Spherical radial basis functions are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy. The approximate solutions are found by the Galerkin and collocation methods. A salient feature of the paper is a unified theory for error analysis of both approximation methods.

We get a uniqueness theorem for a Robin type boundary value problem for the Laplace equation arising in Physical Geodesy in the context of the gravimetric determination of the geoid. The boundary is an oblate ellipsoid of revolution and we have uniqueness of solutions provided that its eccentricity is (approximately) less than 0.526428.

1. Classification of models 2. Criteria for choosing models 3. Non-tidal loading effects 4. New models 5. Possible additions to the Conventions 6. Technique-dependent effects 7. Terminology concerning reference systems 8. Practical application to the rewriting of some parts of Conventions (2003) 9. Electronic diffusion of the Conventions 10. Links with other fields of geodesy 11. Next registere...

1 Faculty of Advanced Technology, University of Glamorgan, Pontypridd, Wales, CF37 1DL, UK {cmgold,mdakowic}@glam.ac.uk 2 Department of Geodesy and Geomatics Engineering, University of New Brunswick, P.O. Box 4400, Fredericton, New Brunswick, Canada E3B 5A3 [email protected] 3 Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800 Kgs. Ly...

1 Hvar Observatory, Faculty of Geodesy, University of Zagreb, Kačićeva 26, HR-10000 Zagreb, Croatia 2 Kiepenheuer-Institut für Sonnenphysik, Schöneckstr. 6, D-79104 Freiburg, Germany 3 Geophysical Institute, Faculty of Science, University of Zagreb, Horvatovac bb, HR-10000 Zagreb, Croatia 4 Easy Toolkit, Inc., Houston, Texas, USA 5 Observatoire Royal de Belgique, Ave. Circulaire 3, B-1180 Bruxe...

The Doctorate of Geomatics and Infrastructures continues the tradition of the previous Doctorate in Geodesy and Geomatics, dating back to the first cycle of doctorates in Italy of the years 1983-86. Thus, according to the vision of the Doctorate School of Politecnico di Milano, we are working now within an interdisciplinary environment. The original field of geomatics, which in any way was alre...

Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, th...

Applications for the Roer Valley Graben and coal mine induced displacements in the southern Netherlands Improving radar interferometry for monitoring fault-related surface deformation. Applications for the Roer Valley Graben and coal mine induced displacements in the southern Netherlands Miguel Caro Cuenca Publications on Geodesy 81