A contribution of the multiquadric method: Interpolation of potential inside the Earth

DOI10.1016/0898-1221(92)90173-FzbMath0817.65149MaRDI QIDQ1207561

Rolland L. Hardy

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

interpolationintegral equationEarthpotential functionNewtonian attractionmultiquadric methoddistance singularities

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Potentials, prospecting (86A20)

Related Items (5)

Special issue: Radial basis functions and partial differential equations ⋮ Radial basis function interpolation in the quantum trajectory method: optimization of the multi-quadric shape parameter. ⋮ Hardy's multiquadric-biharmonic method for gravity field predictions ⋮ Hardy's multiquadric-biharmonic method for gravity field predictions. II ⋮ Approximating potential integrals by cardinal basis interpolants on multivariate scattered data

Cites Work

• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Scattered Data Interpolation: Tests of Some Method
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