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High Performance Computing and Grid in Latvia: Status and Perspectives

High Performance Computing and Grid in Latvia: Status and Perspectives. Janis Rimshans and Bruno Martuzans Institute of Mathematics and Computer Science, University of Latvia, Riga, LV-1459, Latvia. BaltGrid, 2004, Vilnius, Lithuania. Introduction. What? HPC actual problems

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High Performance Computing and Grid in Latvia: Status and Perspectives

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  1. High Performance Computing and Grid in Latvia: Status and Perspectives Janis Rimshansand Bruno Martuzans Institute of Mathematics and Computer Science, University of Latvia, Riga, LV-1459, Latvia BaltGrid, 2004, Vilnius, Lithuania

  2. Introduction • What? • HPC actual problems · charge and mass transfer in a non-linear media ·ferroelectric/ferromagnetic and critical indices • Why? • Multidimensional and complicated geometry problems need to be supported by effective calculations • How? • Numerical methods, Monte Carlo simulations • Parallel programming • So what? • Grid connections to supercomputers

  3. Charge transfer:IMCS University of Latvia (Latvia) & MCI Southern Denmark University, supported by CIRIUS (Denmark) Optically sensitive semiconductor plasma , , , ,

  4. Charge transfer : IMCS University of Latvia (Latvia) & MCI Southern Denmark University, supported by CIRIUS (Denmark) R.V.N. Melnik and J. Rimshans, Monotone schemes for time-dependentenergy balance models, ANZIAM J. 45 (E), C729-C743, 2004 (Proc. of 11thComputational Techniques and Applications Conference, CTAC-2003) R.V.N. Melnik and J.Rimshans, Numerical Analysis of Fast Transport in Optically Sensitive Semiconductors, Special Issue of DCDIS – 2003, DCDIS Series B, ISSN 1492-8760, Guelph, Ontario, Canada, p.1-6.

  5. Shock waves:IMCS University of Latvia (Latvia) & DMR National Science Foundation (USA) Shocked solid conductors B.Martuzans. Yu. Skryl, M.M. Kuklja, Dynamic Response of the Electrone-Hole Systemin the shocked silicon. Latvian Journal of Physics and Technical Sciences. N4, pp. 56-68, 2003 Yu. Skryl, M.M.Kuklja, Numerical simulation of electron and hole diffusion in shocked silicon, AIP Conference Proceedings, 706(1), 267-270 (2004).

  6. Convection-diffusion :IMCS University of Latvia (Latvia) & SMS&EPCC University of Edinburgh, supported by Royal Society (UK) Advective transport J.Rimshans and N.Smyth, Monotone exponential difference scheme for advection diffusion equation, Submitted for Numerical methods for partial differential equations, 2004.

  7. Ferroelectric materials under alternate driving: ISSP&IMCS University of Latvia (Latvia) Probability density: key entities Thermal noise strength is the most delicate counterpart of theory. Understanding of its dynamical origin is in progress Probability density of polarization Variation of energy J. Hlinka and E. Klotins, Application of elastostatic Green function tensor technique to electrostriction in cubic, Hexagonal and Orthorombic crystals, J. Phys.: Condens. Matter 15 (2003) 5755-5764

  8. Ferroelectric materials under alternate driving: ISSP&IMCS University of Latvia (Latvia) Probability density of polarization Parameters of the model: Quartic Landau-Ginzburg energy functional+periodic driving. Amplitude of driving voltage = A0/2 Dimensionless frequency = 10^(-4) Diffusion constant (noise strength = 1/20 Polarization = first moment of the instantaneous probability density t P E. Klotins, Relaxation dynamics of metastable systems: application to polar medium, Physica A, 340 (2004) 196-200

  9. Ferroelectric materials under alternate driving: IMCS University of Latvia (Latvia) Spatially homogeneous case J. Kaupužs, J. Rimshans, Polarization kinetics in ferroelectrics with regard to fluctuations, Cond-mat/0405124, 2004.

  10. Critical exponents: IMCS University of Latvia (Latvia) perturbation theory Dyson equation Predicted for 3D Ising model: Susceptibility exponent Correlation length exponent Magnetization exponent J.Kaupužs, Ann. Phys. (Leipzig) 10 (2001) 4, 299-331

  11. Critical exponents: IMCS University of Latvia (Latvia) Monte Carlo simulation results: magnetization exponent L=384 L=410 L=410 RG value J.Kaupužs, Proceedings of SPIE, vol. 5471, pp. 480-491, 2004; e-print cond-mat/0405197

  12. Main problems • Convection – diffusion •Advective transport • Convection • Monte Carlo simulations • Data transmission • Training

  13. Advective transport Ornstein-Uhlenbeck process Unconditionally monotone scheme Usual schemes FTCS, Upwind, LaxWendrof Monotone condition

  14. Advective transport Ornstein-Uhlenbeck process J.Rimshans and N.Smyth, Monotone exponential difference scheme for advection diffusion equation,Submitted for Numerical methods for partial differential equations, 2004.

  15. Advective transport Ornstein-Uhlenbeck process J.Rimshans and N.Smyth, Monotone exponential difference scheme for advection diffusion equation,Submitted for Numerical methods for partial differential equations, 2004.

  16. Convection-diffusion Charge transfer Explicit methods Implicit Half Implicit

  17. Ferroelectric materials under alternate driving: IMCS University of Latvia (Latvia) Fokker-Planck equation Landau-Ginzburg hamiltonian Langevin equation , dimensions J.Kaupužs, J.Rimshans, Polarization kinetics in ferroelectrics with regard to fluctuations, cond-mat/0405124, 2004.

  18. Users of GEANT GEANT GEANT – GN2-Multi-Gigabit European Academic Network Higher education institutions 47 Research institutes 11 Libraries 15 State institutions 3 Others 37 Total 113

  19. Very Long Baseline Interferometry Network EPCC SDU

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