Re: Method Option
- To: mathgroup at smc.vnet.net
- Subject: [mg90906] Re: Method Option
- From: mark mcclure <mcmcclur at unca.edu>
- Date: Tue, 29 Jul 2008 01:38:11 -0400 (EDT)
- References: <g6h5dc$h0u$1@smc.vnet.net>
On Jul 27, 2:42 am, Peter Breitfeld <ph... at t-online.de> wrote:
> A lot of build-in functions in Mathematica have the option Method. Usually
> this is mentioned in the "More Information" section of the reference page.
> Most of the time there is the statement Method->Automatic.
> Take for example ContourPlot:
> "Method Automatic the method to use for refining contours"
> OK, but what other methods do I have then?
Even though Method -> Automatic appears in the list
generated by Options[ContourPlot], the option appears
to be ignored. Otherwise,
ContourPlot[x^2 + y^2, {x, -2, 2}, {y, -2, 2},
Method -> Bogus]
would generate error messages. Actually, this is a
good technique find possible options. Here's an
example with NIntegrate:
-----------------------------
Mathematica 6.0 for Mac OS X x86 (32-bit)
Copyright 1988-2008 Wolfram Research, Inc.
In[1]:= NIntegrate[x^2, {x,-2,2}, Method -> Bogus]
NIntegrate::bdmtd:
The Method option should be one of Automatic,
CartesianRule, ClenshawCurtisRule,
GaussBerntsenEspelidRule, GaussKronrodRule,
LobattoKronrodRule, LobattoPeanoRule, MultiPanelRule,
NewtonCotesRule, TrapezoidalRule, AdaptiveMonteCarlo,
AdaptiveQuasiMonteCarlo, DoubleExponential,
DuffyCoordinates, ExtrapolatingOscillatory, MonteCarlo,
QuasiMonteCarlo, Trapezoidal, EvenOddSubdivision,
SymbolicPiecewiseSubdivision, OscillatorySelection,
UnitCubeRescaling, or a user-implemented integration
strategy or rule.
NIntegrate::nsr:
Bogus is not a valid specification of an integration
strategy or rule.
2
Out[1]= NIntegrate[x , {x, -2, 2}, Method -> Bogus]
-------------------------------
You can find information on the method types by searching
the documentation. I don't believe there is standard way
to do this, though. I'd like to know a general technique
to detect which method is selected when Method is set to
Automatic.
Mark McClure
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