Joint Institute for Nuclear Research	Laboratory of Information Technologies

	Group of Algebraic and Quantum Computations

News and Events

 

CA Workshop Dubna-2012

The 15-th two-day workshop on Computer Algebra will take place on May 23-24, 2012.
Registration

April 02, 2012

The meeting of the Seminar on Computer Algebra, CMC faculty of MSU & CCAS will take place on Wednesday, April 11, at 16:20, room 780 of building CMC of Moscow State University.

CA Workshop Dubna-2011

The 14-th two-day workshop on Computer Algebra will take place on June 2-3, 2011.
Abstracts
Preliminary Programme

MMCP'2011

International Conference MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS, 2011 (MMCP 2011) will be held in High Tatra Mountains from July 4 until July 8, 2011. The site of the conference is the Academia congress centre in Stará Lesná .

April 17-22, 2011

The International conference "Polynomial Computer Algebra - 2011" will be held in Saint-Petersburg, Russia. The Conference will be devoted to modern polynomial algorithms in Computer Algebra which are gaining importance in various applications of science as well as in fundamental researches.

01.02. 2007

The LIT Seminar was held on February 1, 2007 to mark the 60th anniversary of the Head of our Group, Professor Vladimir Gerdt. He presented talk "Computer  algebra, integrability, involutivity and all that".

 

Archives

About the Group

Group of Algebraic and Quantum Computations is a part of the Laboratory of Information Technologies (LIT) of the Joint Institute for Nuclear Research (JINR). The main research and activity directions of the Group are:
1. Development of computer algebra methods, algorithms and software to solve scientific and technical problems arising in research conducted at JINR and its member states.
2. Provision of the JINR users with information about non-commercial computer algebra systems and with open source software oriented to symbolic and algebraic computation.
3. Information support of research in JINR based on the use of computer algebra; and of educational programs in JINR relied on computer algebra software. Maintenance of the specialized Web server http://compalg.jinr.ru .
4. Elaboration and analysis of mathematical models for quantum computations and quantum informatics.

Basic algorithmic methods developed in the Group

The most universal algorithmic method for investigating and solving systems of polynomial algebraic, differential and difference equations is the method of Groebner bases [1]. In the last 10 years new highly efficient algorithms for computation of Groebner bases have been designed and implemented in C/C++, Maple and Reduce [2]. In paper [3] a Mathematica program was created to simulate quantum computation. An alternative approach to analyze discrete relations arising in the last problem was developed in [4]. In addition, it is planned to use symbolic-numeric methods of factorizing the evolution operator for nonstationary Schroedinger's equation developed in [5] to investigate evolution of multi-qubit systems.

1. http://www.ricam.oeaw.ac.at/Groebner-Bases-Bibliography .
2. V. P. Gerdt, http :// arXiv . org / math . AC /0501111 .
3. V. P. Gerdt, R.Kragler, A.N.Prokopenya. Proceedings of the DST-UNISA-JINR symposium, University of South Africa, Pretoria, 2007, pp.219-232.
4. V.V. Kornyak. http://arXiv.org/ math-ph/0504048 .
5. V.P. Gerdt, A.A. Gusev, M.S. Kaschiev, V.A. Rostovtsev, V.N. Samoylov, T.V. Tupikova, S.I. Vinitsky, Y.Uwano. Programming and Computer Software, Vol. 32, No. 2, 2006, 58–-70.

Some recent references

1. Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations.
   V.P.Gerdt, Yu.A.Blinkov, V.V.Mozzhilkin. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2 (2006) 051, 26 pages. URL: arXiv:math.RA/0605334 
2. Deducing the constraints in the light-cone SU(3) Yang-Mills mechanics via Gröbner bases.
   V.P.Gerdt, A.M.Khvedelidze, Yu.G.Palii. In: “Computer Algebra in Scientific Computing / CASC 2007”, V.G.Ganzha, E.W.Mayr, E.V.Vorozhtsov (Eds.) LNCS 4770, Springer-Verlag, Berlin, 2007, pp. 145–159.
3. Symmetries and Dynamics of Discrete Systems.
   V.V. Kornyak. Computer Algebra in Scientific Computing 2007, LNCS 4770, V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Springer-Verlag Berlin Heidelberg 2007, 236-251; URL: http://ru.arxiv.org/abs/0706.3646 .
4. On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2),
   V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan and Y. Palii. J. Math. Phys. 47 112902-26 (2006)
5. On computer algebra-aided stability analysis of difference schemes generated by
   means of Gr¨obner bases.
   V.P.Gerdt, Yu.A.Blinkov. Computer Algebra and Differential Equations, Acta Academiae Aboensis, Ser. B, Vol. 67, no. 2, 2007, pp.168-177.

Upcoming conferences

Please, see also Events

• Polynomial Computer Algebra '2012
  April 23 - 28, 2012, EIMI - St. Petersburg, RUSSIA .
• Symbolic Computation and its Applications
  May 17- 20, 2012, Aachen, Germany.
• The 18th International Conference on Applications of Computer Algebra (ACA 2012)
  June 25-28, 2012, Sofia, Bulgaria .
  Special Session: "Computational Aspects of Constrained Dynamical Systems and Field Theories"
• The 3d International Conference on Symbolic Computation and Cryptography (SCC 2012)
  July 11-13, 2012, CIEM - Castro Urdiales, Spain.