Abstract
Most boundary value problems of the geopotential field have integral and series solutions in terms of Green’s convolution kernels. These solutions are advantageously evaluated using fast spherical harmonic transforms for regular arrays of simulated or observed data. However, the computational complexity and numerical conditioning of spherical harmonic transforms for relatively dense data are quite challenging and recent algorithmic developments warrant further investigations for geodetic and geophysical applications.
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Blais, J.A.R., Provins, D.A., Tan, C.J.K. (2001). Optimization of Computations in Spherical Geopotential Field Applications. In: Sideris, M.G. (eds) Gravity, Geoid and Geodynamics 2000. International Association of Geodesy Symposia, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04827-6_9
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DOI: https://doi.org/10.1007/978-3-662-04827-6_9
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