Spline methods in geodetic approximation problems

DOI10.1002/mma.1670040124zbMath0489.65019OpenAlexW2032234351MaRDI QIDQ3951456

Willi Freeden

Publication date: 1982

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670040124

zbMATH Keywords

reproducing kernel Hilbert spacespline methodsearth's surfacesmoothing problemsearth's gravity field

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Spline approximation (41A15) Geodesy, mapping problems (86A30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (4)

Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ Interpolation by multidimensional periodic splines ⋮ Geodetic Observables and Their Mathematical Treatment in Multiscale Framework ⋮ Parameter Choices for Fast Harmonic Spline Approximation

Cites Work

• On integral formulas of the (unit) sphere and their application to numerical computation of integrals
• Zwei Klassen vollständiger Funktionensysteme zur Behandlung der Randwertaufgaben der Schwingungsgleichung ΔU + k2U = 0
• On spherical spline interpolation and approximation
• Best Approximate Integration Formulas; Best Approximation Formulas
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