Reproducing-kernel-based splines for the regularization of the inverse ellipsoidal gravimetric problem
DOI10.1080/00036811.2011.590479zbMath1252.86004OpenAlexW2010075129MaRDI QIDQ4650239
Publication date: 27 November 2012
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2011.590479
Inverse problems in geophysics (86A22) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spline approximation (41A15) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Inverse problems for integral equations (45Q05)
Cites Work
- Unnamed Item
- Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas
- Spline multiresolution and numerical results for joint gravitation and normal-mode inversion with an outlook on sparse regularisation
- On mathematical aspects of a combined inversion of gravity and normal mode variations by a spline method
- World Geodetic Datum 2000
- Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives
- A new version of the Strang--Fix conditions
- Numerical problems in the computation of ellipsoidal harmonics
- Somigliana-Pizzetti gravity: the international gravity formula accurate to the sub-nanoGal level.
- Tomography: Problems and Multiscale Solutions
- Harmonic spline–wavelets on the 3–dimensional ball and their application to the reconstruction of the Earth's density distribution from gravitational data at arbitrarily shaped satellite orbits
- A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods
- Elliptic Partial Differential Equations of Second Order
- Splines on the three-dimensional ball and their application to seismic body wave tomography
This page was built for publication: Reproducing-kernel-based splines for the regularization of the inverse ellipsoidal gravimetric problem
