<s>
List	B-Application
of	I-Application
uncertainty	I-Application
propagation	I-Application
software	I-Application
used	O
to	O
perform	O
propagation	B-General_Concept
of	I-General_Concept
uncertainty	I-General_Concept
calculations	O
:	O
</s>
<s>
Desktop	O
calculator	O
(	O
Windows	B-Application
)	O
,	O
handles	O
multiple	O
expressions	O
.	O
</s>
<s>
Library	B-Library
and	O
script	O
to	O
process	O
tabular	O
values	O
.	O
</s>
<s>
Potent	O
web	O
interface	O
powered	O
by	O
webMathematica	B-Application
to	O
evaluate	O
uncertainty	O
symbolically	O
using	O
GUM	O
.	O
</s>
<s>
is	O
an	O
open	B-License
source	I-License
numerical	O
Python	B-Language
library	B-Library
for	O
doing	O
UQ	O
using	O
advanced	O
method	O
of	O
Monte	O
Carlo	O
and	O
polynomial	O
approximation	O
,	O
with	O
an	O
emphasis	O
on	O
composability	O
and	O
polynomial	O
chaos	O
expansion	O
.	O
</s>
<s>
Easy	O
to	O
integrate	O
into	O
existing	O
Python	B-Language
code	I-Language
with	O
libraries	O
that	O
can	O
be	O
directly	O
imported	O
into	O
the	O
user	O
's	O
environment	O
.	O
</s>
<s>
Packages	O
can	O
be	O
downloaded	O
from	O
the	O
Python	B-Language
Package	O
Index	O
(	O
via	O
pip	O
)	O
or	O
through	O
Conda	O
.	O
</s>
<s>
is	O
a	O
MATLAB	B-Language
toolbox	O
for	O
verified	O
computing	O
under	O
Dempster	O
–	O
Shafer	O
theory	O
.	O
</s>
<s>
is	O
a	O
graphing	O
package	O
that	O
supports	O
error	B-General_Concept
propagation	I-General_Concept
directly	O
into	O
the	O
error	O
bars	O
.	O
</s>
<s>
is	O
a	O
Python3	B-Language
library	B-Library
intended	O
to	O
facilitate	O
verification	O
,	O
validation	O
and	O
uncertainty	O
quantification	O
(	O
VVUQ	O
)	O
for	O
a	O
wide	O
variety	O
of	O
simulations	O
.	O
</s>
<s>
error	O
propagating	O
calculator	O
(	O
epc	O
)	O
is	O
an	O
open	B-License
source	I-License
script-based	O
tool	O
that	O
calculates	O
the	O
propagation	B-General_Concept
of	I-General_Concept
errors	I-General_Concept
in	O
variables	O
.	O
</s>
<s>
Perl	B-Language
Script	O
.	O
</s>
<s>
Free	O
cross-platform	B-Operating_System
calculator	O
(	O
macOS	B-Application
,	O
Windows	B-Application
,	O
Linux	B-Application
)	O
written	O
in	O
Python	B-Language
.	O
</s>
<s>
Essentially	O
a	O
GUI	O
interface	O
for	O
the	O
Python	B-Language
Uncertainties	O
library	B-Library
.	O
</s>
<s>
Evaluates	O
native	O
python	B-Language
expressions	O
.	O
</s>
<s>
No	O
prior	O
knowledge	O
of	O
python	B-Language
language	I-Language
is	O
required	O
for	O
use	O
.	O
</s>
<s>
Windows	B-Application
installer	O
includes	O
python	B-Language
dependencies	O
.	O
</s>
<s>
Library	B-Library
and	O
stand-alone	O
(	O
via	O
the	O
Python	B-Language
shell	O
)	O
.	O
</s>
<s>
Involves	O
automatic	B-Algorithm
differentiation	I-Algorithm
,	O
possibly	O
large-scale	O
sparse	O
.	O
</s>
<s>
Scripting	O
