Introduction:
The program focuses on the role of numerical analysis,
simulation
and scientific computing for understanding and illuminating our
complex world. The development of computational methodologies
and framework has been a mainstay of the applied mathematics
community for more than 50 years. The IMA has not sponsored a
program in this general area since the annual year in High
Performance Computation in 1996-97. We feel that the time is
right to revisit this topic, and the broad community that it
represents.
The annual year outlined below will broadly survey and sample
current activities in this field, ranging on one hand from
purely mathematical developments regarding numerical
algorithms, numerical methods and reduced order models; to
developments triggered by changing computational infrastructure
and high performance computing; to prominent issues arising in
large computations with substantial uncertainty. Approximately
one third of the year will focus primarily on application areas
where these mathematical ideas have (and will continue have)
great impact. We will focus first on computing problems with
societal importance, and secondly, on computing in sports and
the arts.
Simulating our Complex World will be organized around seven
workshops. Each workshop will contain a mixture of mathematical
analysis, practical analysis and applications; the specific
emphasis will shift throughout the year but the goal is to keep
different facets of the subject wholly engaged at all times.
The kick-off workshop on computing with uncertainty will
provide a broad overview of many of the important computational
problems of today, in the context of the general question of
how to quantify and manage uncertainty on the ever larger
computations that are required for solving the problems that
computers are being asked to solve.
As is traditional, the annual year will have as foundation a
group of long term visitors and postdocs,
as well as a mixture of intermediate and short term
visitors. Each workshop will be preceded by a 1-2 day tutorial
outlining the main ideas of the workshop, to make it accessible
to a broader audience. The topic of the annual year lends
itself very well to strong participation with industry and the
national labs, and it is our intent to facilitate their
vigorous involvement in the workshops. Indeed, many of the
workshop topics are themselves of central importance to the
national labs, and it is our hope that this will lead to strong
and productive interactions.
Tentative Long
Term Visitors:
The following scientists are confirmed or highly likely as
long-term visitors
during the program. Other long-term visitors are currently
being arranged.
| Name |
Department |
Affiliation |
Period of Visit |
