Knowledge Bank

The report deals with various theoretical and numerical aspects of the interplay between least-squares collocation and classical integral formulas. It is proved that geodetic integral formulas may be considered as limiting cases of collocation for homogeneous and regularly and densely distributed data. Collocation methods can he employed for adjusting continuous data and combining them with other measurements, before using them with integral formulas. With respect to numerical computation, integral formulas and collocation techniques mutually complement each other, so that in many practical cases a judicious combination of the two procedures may be practically most convenient.