SCOPES PROJECT No 7 IP 65642

“Establishing CSE in Bulgaria and Macedonia”

(CSE project)

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Bulgarian Academy of Sciences

 Working Group

(BAS WG)

 

Progress Report

 

 

September 2002

Sofia, Bulgaria

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1.  Objectives and planned actions

 

Within action A1 (January-March 2002)  intensive communications  between the BAS WG and the CSE-project partners have been performed aiming at detailed study of the state of research and form of  education in the represented institutions.

 

The main action in that period was the preparation and organization  the  Start-Up meeting, Sofia, 26-28.02.2002. About 30 participants took part in the meeting, among them two from ETHZ and four from the U. of Skopie. For details, see http://www.math.bas.bg/~bio/CSE  (item "meetings").

 

Within the first stage of action A2 (January 2002-September 2002)  the following activities took place:

 

Dissemination of materials (books, Matlab, Maple, Mathematica, etc) related to the aims of the project amongst  members of the WG.

 

Preparation of web pages about the project, see  http://www.math.bas.bg/~bio/CSE .

 

Through the discussions, held during the Kick-Off Meeting – February 2002 in Sofia, a policy for the purchasing of computer hardware and software has been established. The goal was to give the participating partners equipment which offers them new means and enhances their abilities in CSE. According to this policy, specification of the equipment for the COSE server was prepared and a suitable company offering this  equipment was chosen. A server machine Pentium-4, 1.6GH with 1GB RAM was bought from RISK Electronics Ltd. This company offers to cancel  VAT taxes and further 5% price reduction. 

 

Institute of Mathematics and Informatics at BAS provided the necessary infrastructure for the COSE center: one office room, located in the building of IMI, and a fast Internet connection for the COSE server.

 

The general purpose technical computing software Mathematica 4.2 with Premier  Service including webMathematica were purchsed and installed on the COSE server.

 

Based on webMathematica, the background of a web service, called webComputing,  for dynamic web computations and visualizations was developed (See http://cose.math.bas.bg/webComputing/).

 

Discussion of the status of CSE research and education in the involved  BAS institutes. The relations between the Institute of Mathematics and Informatics and the partner WGs from Gabrovo and Blagoevgrad have been strenghtened. The role of CSE within the organizational units of the co-applicants and their parent institutions has been discussed. Suitable models  for the introduction of CSE master courses in TU Gabrovo and SWU Blagoevgrad have been considered.

 

2. Accompaining actions

 

The following scientific meetings  have been related to the CSE project and have been organized or attended by members of the BAS WG:

 

1.Just before the start of the project  members of the BAS WG (S. Markov and E. Popova) took part at the two-day Seminar of the  Institute of Informatics of the University of Skopie, 21-22 December 2001 at Hotel Molika, near Bitolja. About 35 communications were presented at the seminar; many of them closely related to CSE. The meeting was very useful for strengthening the contacts between the working groups in BG and MK.

 

2.Two BAS WG members (S. Markov and S. Margenov) took part at the Latsis Symposium on Iterative Solvers for LLS organized by ETH Zuerich  (18-21.02.2002), see  http://www.cg50.ethz.ch/ . At this meeting the program of the Start-Up meeting in Sofia has been discussed.

 

3.Minisymposium on Mathematical Modelling and Scientific Computation (MMSC’02), 4 April 2002, organized  by IMI-BAS within the 31st Spring Conf. of the UBM. Twelve talks have been include in the scientific programs incl. participants from  Germany, Romania, Macedonia, South Africa, Canada and Japan. Five BAS WG members took part in that meeting.

 

4.One day seminar on “Scientific Computing and Parallel Algorithms”, June 18, Tuesday, CLPP-BAS. Eight talks were included in the scientific program of this (free of registration fee) already traditional meeting participated by researchers, faculties and students from: Central Laboratory for Parallel Processing; Institute of Mathematics and Informatics; Institute of Nuclear Physics, all from Bulgarian Academy of Sciences; Department of Mathematics and Informatics, Sofia University; Technical University of Gabrovo; Institute of Geonics, Czech Academy of Sciences, Ostrava; University of Uppsala, Sweden; University of Budapest, Hungary; Univerity of Marcel, France. Two BAS WG members (S. MArgenov and S. Markov) took part in that meeting.

 

5.Fifth International Conference on “Numerical Methods and Applications”, NM&A02, August 20 - 24, 2002, Borovets, BULGARIA organized by the Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, see: http://www.bas.bg/clpp/nma02.html

 

6.Minisymposium on Control and Uncertain Systems organized within NM&A02  by S. Markov, M. Krastanov and V. Veliov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria, 21-22.08.2002, see: http://parmac1.bas.bg/nma02/minisimp4.html .  Four BAS WG members took part at the meeting.

 

7.10th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics September 23 - 27, 2002, Paris, France (SCAN2002). Two BAS-WG participants (S. Markov, E. Popova) take part  at SCAN’2002, see  http://www.scan2002.lip6.fr .