language	O
called	O
''	O
,	O
similar	O
to	O
C	B-Language
.	O
</s>
<s>
is	O
a	O
Monte	O
Carlo	O
simulator	O
and	O
uncertainty	O
estimator	O
for	O
Windows	B-Application
.	O
</s>
<s>
An	O
implementation	O
exists	O
in	O
R	B-Language
and	O
add-ons	O
for	O
Excel	B-Application
(	O
real	O
and	O
complex	O
numbers	O
)	O
.	O
</s>
<s>
is	O
a	O
programmable	O
Windows	B-Application
command-line	O
tool	O
with	O
full	O
support	O
for	O
uncertainty	O
calculations	O
involving	O
real	O
and	O
complex	O
quantities	O
.	O
</s>
<s>
The	O
propagator	O
is	O
an	O
open	B-License
source	I-License
calculator	O
that	O
supports	O
error	B-General_Concept
propagation	I-General_Concept
developed	O
by	O
Thomas	O
Huber	O
.	O
</s>
<s>
is	O
a	O
Python	B-Language
library	B-Library
for	O
first	O
order	O
uncertainty	B-General_Concept
propagation	I-General_Concept
with	O
correlations	O
.	O
</s>
<s>
Features	O
transparent	O
handling	O
of	O
arrays	O
,	O
dictionaries	O
and	O
dictionaries	O
of	O
arrays	O
;	O
numerical	O
computation	O
with	O
uncertainty	B-General_Concept
propagation	I-General_Concept
of	O
splines	O
,	O
matrix	O
operations	O
,	O
differential	O
equations	O
,	O
integrals	O
,	O
power	O
series	O
and	O
equations	O
.	O
</s>
<s>
Not	O
trivial	O
to	O
install	O
on	O
Windows	B-Application
,	O
a	O
compiled	O
binary	O
is	O
provided	O
.	O
</s>
<s>
is	O
a	O
free	O
software	O
for	O
Windows	B-Application
dedicated	O
to	O
the	O
evaluation	O
of	O
measurement	O
uncertainty	O
using	O
Monte	O
Carlo	O
simulations	O
according	O
to	O
Supplement	O
1	O
to	O
the	O
GUM	O
.	O
</s>
<s>
MATLAB	B-Language
Runtime	O
required	O
.	O
</s>
<s>
Open	B-License
source	I-License
(	O
.NET	O
targeting	O
library	B-Library
)	O
.	O
</s>
<s>
is	O
a	O
native	O
Windows	B-Application
software	O
to	O
perform	O
uncertainty	O
calculations	O
according	O
to	O
the	O
Supplement	O
1	O
to	O
the	O
Guide	O
to	O
the	O
expression	O
of	O
uncertainty	O
in	O
measurement	O
using	O
Monte-Carlo	O
method	O
.	O
</s>
<s>
Windows	B-Application
desktop	O
GUM	O
+	O
Monte	O
Carlo	O
.	O
</s>
<s>
is	O
a	O
free	O
and	O
open-source	B-License
error	B-General_Concept
propagation	I-General_Concept
calculator	O
and	O
library	B-Library
.	O
</s>
<s>
It	O
supports	O
real	O
and	O
complex	O
numbers	O
with	O
uncertainty	O
,	O
arbitrary-precision	B-Algorithm
arithmetic	I-Algorithm
calculations	O
,	O
functional	O
correlation	O
between	O
variables	O
,	O
mathematical	O
and	O
linear	O
algebra	O
operations	O
with	O
matrices	O
and	O
arrays	O
,	O
and	O
numerical	O
integration	O
using	O
Gauss	B-Algorithm
–	I-Algorithm
Kronrod	I-Algorithm
quadrature	I-Algorithm
.	O
</s>
<s>
is	O
a	O
free	O
and	O
open-source	B-License
,	O
nonlinear	O
error	B-General_Concept
propagation	I-General_Concept
calculator	O
and	O
library	B-Library
