Abstract:
Numerical methods are given for calculating the double integral ... for the three cases: (i) F(x) is given numerically, (ii) F(x) is the first derivative of a numerically given function, (iii) F(x) is the second derivative S'(x) of a numerically given function S(x). For the third case the method of Eminton is extended to functions S(x) for which the first derivative at x = b is not zero. For the other cases the functions are approximated by finite Fourier series which have given values at certain fixed points.
