Math.Nonlinear.quadratureNewtonCotes - #4800
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I managed to implement the first 4 closed Newton-Cotes formulas in 1 function, just distinguished by 1 parameter. |
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When investigating the relation between spatial flux density distribution of a rotating rotor (with permanent magnets) and the flux linkage of a coil in the stator core (to calculate the induce voltage), I have to calculate an integral over the angle spanned by the coil. Since quadratureLobatto has some problems with a moving integration interval, I implemented two less sophisticated quadrature functions: quadratureTrapezoidal (based on the trapezoidal rule) and quadratureSimpson (based on Simpson's rule).
Both are tested in the example MovingIntegral (using the utility function funB). That's also a nice example for the usage of quadrature functions. Defined comparison signals, no backwards compatibility issues.