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East meets West: Collaboration goes National WARM CONGRATULATIONS to IRMACS Welcome to D-DRIVE whose mandate is to study and develop resources specific to distributed research in the sciences with first client groups being the following communities High Performance Computing
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East meets West: Collaboration goes National • WARM CONGRATULATIONS to IRMACS • Welcome to D-DRIVE whose mandate isto study and develop resources specific to distributed research in the sciences with first client groups being the following communities • High Performance Computing • Mathematical and Computational Science Research • Math and Science • Educational • Research 08.04.05
Pan Canadian Collaboration • We look forward to • a partnership role • with IRMACS in • Research • Research training • Outreach • educational • industrial The May AMScover features math in the NewMIC cave
Experimental Mathematics of Hyperbolic Knots (@) We have certain knowledge but no proof of this---the simplest of 998 hyperbolicvolumes (@)
Experimental Mathematics and Zeta Functions Bailey, Bradley and I have recently discovered and proved in Maple three equivalent identities after using PSLQ up to 50,000digits (250 terms) • this hypergeometric identity is • easily computer provable
ACENET and HPC@DAL ACEnet completes the Pan Canadian Consortia Dalhousie’s role will be in collaboration, visualization, and large data-set storage
Advanced Knowledge Management • Projects include • PSL • FWDM (IMU) • CiteSeer • Diverse partners include • International Mathematical Union • CMS • Symantec and IBM
Networking … • These include • AccessGrid • UCLP for • visualization • learning objects • haptics
University - Industry • MITACS - MRI • high end science • on a hand held
On to ACCESS GRID, AGATE and APPLE
Atlantic Community Mathematics Network (ACMN) • Web Resources • Networking • Research • Technology
High Performance Computing at DDrive • A super computer for mathematicians! • Apple Xserve: cluster of 64-bit PowerPC G5 processors • 2 compile nodes: 2.5 GHz dual G5, 8Gbyte memory, 250 Gbyte disk, 30” display • 65 compute nodes: 2.3 Ghz dual G5, 80 Gbyte disk • 35 TByte RAID array storage • Theoretical peak performance: 600 GFlops
Software and Benchmarking • Operating System: Apple Mac OS X 10.x • Message Passing: MPI • Compilers: gcc 3.4, 4.0; IBM XL C/Fortran • Management: Xgrid (Apple), Torque (OpenPBS), … • The HPC Challenge Benchmark
Main uses of the cluster • Mathematical research • Collaboration with other HPC groups in Dalhousie: Computational Chemistry, Physics, etc. • Cdn collaboration: IRMACS, ACEnet, WestGrid, etc. • Grid Computing: cluster of super computers, extra large datasets, the most challenging problems • International collaboration ….. and Apple
Another pure mathematics project • Search for cubic cages: 3-valent graphs of given girth with as few vertices as possible. • Translated to search for specific subgroups of groups G1 := < a,b,c | a^2, b^2, c^2 > and G2 := < x, y | x^2 >. • lowx: a parallel implementation of the low-index subgroups algorithm. Fastest known algorithm to find normal subgroups. • Marston Conder – University of Auckland, New Zealand, Peter Dobcsanyi – Dalhousie
An interdisciplinary project • Symmetry + Integer Programming Operations Research, Mathematics, Computer Science • Group theoretical methods in solving large integer linear programming problems. • Analyzing the complete MIPLIB 2003 mixed integer problem library. • Istvan Maros – Imperial College, Leonard Soicher – Queen Mary Univ of London, Peter Dobcsanyi – Dalhousie, Imperial, London e-Science Centre • The first Cross-Atlantic Grid ?