<s>
In	O
applied	O
mathematics	O
,	O
the	O
name	O
finite	B-Algorithm
pointset	I-Algorithm
method	I-Algorithm
is	O
a	O
general	O
approach	O
for	O
the	O
numerical	O
solution	O
of	O
problems	O
in	O
continuum	O
mechanics	O
,	O
such	O
as	O
the	O
simulation	O
of	O
fluid	O
flows	O
.	O
</s>
<s>
The	O
Lagrangian	O
approach	O
is	O
also	O
known	O
(	O
especially	O
in	O
the	O
computer	O
graphics	O
field	O
)	O
as	O
particle	B-Algorithm
method	I-Algorithm
.	O
</s>
<s>
Finite	B-Algorithm
pointset	I-Algorithm
methods	I-Algorithm
are	O
meshfree	B-Algorithm
methods	I-Algorithm
and	O
therefore	O
are	O
easily	O
adapted	O
to	O
domains	O
with	O
complex	O
and/or	O
time-evolving	O
geometries	O
and	O
moving	O
phase	O
boundaries	O
(	O
such	O
as	O
a	O
liquid	O
splashing	O
into	O
a	O
container	O
,	O
or	O
the	O
blowing	O
of	O
a	O
glass	O
bottle	O
)	O
without	O
the	O
software	O
complexity	O
that	O
would	O
be	O
required	O
to	O
handle	O
those	O
features	O
with	O
topological	O
data	O
structures	O
.	O
</s>
<s>
They	O
can	O
be	O
useful	O
in	O
non-linear	O
problems	O
involving	O
viscous	B-Application
fluids	O
,	O
heat	O
and	O
mass	O
transfer	O
,	O
linear	O
and	O
non-linear	O
elastic	O
or	O
plastic	O
deformations	O
,	O
etc	O
.	O
</s>
<s>
However	O
,	O
the	O
large	O
value	O
of	O
the	O
speed	O
of	O
sound	O
restricts	O
the	O
time	O
step	O
to	O
be	O
very	O
small	O
due	O
to	O
the	O
CFL-condition	B-Algorithm
.	O
</s>
