News and Events

October 11, 2011

The meeting of the Seminar on Computer Algebra, CMC faculty of MSU will take place on Wednesday, October 19th, at 16:20, room 615 of building CMC of Moscow State University. Agenda:
V. V. Kornyak (LIT JINR, Dubna): "Computational Group Theory and Quantum Physics".

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.

June 3-6, 2008

The International conference "CHAOTIC MODELING AND SIMULATION" (CHAOS2008) took place in Chania Crete, Greece. Read more…

CA Workshop Dubna-2008

The 12-th three-day workshop on Computer Algebra was held on May 14-16, 2008.   Read more…

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 are:

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

• International Conference "Effective Methods in Algebraic Geometry" (MEGA 2011)
  Stockholm, Sweden. May 30 – June 3, 2011.
  The deadline for submissions of extended abstracts is Feb. 8, 2011.
• Symbolic-Numeric Computation (SNC 2011)
  San Jose, California, June 7-9, 2011. .
  Submission deadline: March 15, 2011
• The International Symposium on Symbolic and Algebraic Computation
  San Jose, California. June 8–11, 2011 .
  Abstract submission deadline: Saturday, Jan. 8, 2011, 23:59 PST.
.