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Legacy Documentation
Mathematica 8
(2010)
This is documentation for Mathematica 8, which was
based on an earlier version of Wolfram Language.
View current documentation (Version 14.3)
Mathematica
>
Core Language
>
Tuning & Debugging
>
Method
>
BUILT-IN MATHEMATICA SYMBOL
PerformanceGoal
EvaluationMonitor
StepMonitor
SystemOptions
See Also »
|
Data Parallelism
Graphics Options & Styling
Numerical Evaluation & Precision
Summary of New Features in 7.0
Tuning & Debugging
More About »
Method
Method
is an option for various algorithm-intensive functions that specifies what internal methods they should use.
Typical settings include:
Automatic
pick the method automatically
"
name
"
use the method with the specified name
{"
name
",
opt
1
->
val
1
,
...
}
use the specified method with particular options
{"
name
1
",Method->{"
name
2
",
...
}}
use a method and a submethod
{
opt
1
->
val
1
,
opt
2
->
val
2
,
...
}
give options for methods
With the default setting
Method
->
Automatic
,
Mathematica
will automatically try to pick the best method for a particular computation.
(2)
Find a nonlinear fit for exponential decay using a quasi-Newton method:
Solve a differential equation using an explicit Runge-Kutta method:
Plot the solution and its derivative:
Find a nonlinear fit for exponential decay using a quasi-Newton method:
Out[3]=
Solve a differential equation using an explicit Runge-Kutta method:
Out[1]=
Plot the solution and its derivative:
Out[2]=
(4)
Find a root in two dimensions using Newton's method with a trust-region step control:
This takes fewer evaluations than the default step control for this problem:
Number of steps and evaluations for an ODE using Runge-Kutta methods of various order:
Use of event location method using a backward differentiation formula base method:
Plot the solution up to the event :
Use of event locator with a deeply nested
Method
option:
PerformanceGoal
bullet
EvaluationMonitor
bullet
StepMonitor
bullet
SystemOptions
Data Parallelism
Graphics Options & Styling
Numerical Evaluation & Precision
Summary of New Features in 7.0
Tuning & Debugging
New in 4 | Last modified in 6
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