IV Hotine-Marussi Symposium on Mathematical Geodesy

ISBN-13: 9783540415824 / Angielski / Twarda / 2001 / 183 str.

B. Benciolini; Battista Benciolini; B. Bancioloini

Opis

Based on the IV Hotine-Marussi Symposium held in Trento, this volume covers three important topics: boundary value problems, satellite geodesy and stochastic methods in geodesy. It presents the state-of-the-art of the main topics in the theoretical and methodological aspects of geodesy.

Spis treści

Report on the Symposium.- The Molodensky Scalar Boundary Value Problem in Spherical Coordinates: a New Result (abstract only).- The Slepian Problem on the Sphere (abstract only).- White Noise Stochastic BVP’s and Cimmino’s Theory.- Simulation of the Goce Gravity Field Mission.- Quality Improvement of Global Gravity Field Models by Combining Satellite Gradiometry and Airborne Gravimetry.- On the Determination of Geopotential Differences from Satellite-to-Satellite Tracking.- On the Topographic Effects of Helmert’s Method of Condensation.- Distance Measurement with Electromagnetic Wave Dispersion.- A Global Topographic-Isostatic Model Based on a Loading Theory.- Stochastic Modelling of Non-stationary Smooth Phenomena.- Deformation Detection According to a Bayesian Approach.- Block Elimination and Weight Matrices (abstract only).- Construction of An-isotropic Covariance-Functions Using Sums of Riesz-Representers (abstract only).- New Covariance Models for Local Applications of Collocation.- Approximation of Harmonic Covariance Functions on the Sphere by non Harmonic Locally Supported Ones (abstract only).- Integration of a Priori Gravity Field Models in Boundary Element Formulations to Geodetic Boundary Value Problems.- On the Solution of the Inverse Stokes Problem Including Ellipsoidal Effects (abstract only).- The Spheroidal Stokes Boundary Value Problem (extended abstract).- The Hotine Rectified Skew Orthomorphic Projection (Oblique Mercator Projection) Revisited (abstract only).- A Solution of the Korn-Lichtenstein Equations of Conformai Mapping which Directly Generates Ellipsoidal Gauß-Krüger Conformai Coordinates or the Transverse Mercator Projection (abstract only).- An Iterative Solution of the Scalar Free Boundary Value Problem and the Choice of the Reference Surface (abstract only).- On the Use of Galerkin’s Method in the Solution of the Geodetic Boundary Value Problem (abstract only).- Numerical Aspects of Altimetry-Gravimetry Problems.- Fast Numerical Solution of the Vector Molodensky Problem.- Softly Unbiased Prediction Part 2: The Random Effects Model.- Fractale, Brownian Motion, Wiener Process, Krige Variogram, Kolmogorov Structure Function: Geodetic Examples (abstract only).- The General Linear Model—a Solution by Means of the Condition Adjustment.- Iteration Procedure for Evaluating High Degree Potential Coefficients from Gravity Data.- On the Adjustment of Combined GPS/Levelling/Geoid Networks (abstract only).- Alternative Formulas for Terrain Reduction and Comparison with Existing Formulas.- Error Detection in GPS Observations by Means of Multi-Process Models.- A Concept for Satellite Orbit Sensitivity Analysis (abstract only).- Index of Authors.- List of Participants.