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Method

Method
is an option for various algorithm-intensive functions that specifies what internal methods they should use.
  • Typical settings include:
Automaticpick the method automatically
"name"use the method with the specified name
{"name",opt1->val1,...}use the specified method with particular options
{"name1",Method->{"name2",...}}use a method and a submethod
{opt1->val1,opt2->val2,...}give options for methods
  • With the default setting Method->Automatic, Mathematica will automatically try to pick the best method for a particular computation.
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:
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Solve a differential equation using an explicit Runge-Kutta method:
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Plot the solution and its derivative:
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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:
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