Optimizing Large-Scale ODE Simulations

Preprint English OPEN
Mulansky, Mario;
  • Subject: Nonlinear Sciences - Chaotic Dynamics | Computer Science - Performance | Physics - Computational Physics

We present a strategy to speed up Runge-Kutta-based ODE simulations of large systems with nearest-neighbor coupling. We identify the cache/memory bandwidth as the crucial performance bottleneck. To reduce the required bandwidth, we introduce a granularity in the simulat... View more
  • References (28)
    28 references, page 1 of 3

    [1] K. Ahnert, D. Demidov, and M. Mulansky, Solving ordinary differential equations on GPUs, in Numerical Computations with GPUs, Springer, 2014, pp. 125- 157.

    [2] K. Ahnert and M. Mulansky, odeint. http://www.odeint.com, 2009-2014.

    [3] , odeint - Solving ordinary differential equations in C++, in Symposium on the Numerical Solution of Differential Eq. and their Applications, AIP Conference Proceedings, 2011.

    [4] G. Bordyugov, A. Pikovsky, and M. Rosenblum, Self-emerging and turbulent chimeras in oscillator chains, Physical Review E, 82 (2010), p. 035205.

    [5] P. Conway, N. Kalyanasundharam, G. Donley, K. Lepak, and B. Hughes, Cache hierarchy and memory subsystem of the amd opteron processor, IEEE micro, 30 (2010), pp. 16-29.

    [6] D. Demidov, K. Ahnert, K. Rupp, and P. Gottschling, Programming CUDA and OpenCL: A case study using modern C++ libraries, SIAM Journal on Scientific Computing, 35(5) (2013), pp. C453-C472.

    [7] S. Dindar, E.B. Ford, M. Juric, Y.I. Yeo, J. Gao, A.C. Boley, B. Nelson, and J. Peters, Swarm-NG: A CUDA library for parallel n-body integrations with focus on simulations of planetary systems, New Astronomy, 23 (2013), pp. 6-18.

    [8] C. Ding and K. Kennedy, The memory of bandwidth bottleneck and its amelioration by a compiler, in Proceedings of the 14th International Symposium on Parallel and Distributed Processing IPDPS., IEEE, 2000, pp. 181-189.

    [9] P. Est´erie, J. Falcou, M. Gaunard, and J.-T. Laprest´e, Boost.SIMD: generic programming for portable simdization, in Proceedings of the 2014 Workshop on programming models for SIMD/Vector processing, ACM, 2014, pp. 1-8.

    [10] S. Flach, D.O. Krimer, and C. Skokos, Universal spreading of wave packets in disordered nonlinear systems, Physical Review Letters, 102 (2009), p. 024101.

  • Related Research Results (1)
    Inferred by OpenAIRE
    olsos software on GitHub
  • Related Organizations (1)
  • Metrics
Share - Bookmark