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Parallelization of the numerical lyapunov calculation for the fermi-pasta-ulam chain (2001)

by F Rastello, T Dauxois
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Efficient tiling for an ODE discrete integration program: redundant tasks

by Instead Of Trapezoidal, Fabrice Rastello, Thierry Dauxois
"... In this paper, we present an efficient and simple solution to the parallelization of discrete integration programs of ordinary differential equations (ODE). The main technique used is known as loop tiling. To avoid the overhead due to code complexity and border effects, we introduce redundant tasks ..."
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In this paper, we present an efficient and simple solution to the parallelization of discrete integration programs of ordinary differential equations (ODE). The main technique used is known as loop tiling. To avoid the overhead due to code complexity and border effects, we introduce redundant tasks and we use non parallelepiped tiles. Thanks both to cache reuse (4:3) and coarse granularity (24:5) , the speedup using 25 processors over the non-tiled sequential implementation is larger than 106.
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...ction 4. Finally, Section 5 provides performance results, together with a short discussion on heterogeneous platforms. This article corresponds to a short version of the corresponding research report =-=[11]-=-. 2. Description of the code The program we aim to parallelize here deals with the study of Lyapnuov exponents of the Fermi-Pasta-Ulam (FPU) chain. Roughly speaking this corresponds to study the degre...

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