This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# 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",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, 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:
 Out[3]=

Solve a differential equation using an explicit Runge-Kutta method:
 Out[1]=
Plot the solution and its derivative:
 Out[2]=
 Scope   (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: