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The equations in this category are used to estimate the derivative of functions. These routines are quite often used in finance to estimate sensitivities like delta,gamma,theta, and the estimation of boundary conditions.
Numerical Differentiation


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First derivative: 2 point rules »

Approximation formula for the first derivative. These equations are known as the forward and backward Eurler rules.  full text »  

First derivative: 3 point rules »

Approximation formula for the first derivative. These 3 point equations have second order accuracy.  full text »  

First derivative: 3 point rules, asymmetrical »

Asymmetrical approximation formula for the first derivative. These 3 point equations have second order accuracy.  full text »  

First derivative: 4 point rules »

Approximation formula for the first derivative. These 4 point equations have third order accuracy.  full text »  

First derivative: 5 point rules »

Approximation formula for the first derivative. These 5 point equations have fourth order accuracy.  full text »  

Second derivative: 3 point rule »

Approximation of the second derivative using the 3 point rule.  full text »  

Second derivative: 4 point rules »

Approximation of the second derivative using the 4 point rule.  full text »  

Second derivative: 5 point rules »

Approximation of the second derivative using the 5 point rule.  full text »