Mathematische Geodäsie/Mathematical Geodesy: Handbuch der Geodäsie, herausgegeben von Willi Freeden und Reiner Rummel

Front Matter ....Pages I-XV
Front Matter ....Pages 1-1
 Mathematical Geodesy  (Willi Freeden, Michael Schreiner)....Pages 3-63
 Inverse Probleme der Geodäsie  (Willi Freeden, Helga Nutz)....Pages 65-90
 Up and Down Through the Gravity Field  (F. Sansó, M. Capponi, D. Sampietro)....Pages 91-144
Front Matter ....Pages 145-145
 Spherical Harmonics, Splines, and Wavelets  (Willi Freeden, Michael Schreiner)....Pages 147-193
 A Mathematical View on Spin-Weighted Spherical Harmonics and Their Applications in Geodesy  (Volker Michel, Katrin Seibert)....Pages 195-307
 Reconstruction and Decomposition of Scalar and Vectorial Potential Fields on the Sphere  (Christian Gerhards, Roger Telschow)....Pages 309-349
 Ellipsoidal-Spheroidal Representation of the Gravity Field  (Erik. W. Grafarend)....Pages 351-442
Front Matter ....Pages 443-443
 Monte Carlo Methods  (Karl-Rudolf Koch)....Pages 445-475
 Parameter Estimation, Variance Components and Statistical Analysis in Errors-in-Variables Models  (Peiliang Xu)....Pages 477-533
Front Matter ....Pages 535-535
 Fast Harmonic/Spherical Splines and Parameter Choice Methods  (Martin Gutting)....Pages 537-574
 Numerical Methods for Solving the Oblique Derivative Boundary Value Problems in Geodesy  (Róbert Čunderlík, Marek Macák, Matej Medl’a, Karol Mikula, Zuzana Minarechová)....Pages 575-622
Front Matter ....Pages 623-623
 Geodetic Methods for Monitoring Crustal Motion and Deformation  (Athanasios Dermanis)....Pages 625-695
 Theory and Realization of Reference Systems  (Athanasios Dermanis)....Pages 697-823
Front Matter ....Pages 825-825
 From Gaussian Least Squares Approximation to Today’s Operator-Theoretic Regularization of Ill-Posed Problems  (Willi Freeden, Bertold Witte)....Pages 827-929
 The Numerical Treatment of Covariance Stationary Processes in Least Squares Collocation  (Wolf-Dieter Schuh, Jan Martin Brockmann)....Pages 931-966
Front Matter ....Pages 967-967
 Inverse Gravimetry: Density Signatures from Gravitational Potential Data  (Willi Freeden, M. Zuhair Nashed)....Pages 969-1052
 From Newton’s Law of Gravitation to Multiscale Geoidal Determination and Ocean Circulation Modeling  (Willi Freeden, Helga Nutz)....Pages 1053-1116
 Gravimetric Measurements, Gravity Anomalies, Geoid, Quasigeoid: Theoretical Background and Multiscale Modeling  (Gerhard Berg, Christian Blick, Matthias Cieslack, Willi Freeden, Zita Hauler, Helga Nutz)....Pages 1117-1181
Front Matter ....Pages 1183-1183
 Satellite Gravitational Gradiometry: Methodological Foundation and Geomathematical Advances  (Willi Freeden, Helga Nutz, Reiner Rummel, Michael Schreiner)....Pages 1185-1255
 Very Long Baseline Interferometry  (Axel Nothnagel)....Pages 1257-1314
 Elementary Mathematical Models for GNSS Positioning  (Bernhard Hofmann-Wellenhof)....Pages 1315-1448
Back Matter ....Pages 1449-1463