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 V3.0

http://sobolev.kaist.ac.kr

• 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 core 2 cores 4 cores 8 cores

10 1.64 s 0.90 s 0.54 s 0.46 s

20 22.70 s 11.43 s 6.06 s 3.29 s

30 166.46 s 84.22 s 43.98 s 23.86 s

CPU Time (MPI)

Cores N dddd

5 cores 15 cores 30 cores 60 cores 84 cores

10 0.20 s 0.09 s 0.08 s 0.08 s 0.08 s

20 4.14 s 1.48 s 0.83 s 0.56 s 0.49 s

30 35.65 s 12.33 s 7.06 s 8.59 s 6.32 s