The reference figure of the rotating Earth in geometry and gravity space and an attempt to generalize the celebrated Runge-Walsh approximation theorem for irregular surfaces

DOI10.1007/s13137-014-0068-yzbMath1326.86006OpenAlexW2035562348MaRDI QIDQ2517213

Erik W. Grafarend

Publication date: 17 August 2015

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-014-0068-y

zbMATH Keywords

Somigliana-Pizzetti gravity fieldequilibrium figuresanholonomityRunge-Walsh approximation theoremsingular points in the Earth gravity fieldsingular points in the Earth topographytransformation of differential manifolds

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Surfaces in Euclidean and related spaces (53A05) Geodesy, mapping problems (86A30) Geometries with differentiable structure (51H25) Boundary value problems for first-order elliptic systems (35J56)

Related Items (2)

On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts ⋮ About the Importance of the Runge–Walsh Concept for Gravitational Field Determination

Cites Work

• Multiscale potential theory. With applications to geoscience
• Runge-Walsh-wavelet approximation for the Helmholtz equation
• The reformation of geodesy
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