Ultra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic

DOI10.1007/s00190-007-0172-yzbMath1163.86302OpenAlexW2109108162MaRDI QIDQ925859

Kurt Seitz, Roland Klees, Tobias Wittwer, Bernhard Heck

Publication date: 26 May 2008

Published in: Journal of Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00190-007-0172-y

zbMATH Keywords

numerical stabilityspherical harmonic analysisextended-range arithmeticspherical harmonic synthesis

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to geophysics (86-04)

Related Items (1)

The integral formulas of the associated Legendre functions

Uses Software

• Algorithm 524
• Algorithm 567

Cites Work

• Algorithm 567
• Combined spherical harmonic and wavelet expansion -- a future concept in earth's gravitational determination
• Associated Legendre functions on the cut
• Computing Fourier transforms and convolutions on the 2-sphere
• A unified approach the the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions
• On the computation and approximation of ultra-high-degree spherical harmonic series
• Extended-Range Arithmetic and Normalized Legendre Polynomials
• Unnamed Item
• Unnamed Item

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