<s>
In	O
numerical	O
mathematics	O
,	O
the	O
regularized	B-Algorithm
meshless	I-Algorithm
method	I-Algorithm
(	O
RMM	O
)	O
,	O
also	O
known	O
as	O
the	O
singular	O
meshless	O
method	O
or	O
desingularized	O
meshless	O
method	O
,	O
is	O
a	O
meshless	O
boundary	O
collocation	B-Algorithm
method	I-Algorithm
designed	O
to	O
solve	O
certain	O
partial	O
differential	O
equations	O
whose	O
fundamental	O
solution	O
is	O
explicitly	O
known	O
.	O
</s>
<s>
The	O
RMM	O
is	O
a	O
strong-form	O
collocation	B-Algorithm
method	I-Algorithm
with	O
merits	O
being	O
meshless	O
,	O
integration-free	O
,	O
easy-to-implement	O
,	O
and	O
high	O
stability	O
.	O
</s>
<s>
Like	O
the	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solutions	I-Algorithm
(	O
MFS	O
)	O
,	O
the	O
numerical	O
solution	O
is	O
approximated	O
by	O
a	O
linear	O
combination	O
of	O
double	O
layer	O
kernel	O
functions	O
with	O
respect	O
to	O
different	O
source	O
points	O
.	O
</s>
<s>
These	O
days	O
the	O
finite	B-Application
element	I-Application
method	I-Application
(	O
FEM	O
)	O
,	O
finite	B-Algorithm
difference	I-Algorithm
method	I-Algorithm
(	O
FDM	O
)	O
,	O
finite	B-Algorithm
volume	I-Algorithm
method	I-Algorithm
(	O
FVM	O
)	O
,	O
and	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
BEM	O
)	O
are	O
dominant	O
numerical	O
techniques	O
in	O
numerical	O
modelings	O
of	O
many	O
fields	O
of	O
engineering	O
and	O
sciences	O
.	O
</s>
<s>
Over	O
the	O
past	O
decades	O
,	O
considerable	O
efforts	O
have	O
been	O
devoted	O
to	O
alleviating	O
or	O
eliminating	O
these	O
difficulties	O
,	O
leading	O
to	O
the	O
development	O
of	O
meshless/meshfree	O
boundary	O
collocation	B-Algorithm
methods	I-Algorithm
which	O
require	O
neither	O
domain	O
nor	O
boundary	O
meshing	O
.	O
</s>
