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 • Mathematical and Computational Science Research • Math and Science Educational Research

08.04.05

We look forward toa partnership rolewith IRMACS in

Research Research training Outreach

• educational • industrial

Pan Canadian Collaboration

The May

AMS cover

features math in

the NewMIC

cave

Experimental Mathematics of Hyperbolic Knots

(@)

(@)

We have certain

knowledge but no

proof of this---the

simplest of 998

hyperbolic volumes

Experimental Mathematics and Zeta Functions

Bailey, Bradley and I have

recently discovered and

proved in Maple three equivalent

identities

• this hypergeometric identity is easily computer provable

after using PSLQ up to 50,000 digits (250 terms)

ACEnet completes the Pan Canadian Consortia

ACENET and HPC@DAL

Dalhousie’s role will be in

collaboration, visualization, and

large data-set storage

Projects include• PSL• FWDM (IMU)• CiteSeer•

Advanced KnowledgeManagement

Diverse partners include• International Mathematical Union• CMS • Symantec and IBM

These include• AccessGrid• UCLP for

• visualization• learning objects• haptics

Networking …

MITACS - MRI• high end science on a hand held

University - Industry

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 ?