<s>
Multiscale	B-Algorithm
modeling	I-Algorithm
or	O
multiscale	B-Algorithm
mathematics	I-Algorithm
is	O
the	O
field	O
of	O
solving	O
problems	O
that	O
have	O
important	O
features	O
at	O
multiple	O
scales	O
of	O
time	O
and/or	O
space	O
.	O
</s>
<s>
Important	O
problems	O
include	O
multiscale	B-Algorithm
modeling	I-Algorithm
of	O
fluids	O
,	O
solids	O
,	O
polymers	O
,	O
proteins	O
,	O
nucleic	O
acids	O
as	O
well	O
as	O
various	O
physical	O
and	O
chemical	O
phenomena	O
(	O
like	O
adsorption	O
,	O
chemical	O
reactions	O
,	O
diffusion	O
)	O
.	O
</s>
<s>
In	O
such	O
a	O
case	O
,	O
it	O
may	O
be	O
necessary	O
to	O
use	O
multiscale	B-Algorithm
modeling	I-Algorithm
to	O
accurately	O
model	O
the	O
system	O
such	O
that	O
the	O
stress	O
tensor	O
can	O
be	O
extracted	O
without	O
requiring	O
the	O
computational	O
cost	O
of	O
a	O
full	O
microscale	O
simulation	O
.	O
</s>
<s>
The	O
aforementioned	O
DOE	O
multiscale	B-Algorithm
modeling	I-Algorithm
efforts	O
were	O
hierarchical	O
in	O
nature	O
.	O
</s>
<s>
In	O
physics	O
and	O
chemistry	O
,	O
multiscale	B-Algorithm
modeling	I-Algorithm
is	O
aimed	O
at	O
the	O
calculation	O
of	O
material	O
properties	O
or	O
system	O
behavior	O
on	O
one	O
level	O
using	O
information	O
or	O
models	O
from	O
different	O
levels	O
.	O
</s>
<s>
Multiscale	B-Algorithm
modeling	I-Algorithm
is	O
particularly	O
important	O
in	O
integrated	O
computational	O
materials	O
engineering	O
since	O
it	O
allows	O
the	O
prediction	O
of	O
material	O
properties	O
or	O
system	O
behavior	O
based	O
on	O
knowledge	O
of	O
the	O
process-structure-property	O
relationships	O
.	O
</s>
<s>
In	O
operations	O
research	O
,	O
multiscale	B-Algorithm
modeling	I-Algorithm
addresses	O
challenges	O
for	O
decision-makers	O
that	O
come	O
from	O
multiscale	O
phenomena	O
across	O
organizational	O
,	O
temporal	O
,	O
and	O
spatial	O
scales	O
.	O
</s>
<s>
This	O
theory	O
fuses	O
decision	O
theory	O
and	O
multiscale	B-Algorithm
mathematics	I-Algorithm
and	O
is	O
referred	O
to	O
as	O
multiscale	O
decision-making	O
.	O
</s>
<s>
In	O
meteorology	O
,	O
multiscale	B-Algorithm
modeling	I-Algorithm
is	O
the	O
modeling	O
of	O
the	O
interaction	O
between	O
weather	O
systems	O
of	O
different	O
spatial	O
and	O
temporal	O
scales	O
that	O
produces	O
the	O
weather	O
that	O
we	O
experience	O
.	O
</s>
<s>
On	O
the	O
other	O
hand	O
,	O
a	O
computationally	O
feasible	O
Global	B-Application
climate	I-Application
model	I-Application
(	O
GCM	O
)	O
,	O
with	O
grid	O
size	O
~	O
,	O
cannot	O
see	O
the	O
smaller	O
cloud	O
systems	O
.	O
</s>
<s>
Besides	O
the	O
many	O
specific	O
applications	O
,	O
one	O
area	O
of	O
research	O
is	O
methods	O
for	O
the	O
accurate	O
and	O
efficient	O
solution	O
of	O
multiscale	B-Algorithm
modeling	I-Algorithm
problems	O
.	O
</s>
