<s>
In	O
numerical	B-General_Concept
analysis	I-General_Concept
,	O
multi-time-step	B-Algorithm
integration	I-Algorithm
,	O
also	O
referred	O
to	O
as	O
multiple-step	O
or	O
asynchronous	O
time	O
integration	O
,	O
is	O
a	O
numerical	O
time-integration	O
method	O
that	O
uses	O
different	O
time-steps	O
or	O
time-integrators	O
for	O
different	O
parts	O
of	O
the	O
problem	O
.	O
</s>
<s>
There	O
are	O
different	O
approaches	O
to	O
multi-time-step	B-Algorithm
integration	I-Algorithm
.	O
</s>
<s>
In	O
the	O
past	O
few	O
years	O
a	O
number	O
of	O
research	O
articles	O
have	O
addressed	O
the	O
development	O
of	O
strong	O
multi-time-step	B-Algorithm
algorithms	O
.	O
</s>
<s>
Other	O
approaches	O
to	O
multi-time-step	B-Algorithm
integration	I-Algorithm
in	O
the	O
context	O
of	O
operator	O
splitting	O
have	O
also	O
been	O
developed	O
;	O
i.e.	O
,	O
multi-rate	O
GARK	O
and	O
multi-step	O
methods	O
for	O
molecular	O
dynamics	O
simulations	O
.	O
</s>
