The large and rich quantity of data now becoming available through the Southern California Integrated GPS Network (SCIGN) makes possible a wide variety of research involving analysis and modeling. The Hector Mine earthquake (M=7.1) is the outstanding geophysical event so far registered by this network in its mature form, with 34 stations registering permanent deformation at the 95% confidence level. Inversion of this data for fault slip parameters was possible immediately after the event, and resulted in a pure GPS solution for the fault location, slip, and orientation, which have held up well under subsequent scrutiny. A new high-precision re-analysis of the SCIGN data has provided data sets for 71 stations with over one year's high-quality data. This data set has been subjected to principal components analysis, resulting in some marginal improvements in understanding at this preliminary stage. Finite element analysis in two and three dimensions is another important technique for explaining such network data, for example in comparing different hypothetical faulting structures and rheologies in the Los Angeles Basin. Automatic mesh generation based on geophysical fault and layering description is an important technology under development to assist the geophysical modeler.