||At the heart of many scientific applications is the solution of
algebraic systems, such as linear systems of equations, eigenvalue
problems, and optimization problems, to name a few. TOPS,
which stands for Towards Optimal Petascale Simulations, is a SciDAC
applied math center focused on the development of solvers for
tackling these algebraic systems, as well as the deployment of such
technologies in large-scale scientific applications of
interest to the U.S. Department of Energy. In this paper, we highlight
some of the solver technologies we have developed in optimization
and matrix computations. We also describe some accomplishments
achieved using these technologies in UNEDF, a SciDAC application
project on nuclear physics.
||The work under TOPS at ANL and LBNL
was supported by the Office of Advanced Scientific Computing Research of
the U.S. Department of Energy under contracts
The UNEDF SciDAC collaboration was supported by
the U.S. Department of Energy under
grant numbers DE-FC02-09ER41582.
This work was also supported by
the Office of Nuclear Physics of the U.S. Department of Energy
under grant numbers
DE-FG02-87ER40371 (Iowa State),
DE-FG02-07ER41529 (Univ. of Tennessee)
and DE-FG02-96ER40963 (Univ. of Tennessee).
Computational resources were provided through an
INCITE award (James Vary, PI) at ORNL and ANL, and by the
Laboratory Computing Resource Center (LCRC) at ANL,
the National Energy Research Scientific Computing Center (NERSC) at LBNL,
and the National Center for Computational Sciences at ORNL.
author = "E Ng, J Sarich, S M Wild, T Munson, H Aktulga, C Yang,
P Maris, J P Vary, M Kortelainen, W Nazarewicz,
T Papenbrock, N Schunck, M V Stoitsov, M G Bertolli",
title = "Advancing Nuclear Physics Through TOPS Solvers and Tools",
booktitle = "Proceedings of the SciDAC Conference",
month = "July",
year = "2011",
location = "Denver, CO, USA",
notes = "Available online at http://press.mcs.anl.gov/scidac2011/scidac-2011-papers"