A correction calculation method for a satellite based positioning system with a network of receiving units as reference stations comprises a partitioning of the network into groups of reference stations, calculation of group-specific correction factors, amalgamation of the group-specific correction factors and subsequently, derivation of network-specific correction parameters. Single dots, as well as two or three-dimensional groupings may be created. The error checking module is configured to error-check sectors using an error detecting code in the sectors. When executed by the at least one processor, the thermodynamic system solver computes a pressure at each of the nodes and flows between the nodes based at least in part on the sensitivities, wherein a result based on the pressures and flows is determined. The initial processor is the source processor in the first axis, and the target processor is the destination processor in the last axis.