Abstract
Since the 70’s, collocation in reproducing kernel Hilbert spaces has been advocated by many authors: Tscherning and Rapp(1974), Sünkel(1986). The only disadvantage of this method is that the number of equations which have to be solved equals the number of observations. Hence, for large data sets the computational power even of large computers is frequently exceeded.
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References
Sünkel H. (ed.), Mathematical and Numerical Techniques in Physical Geodesy, Lecture Notes in Earth Sciences, Vol. 7., Springer-Verlag, New york 1986
Tscherning C. C., Rapp R. H., Closed Covariance Expressions for Gravity Anomalies, Geoid Undulations and Deflections of the Vertical Implied by Anomaly Degree Variance Models, OSU-Rep. No. 208, Columbus Ohio, 1974
Walter G. G., Wavelets and other orthogonal systems with applications. CRC Press, Boca Raton Ann Arbor London Tokyo, 1994
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Keller, W. (1998). Geoid Computation by Collocation in Scaling Spaces. In: Forsberg, R., Feissel, M., Dietrich, R. (eds) Geodesy on the Move. International Association of Geodesy Symposia, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72245-5_24
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DOI: https://doi.org/10.1007/978-3-642-72245-5_24
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