<s>
The	O
following	O
is	O
a	O
timeline	B-Algorithm
of	I-Algorithm
numerical	I-Algorithm
analysis	I-Algorithm
after	I-Algorithm
1945	I-Algorithm
,	O
and	O
deals	O
with	O
developments	O
after	O
the	O
invention	O
of	O
the	O
modern	O
electronic	O
computer	O
,	O
which	O
began	O
during	O
Second	O
World	O
War	O
.	O
</s>
<s>
Crank	B-Algorithm
–	I-Algorithm
Nicolson	I-Algorithm
method	I-Algorithm
was	O
developed	O
by	O
Crank	O
and	O
Nicolson	O
.	O
</s>
<s>
Dantzig	O
introduces	O
the	O
simplex	B-Algorithm
method	I-Algorithm
(	O
voted	O
one	O
of	O
the	O
top	O
10	O
algorithms	O
of	O
the	O
20th	O
century	O
)	O
in	O
1947	O
.	O
</s>
<s>
Successive	B-Algorithm
over-relaxation	I-Algorithm
was	O
devised	O
simultaneously	O
by	O
D.M.	O
</s>
<s>
Hestenes	O
,	O
Stiefel	O
,	O
and	O
Lanczos	O
,	O
all	O
from	O
the	O
Institute	O
for	O
Numerical	B-General_Concept
Analysis	I-General_Concept
at	O
the	O
National	O
Bureau	O
of	O
Standards	O
,	O
initiate	O
the	O
development	O
of	O
Krylov	O
subspace	O
iteration	B-Algorithm
methods	I-Algorithm
.	O
</s>
<s>
Equations	O
of	O
State	O
Calculations	O
by	O
Fast	O
Computing	O
Machines	O
introduces	O
the	O
Metropolis	B-Algorithm
–	I-Algorithm
Hastings	I-Algorithm
algorithm	I-Algorithm
.	O
</s>
<s>
Householder	O
invents	O
his	O
eponymous	B-Algorithm
matrices	I-Algorithm
and	O
transformation	B-Algorithm
method	I-Algorithm
(	O
voted	O
one	O
of	O
the	O
top	O
10	O
algorithms	O
of	O
the	O
20th	O
century	O
)	O
.	O
</s>
<s>
In	O
computational	O
fluid	O
dynamics	O
and	O
numerical	O
differential	O
equations	O
,	O
Lax	O
and	O
Wendroff	O
invent	O
the	O
Lax-Wendroff	B-Algorithm
method	I-Algorithm
.	O
</s>
<s>
The	O
MacCormack	B-Algorithm
method	I-Algorithm
,	O
for	O
the	O
numerical	B-General_Concept
solution	I-General_Concept
of	O
hyperbolic	O
partial	O
differential	O
equations	O
in	O
computational	O
fluid	O
dynamics	O
,	O
is	O
introduced	O
by	O
MacCormack	O
in	O
1969	O
.	O
</s>
<s>
Creation	O
of	O
LINPACK	B-Application
and	O
associated	B-Device
benchmark	I-Device
by	O
Dongarra	O
et	O
al.	O
,	O
as	O
well	O
as	O
BLAS	B-Application
.	O
</s>
<s>
Fast	B-Algorithm
multipole	I-Algorithm
method	I-Algorithm
(	O
voted	O
one	O
of	O
the	O
top	O
10	O
algorithms	O
of	O
the	O
20th	O
century	O
)	O
invented	O
by	O
Rokhlin	O
and	O
Greengard	O
.	O
</s>
