A spline interpolation method for solving boundary value problems of potential theory from discretely given data

DOI10.1002/num.1690030408zbMath0659.65111OpenAlexW4244965901MaRDI QIDQ5903811

Willi Freeden

Publication date: 1987

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690030408

zbMATH Keywords

numerical examplesspherical harmonicsreproducing kernelLaplace's equationharmonic splinesexterior Robin problemspline interpolation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (10)

Unnamed Item ⋮ Locally supported kernels for spherical spline interpolation ⋮ On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts ⋮ Basic aspects of geopotential field approximation from satellite-to-satellite tracking data ⋮ Inverse gravimetry: background material and multiscale mollifier approaches ⋮ Fast multipole accelerated solution of the oblique derivative boundary value problem ⋮ Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present ⋮ About the Importance of the Runge–Walsh Concept for Gravitational Field Determination ⋮ Parameter Choices for Fast Harmonic Spline Approximation ⋮ Runge-Walsh-wavelet approximation for the Helmholtz equation

Uses Software

• LINPACK

Cites Work

• Spherical harmonics
• Unnamed Item
• Unnamed Item

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