<s>
In	O
mathematics	O
,	O
the	O
abstract	B-Algorithm
additive	I-Algorithm
Schwarz	I-Algorithm
method	I-Algorithm
,	O
named	O
after	O
Hermann	O
Schwarz	O
,	O
is	O
an	O
abstract	O
version	O
of	O
the	O
additive	B-Algorithm
Schwarz	I-Algorithm
method	I-Algorithm
for	O
boundary	O
value	O
problems	O
on	O
partial	O
differential	O
equations	O
,	O
formulated	O
only	O
in	O
terms	O
of	O
linear	B-Language
algebra	I-Language
without	O
reference	O
to	O
domains	O
,	O
subdomains	O
,	O
etc	O
.	O
</s>
<s>
Many	O
if	O
not	O
all	O
domain	B-Algorithm
decomposition	I-Algorithm
methods	I-Algorithm
can	O
be	O
cast	O
as	O
abstract	B-Algorithm
additive	I-Algorithm
Schwarz	I-Algorithm
method	I-Algorithm
,	O
which	O
is	O
often	O
the	O
first	O
and	O
most	O
convenient	O
approach	O
to	O
their	O
analysis	O
.	O
</s>
