The possibility integration in Python without an equation, just an array-like file

[duncan smith]

On 16/05/14 16:01, Johannes Schneider wrote:
> If you do not have a closed form for T(E) you cannot calculate the exact
> value of I(V).
>
> Anyway. Assuming T is integrable you can approximate I(V).
>
> 1. Way to do:
> interpolate T(E) by a polynomial P and integrate P. For this you need
> the equation (coefficients and exponents) of P. Integrating is easy
> after that.
>
> 2. other way:
> Use Stair-functions: you can approximate the Value of IV() by the sum
> over T(E_i) * (E_{i+1} - E_i) s.t. E_0 = E_F-\frac{eV}{2} and E_n =
> E_F+\frac{eV}{2}.
>

snip]

Or piecewise polynomials (splines).

Duncan