On Time Integration for Strong Scalability

Event Sponsor: 
Mathmatics and Computer Science Division Seminar - LANS
Start Date: 
Jul 17 2019 - 10:30am
Building/Room: 
Building 240/Room 1404-1405
Location: 
Argonne National Laboratory
Speaker(s): 
Jed Brown
Speaker(s) Title: 
CU Boulder

Modern computer architecture is characterized by increasing compute capacity (via vectorization and intranode parallelism) and modest improvements in network and DRAM bandwidth while latency has remained nearly constant.  As a result, the prospects for PDE-based simulation to reduce time to solution are poor when using current algorithms.  We consider a collection of related numerical methods and implementation techniques for shortening the critical path of accurate and stable transient simulation as a way to improve strong scalability and reduce memory bandwidth demands.  This approach unifies some "parallel in time" methods in terms of diagonal Runge-Kutta schemes, achieve different tradeoffs in the multi-objective Pareto front of {accuracy, time, cost}, and confronts numerical stability challenges.  We consider several implementation strategies and include a preliminary evaluation of the methods in the context of stiff and non-stiff PDEs.

Miscellaneous Information: 

 

This seminar will be streamed. See details at https://anlpress.cels.anl.gov/cels-seminars/

Google Calendar: https://goo.gl/L7uhjK