 

Conference lectures

 

[1] Y. Akyildiz, D. Claudio, S. Markov, On the Linear Combinations of Symmetrc Segments (MMSC’02)

[2] N. Grigorova, Numerical Comparison of two Enzyme-kynetic Models (MMSC’02)

[3] N. Dimitrova, Numerical Integration with Error Control (MMSC’02)

[4] M. Krastanov, On Stabilizing Feedback Controls (MMSC’02)

[5] E. Popova, Solving Parametric Interval Linear Systems by Mathematica (MMSC’02)

[6] S. Markov: On some spaces used in interval computations (II, Skopie);

[7] E. Popova: Interaction between computer algebra and interval computations (II). 

[8] S. Markov: On the properties of stochastic numbers (CLLP seminar)

[9] R. Lazarov, S. Margenov, NMA’02, Borovets, August 2002, Bulgaria, On a two level MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems, to appear in Springer LNCS

[10] G. Bencheva, S. Margenov, Parallel incomplete factorization preconditioning of rotated linear FEM systems, NMCM’02, Miskolc, July 2002, Hungary, submitted to Computer & Mathematics with Applications

[11] I. Georgiev, S. Margenov, DD MIC(0) preconditioning of rotated trilinear FEM elasticity systems, NMCM’02, Miskolc, July 2002, Hungary, submitted to Computer & Mathematics with Applications

[12] S. Markov: Quasivector spaces (SCAN’02)

[13] S. Markov, R. Alt: On the algebraic properties of stochastic numbers (SCAN’02)

[14] E. Popova: Parametric linear solver (SCAN’02)

 

3. Publications (with project support acknowledged)

[1] S. Markov, On Some Spaces Used in Convex and Interval Analysis, Proceedings of the Second Conference on informatics and information technologies CiiT, Molika, 2001 (in print).

 

[2] S. Markov, On Quasilinear Spaces of Convex Bodies and Intervals,  Journal of Computational and Applied Mathematics,  Special Issue, to appear.

 

[3] S. Markov, R. Alt, Stochastic Arithmetic: Addition and Multiplication by Scalars. Appl. Numer. Math. (submitted)

 

[4]  Z. Kulpa,  S. Markov,  On the inclusion properties of interval multiplication: A diagrammatic study (submitted to BIT).

 

[5] Popova, E.: Solving Parametric Interval Linear Systems by Mathematica. In Mathematics & Education in Mathematics, BAS Publishing, Sofia, 2002, pp.391-396.

 

 [6] S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, Third International Conference, LSSC 2001, Revised Papers, Springer, Lecture Notes in Computer Science, Volume LNCS 2179 (2001),  pp 498

 

 

4. The following Master program CSE courses have been proposed:

 

A. Basic Courses:

 

1.   Computational algebra

2.   Numerical Analysis I

3.   Numerical Analysis II

4.   Numerical Optimization

5.   Parallel algorithms

6.   Modelling Under Uncertainties

7.   Mathematical control theory

8.   Scientific visualization and graphics

 

B. Special courses:

 

1.   IEEE Floating-Point Computing

2.   Theory of errors

3.   Numerical methods with result verification

4.   Sparse Matrices Solution Method

5.   Computational Science Tools:

·        Languages  (C++, F90, -XSC,…)

·        Oparating Systems (Unix)

·        General Purpose Environments

o       MATLAB, MAPLE, Mathematica

o       Advanced Programming with Mathematica

6.   Vizualizing differential equations

7.   Nonlinear dynamical systems and applications

8.   Dynamical programming

 

C. Domain specific courses

 

1.   Mathematical models in biology, ecology and medicine

2.   Telecommunications and Teletraffic Theory

3.   Computer Design

4.   Mathematical Models in Finance

5.   Computational Mechanics

6.    System analysis and design

7.   Image processing

8.   Dynamic web computations

9.   Noise-defending coding

10. Nonlinear Dynamics of Biological Time Series: Methods, Algorithmes, Programs

11. Chronoendocrinology

12. Computer virusology

 

5. Conclusions

The reported activities contributed for strengthening the relations between the participating institutions. Undoutedly the COSE server will strongly improve the environment for higher education and research in the field of CSE and contribute for a better organizational structure and management. The installation of advanced licencedThe installation of modern software equipment  organisational ver will strongly improve the environment for higher education an software equipment will highly facilitate the educational process and have a beneficial impact on the science and research structure in the CSE area in Bulgaria and Macedonia.

 

6. Annexes

1.     Technical Report: Algorithms for Parallel Computers, A Graduate Course Lectures and Examination Problems, M. Neytcheva, S. Margenov

2.    Preprints of the  publications according to item  4.

 

3.    Programs of the lecture courses.

 

 

 

For the BAS WG,                                    For the Inst.  of  Math. and  Informatics,

 

Assoc. Prof. Dr. S. Markov                                Prof. Dr. Sci. S. Dodunekov