<s>
Pantelides	B-Algorithm
algorithm	I-Algorithm
in	O
mathematics	O
is	O
a	O
systematic	O
method	O
for	O
reducing	O
high-index	O
systems	O
of	O
differential-algebraic	O
equations	O
to	O
lower	O
index	O
.	O
</s>
<s>
Pantelides	B-Algorithm
algorithm	I-Algorithm
is	O
implemented	O
in	O
several	O
significant	O
equation-based	O
simulation	O
programs	O
such	O
as	O
gPROMS	O
,	O
Modelica	B-Application
and	O
EMSO	B-Application
.	O
</s>
