Sobolev Showcase Computational Mathematics and Imaging Lab.

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Sobolev Showcase Computational Mathematics and Imaging Lab

Hardware Specification Main module 4 CPU : X7550 * 4 Intel Xeon X7550 : 2GHz, 18MB Cache, 8 Cores Memory : 64GB 40GB/s QDR IB Controller Sub module (x 5) 2 CPU : X5660 * 2 Intel Xeon X5660 : 2.8GHz, 12MB Cache, 6 Cores Memory : 48GB 40GB/s QDR IB Controller Total number of cores : 84+8 Total memory : 304 GB

UPS Output Capacity : 4000W/5000VA Output / Input Voltage : 230V Output / Input Frequency : 47-53Hz Backup time : 9.4min (full load) Auto Shutdown

Software Support ThunderboltManager Enterprise V Remote Desktop Connection Matlab Parallel Tool Box (8 workers) OpenMPI PBS Job Scheduler Intel Compiler Pro Edition for Linux (C++, FORTRAN, Math Kernel Library)

Math Kernel Library BLAS LAPACK ScaLAPACK Sparse Solvers Fast Fourier Transforms Vector Math

Hofstadter’s Butterfly Douglas R. Hofstadter (1976). "Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields".

CPU Time (MATLAB) Cores N d ddd 1 core2 cores4 cores8 cores s0.90 s0.54 s0.46 s s11.43 s6.06 s3.29 s s84.22 s43.98 s23.86 s

CPU Time (MPI) Cores N dddd 5 cores15 cores30 cores60 cores84 cores s0.09 s0.08 s s1.48 s0.83 s0.56 s0.49 s s12.33 s7.06 s8.59 s6.32 s