that	O
supports	O
arbitrary	O
multivariate	O
distributions	O
,	O
differentiation	O
,	O
linear	O
algebra	O
and	O
arbitrary-precision	B-Algorithm
arithmetic	I-Algorithm
.	O
</s>
<s>
is	O
a	O
C#	B-Application
software	B-Library
library	I-Library
and	O
command-line	O
calculator	O
.	O
</s>
<s>
A	O
MATLAB	B-Language
wrapper	O
and	O
a	O
exist	O
.	O
</s>
<s>
metRology	O
is	O
an	O
R	B-Language
package	O
to	O
support	O
metrological	O
applications	O
.	O
</s>
<s>
Evaluation	O
can	O
be	O
applied	O
to	O
R	B-Language
expressions	O
,	O
formulae	O
and	O
functions	O
.	O
</s>
<s>
,	O
Python	B-Language
tools	O
for	O
dealing	O
with	O
physical	O
quantities	O
:	O
uncertainty	B-General_Concept
propagation	I-General_Concept
and	O
unit	O
conversion	O
.	O
</s>
<s>
First	O
order	O
and	O
Monte-Carlo	O
propagation	B-General_Concept
of	I-General_Concept
uncertainty	I-General_Concept
;	O
handles	O
relative	O
,	O
absolute	O
,	O
and	O
expanded	O
uncertainties	O
of	O
quantities	O
with	O
units	O
.	O
</s>
<s>
Interprets	O
an	O
XML	B-Protocol
model	O
description	O
file	O
.	O
</s>
<s>
is	O
an	O
MIT	B-License
developed	O
collection	O
of	O
UQ	O
tools	O
for	O
Markov	O
Chain	O
Monte	O
Carlo	O
sampling	O
,	O
Polynomial	O
Chaos	O
construction	O
,	O
transport	O
maps	O
,	O
and	O
many	O
other	O
operations	O
.	O
</s>
<s>
It	O
has	O
both	O
C++	B-Language
and	O
Python	B-Language
interfaces	O
.	O
</s>
<s>
is	O
a	O
MATLAB	B-Language
toolbox	O
for	O
uncertainty	B-General_Concept
propagation	I-General_Concept
,	O
reliability	O
analysis	O
,	O
model	O
updating	O
,	O
sensitivity	O
and	O
robust	O
design	O
optimization	O
.	O
</s>
<s>
Users	O
access	O
it	O
through	O
a	O
web	O
browser	O
,	O
but	O
it	O
runs	O
in	O
the	O
R	B-Language
programming	I-Language
language	I-Language
on	O
the	O
server	O
.	O
</s>
<s>
is	O
a	O
C++	B-Language
and	O
Python	B-Language
framework	O
for	O
probabilistic	O
modelling	O
and	O
uncertainty	O
management	O
developed	O
by	O
the	O
OpenTURNS	O
consortium	O
(	O
,	O
,	O
,	O
,	O
)	O
.	O
</s>
<s>
It	O
can	O
interact	O
with	O
third-party	O
software	O
through	O
a	O
generic	O
Python	B-Language
interface	O
,	O
which	O
also	O
allows	O
to	O
connect	O
HPC	O
facilities	O
.	O
</s>
<s>
:	O
an	O
R	B-Language
package	O
that	O
conducts	O
error	B-General_Concept
propagation	I-General_Concept
by	O
first	O
-	O
and	O
second-order	O
Taylor	O
approximation	O
(	O
GUM	O
2008	O
)	O
and	O
Monte-Carlo	O
simulation	O
(	O
GUM	O
2008	O
S1	O
)	O
,	O
using	O
full	O
covariance	O
structure	O
.	O
</s>
<s>
is	O
a	O
comprehensive	O
suite	O
of	O
tools	O
for	O
sampling-based	O
UQ	O
(	O
dimension	O
reduction	O
,	O
response	O
surface	O
analysis	O
,	O
uncertainty	B-General_Concept
propagation	I-General_Concept
,	O
sensitivity	O
analysis	O
,	O
numerical	O
optimization	O
