SVIBOR - Project code: 1-01-129

MINISTRY OF SCIENCE AND TECHNOLOGY

Strossmayerov trg 4, HR - 10000 ZAGREB
tel.: +385 1 459 44 44, fax: +385 1 459 44 69
E-mail: ured@znanost.hr

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Project code: 1-01-129


APPLICATION OF NUMERICAL AND FINITE MATHEMATICS


Main researcher: SCITOVSKI, RUDOLF (42563)



Assistants
Type of research: applied
Duration from: 01/01/91. to 12/31/93.

Papers on project (total): 55
Papers on project quoted in Current Contents: 3
Institution name: Elektrotehnički fakultet, Osijek (165)
Department/Institute: Department of Mathematics and Physics
Address: Istarska 3
City: 31000 - Osijek, Croatia
Communication
E-mail: scitowsk@osijek.etfos.hr
Phone: 385 (0)31 12-32-55
Fax: 385 (0)31 12-32-55

Summary: Members of the research team identify certain technical problems and make suitable mathematical models. Mathematical modelling and solving such problems give mathematicians in their field possibility for new contributions to existing theory and improvement of the known methods by new elements. In addition, collaborators from electrical engineering and computer sciences have new opportunities to solve and anallyse the technical problems.

Keywords: nonlinear least squares problem, parameter identification problem, parameter estimation, moving least squares, growth models, system of nonlinear equations, nets, seminets, partitions of a finite set

Research goals: Interdisciplinary co-operative team consisted of mathematicians and electrical engineers can define the mathematical models of problems in the field of electrical engineering. The results of research contribute to creation new understandings both in mathematics and electrical engineering. Mathematical methods for solving such problems are generally known, but they can be specially investigated in some cases important for the application. In these particular cases it is possible to obtain such results which general theory does not ensure. For the problems of the nonlinear extreme and specially for nonlinear least squares problems, one can examine conditions, prove existence theorems and modify well known methods or define new methods for solving these problems in more efficient way. Sparse, large scale nonlinear systems of equations with special matrix structure often appear in the applications of electrical engineering. Greater successfulness and efficiency of the applications can be achieved by means of using modified methods of quasi-Newton types in that kind of problems.


COOPERATION - INSTITUTIONS


  1. Name of institution: Matematički odjel PMF-a
    Type of institution: University/Faculty
    Type of cooperation: Systematic exchange of information
    City: 10000 - Zagreb, Croatia

  2. Name of institution: Fachhochschule Bremen-Fachbereich Elektrotechnik
    Type of institution: University/Faculty
    Type of cooperation: Joint publishing of scientific papers
    City: Bremen (D), Njemačka

  3. Name of institution: Universitaet des Saarlandes
    Type of institution: University/Faculty
    Type of cooperation: Occasional exchange of experts
    City: Saarbruecken (D), Njemačka

  4. Name of institution: Fachhochschule Trier
    Type of institution: University/Faculty
    Type of cooperation: Occasional exchange of information
    City: Trier (D), Njemačka

  5. Name of institution: Internationales Begegnungs und Forschungszentrum fuer Informatik- Schloss Dagstuhl (IBFI)
    Type of institution: State institute
    Type of cooperation: Systematic exchange of information
    City: Dagstuhl (D), Njemačka

  6. Name of institution: Fernuniversitaet Hagen
    Type of institution: University/Faculty
    Type of cooperation: Financial support
    City: Hagen (D), Njemačka

  7. Name of institution: Universitaet Trier
    Type of institution: University/Faculty
    Type of cooperation: Occasional exchange of information
    City: Trier (D), Njemačka

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Last update: 10/16/95
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