In this Smath document, we just have Legendre [63,64]. More may be found from
higher scientific organisation, but Smath will not take more than 15 decimals.
Hermite chaînette may have structural properties [not my cup of tea].
It was designed as an interpolant for some unspecified applications.
The point is about comparing the Smath 5346 numerical integrator vs Romberg.
In the past, I have explored that , comparing functions that have an integral.

Smath integrator ranged from 4 decimals to 15.
Romberg integrator ranged from 12 decimals to 15
Enough to close arguing that the Smath integrator is obsolete for advanced
projects [Engineering/Sientific]. All done for you designers to implement.

Jean



Integrate Quadratures Legendre.sm (99 KiB) downloaded 54 time(s).