Talk:Numerical Analysis/Differentiation/Examples

Latest comment: 11 years ago by Nm160111 in topic Mostly Generalized Method

Two Variables

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By Taylor's theorem for real functions of two variables,

 

So

  Nm160111 (talk) 02:29, 26 November 2012 (UTC)Reply

Mostly Generalized Method

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Too complex for examples, but saves work when making them.

By Taylor's theorem,

 

So

 

Which we can rearrange as

 

Given this, we now attempt to choose coefficients   and   such that

 

This can be done by solving the following system of   equations in   unknowns:

 

 

 

 

 

By setting all   to be constant, the system of equations may be made linear. Nm160111 (talk) 02:29, 26 November 2012 (UTC)Reply

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