,	O
statistical	O
inference	O
,	O
optimization	O
under	O
uncertainty	O
)	O
developed	O
at	O
Lawrence	O
Livermore	O
National	O
Laboratory	O
.	O
</s>
<s>
is	O
a	O
potent	O
commercial	O
tool	O
for	O
measurement	O
uncertainty	O
analysis	O
including	O
Monte	O
Carlo	O
simulation	O
for	O
Windows	B-Application
(	O
free	O
restricted	O
educational	O
version	O
available	O
)	O
.	O
</s>
<s>
Capabilities	O
include	O
DOE	O
generation	O
,	O
emulator	O
construction	O
,	O
uncertainty	B-General_Concept
propagation	I-General_Concept
,	O
sensitivity	O
analysis	O
,	O
statistical	O
calibration	O
,	O
and	O
inverse	O
analysis	O
.	O
</s>
<s>
implements	O
second-order	O
error	B-General_Concept
propagation	I-General_Concept
as	O
a	O
free	O
Python	B-Language
library	B-Library
.	O
</s>
<s>
Automatically	O
calculates	O
all	O
the	O
first	O
and	O
second	O
derivatives	O
of	O
an	O
expression	O
using	O
the	O
free	O
Python	B-Language
package	O
.	O
</s>
<s>
SCaViS	O
is	O
a	O
free	O
data-analysis	O
program	O
written	O
in	O
Java	B-Language
and	O
supports	O
Python	B-Language
and	O
Groovy	O
.	O
</s>
<s>
Conducts	O
error	B-General_Concept
propagation	I-General_Concept
by	O
first	O
-	O
and	O
second-order	O
Taylor	O
approximation	O
and	O
using	O
a	O
Monte	O
Carlo	O
approach	O
for	O
complex	O
functions	O
.	O
</s>
<s>
The	O
is	O
a	O
JavaScript	B-Language
browser-based	O
calculator	O
that	O
performs	O
error	B-General_Concept
propagation	I-General_Concept
calculations	O
.	O
</s>
<s>
runs	O
JavaScript	B-Language
in	O
the	O
browser	O
.	O
</s>
<s>
is	O
a	O
potent	O
free	O
calculator	O
and	O
Python	B-Language
software	B-Library
library	I-Library
for	O
transparently	O
performing	O
calculations	O
with	O
uncertainties	O
and	O
correlations	O
.	O
</s>
<s>
UncertRadio	O
evaluations	O
can	O
be	O
processed	O
from	O
within	O
an	O
Excel	B-Application
application	O
.	O
</s>
<s>
It	O
is	O
a	O
general-purpose	O
software	O
running	O
in	O
MATLAB	B-Language
which	O
contains	O
state-of-the-art	O
methods	O
for	O
Monte	O
Carlo	O
simulation	O
,	O
dependence	O
modelling	O
(	O
copula	O
theory	O
)	O
,	O
surrogate	O
modelling	O
(	O
polynomial	O
chaos	O
expansions	O
,	O
Kriging	O
(	O
a.k.a.	O
</s>
<s>
is	O
an	O
open-source	B-License
Python	B-Language
toolbox	O
and	O
development	O
environment	O
for	O
uncertainty	O
quantification	O
developed	O
by	O
the	O
at	O
Johns	O
Hopkins	O
University	O
.	O
</s>
<s>
It	O
consists	O
of	O
a	O
set	O
of	O
modules	O
for	O
various	O
capabilities	O
in	O
forward	O
and	O
inverse	O
UQ	O
ranging	O
from	O
sampling	O
methods	O
for	O
uncertainty	B-General_Concept
propagation	I-General_Concept
to	O
reliability	O
analysis	O
,	O
surrogate	O
model	O
construction	O
,	O
and	O
Bayesian	O
inference	O
.	O
</s>
<s>
Of	O
particular	O
note	O
is	O
that	O
it	O
is	O
designed	O
to	O
interface	O
with	O
any	O
Python	B-Language
model	O
or	O
third-party	O
software	O
model	O
through	O
the	O
RunModel	O
module	O
.	O
</s>
<s>
Packages	O
can	O
be	O
downloaded	O
from	O
the	O
Python	B-Language
Package	O
Index	O
(	O
via	O
pip	O
)	O
or	O
through	O
Conda	O
.	O
</s>
<s>
is	O
a	O
free	O
and	O
open	B-License
source	I-License
software	O
Python	B-Language
package	O
that	O
propagates	O
uncertainty	O
using	O
1st	O
order	O
linear	O
combinations	O
.	O
</s>
<s>
UncertaintyWrapper	O
wraps	O
any	O
Python	B-Language
code	I-Language
even	O
C	B-Language
extensions	O
.	O
</s>
<s>
The	O
functionality	O
can	O
be	O
accessed	O
through	O
C++	B-Language
,	O
command	O
line	O
apps	O
,	O
or	O
Python	B-Language
.	O
</s>
<s>
Name	O
License	B-License
Programming	O
language	O
Handles	O
correlations	O
?	O
</s>
<s>
Cross-platform	B-Operating_System
?	O
</s>
<s>
Library	B-Library
?	O
</s>
<s>
Abacus	O
C	B-Language
,	O
Win32	B-Library
ASUE	O
Mathematica	B-Application
App::ErrorCalculator	O
Perl	B-Language
Chaospy	O
Python	B-Language
Colby	O
College	O
Uncertainty	O
Calculator	O
JavaScript	B-Language
Dempster	O
Shafer	O
with	O
Intervals	O
(	O
DSI	O
)	O
Toolbox	O
MATLAB	B-Language
EasyVVUQ	O
Python	B-Language
Experimental	O
Data	O
Analyst	O
(	O
EDA	O
)	O
Mathematica	B-Application
EPC	O
:	O
error-propagating	O
calculator	O
Perl	B-Language
ErrorCalc	O
iPhone/iPad	O
calculator	O
app	O
Error	B-General_Concept
Propagation	I-General_Concept
Calculator	O
Python	B-Language
FuncDesigner	O
Python	B-Language
fussy	O
C	B-Language
GUM_MC	O
Lazarus	B-Language
GUMsim	O
Object	B-Language
Pascal	I-Language
(	O
Delphi	B-Language
)	O
GUM	O
Tree	O
Calculator	O
(	O
GTC	O
)	O
,	O
freeware	B-License
single-user	O
,	O
nontransferable	O
Python	B-Language
GUM	O
Workbench	O
Object	B-Language
Pascal	I-Language
(	O
Delphi	B-Language
)	O
Gustavus	O
Adolphus	O
error	B-General_Concept
propagation	I-General_Concept
calculator	O
gvar	O
Python	B-Language
laffers.net	O
error	B-General_Concept
propagation	I-General_Concept
calculator	O
JavaScript	B-Language
LNE-MCM	O
MATLAB	B-Language
MCM	O
Alchimia	O
Object	B-Language
Pascal	I-Language
(	O
Delphi	B-Language
)	O
Measurement	O
Software	O
Toolkit	O
,	O
freeware	B-License
noncommercial	O
use	O
R	B-Language
,	O
Excel	B-Application
plug-in	O
Measurements.jl	O
Julia	B-Application
MonteCarloMeasurements.jl	O
Julia	B-Application
metRology	O
package	O
for	O
R	B-Language
,	O
GPL	B-License
R	B-Language
MetroloPy	O
Python	B-Language
MUSE	O
,	O
freeware	B-License
noncommercial	O
use	O
C++	B-Language
METAS	O
UncLib	O
freeware	B-License
,	O
no	O
redistribution	O
C#	B-Application
,	O
MATLAB	B-Language
wrapper	O
and	O
Python	B-Language
wrapper	O
but	O
you	O
can	O
use	O
NI	O
VISA	O
for	O
example	O
.	O
</s>
