.1: Analytic Methods, Addison-Wesley, Harlow, 1997, pp.144-148
• A.Reinfelds. Dynamical equivalence of impulsive differential equations. Nonlinear Anal., 1997, vol.30, pp.2743-2752
• A.Reinfelds, O.Dumbrajs, R.Meyer-Spasche. Analysis of electron trajectories in a gyrotron resonator. IEEE Trans. Plasma Science, 1998, vol.26, pp.846-853
• M.I.Airila, O.Dumbrajs, A.Reinfelds, D.Teychenne. Traces of stochasticity in electron trajectories in gyrotron resonators. - Int. J. Infrared Millimetre Waves, 2000, vol.21, No 11, pp.1759-1778
• A.Reinfelds. Decoupling of impulsive different equations. - Proceedings of Intern. conf. on Differential Equations Equadiff'99 (eds. B.Fiedler, K.Groger, J.Sprekels), World Sci.Publ.: Singapore, 2000, pp.1433-1435
• A.Buikis, J.Cepitis, A.Reinfelds. Porous medium models for wood and paper production. - ECMI Newsletter, 2001, vol.29, March, pp.20-23
• M.Airila, O.Dumbrajs, A.Reinfelds, U.Strautins. Nonstationary oscillations in gyrotrons. – Physics of Plasma, 2001, vol.8, No 10, pp.4608-4612
• A.Buikis, J.Cepiitis, H.Kalis, A.Reinfelds. Non-isothermal mathematical model of wood and paper drying. – In: Progress in Industrial Mathematics at ECMI 2000, Springer, Berlin, 2002, pp. 488-492.
• A.Buikis, J.Cepitis, H.Kalis, A.Reinfelds. Mathematical model of sawn timber drying. – Proceedings of the Latvian Academy of Sciences, Sec.B, 2003, vol.57, No 3/4 (626), pp.128-132.
• J.Cepitis, H.Kalis, A.Reinfelds. Comparison of numerical methods for the problem arising in the gyrotron theory. – Math. Model.Anal., 2005, N 1, pp.19-30.

   

Research Projects

• A.Reinfelds (Head of Project). Dynamic Systems with Structure. Latvian Council of Science (1991-1993)
• A.Reinfelds (Head of Latvian Part of Project). EmNet/C&E, Euromath Network and Services for Central- and Eastern European Countries. European Union (COST Programme (1993-1997)
• A.Reinfelds (Head of Project). Selected Problems of Dynamical Systems Theory. Latvian Council of Science (1994-1996)
• A.Reinfelds (Head of Project). Selected Problems of Qualitative Dynamical Systems Theory and Applications. Latvian Council of Science (1997-2000)
• A.Reinfelds (Head of Project). Analysis of Selected Problems of Differential Equations and Discrete Dynamical Systems. Latvian Council of Science (2001 -2004)
• A.Reinfelds (Head of Project). Urgent Issues of Qualitative Theory of Ordinary Differential Equations and Difference Equations Problems.  Latvian Council of Science (2005 - )
• A.Reinfelds (Head of Project) Modelling of Stochastic Processes in Gyrotrons and Novel Method of Improving Mode Selection in a Coaxial Cavity. The European Atomic Energy Community (2000-2001)

   

Last update 30-10-2007 12:46:05