A numerical study of some radial basis function based solution methods for elliptic PDEs

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations

E.J. Kansa · Computers & Mathematics with Applications · 1990 · 2K citations

Natural Sciences, Computational Engineering, Mathematics +16

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

E.J. Kansa · Computers & Mathematics with Applications · 1990 · 1.9K citations

Natural Sciences, Computational Engineering, Physics +12

Interpolation of scattered data: Distance matrices and conditionally positive definite functions

Charles A. Micchelli · Constructive Approximation · 1986 · 1.2K citations

Computing, Computer Science, Computational Geometry +10

Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations

E.J. Kansa, Y.C. Hon · Computers & Mathematics with Applications · 2000 · 448 citations

Natural Sciences, Mathematics, Differential Equations +8

Stable computation of multiquadric interpolants for all values of the shape parameter

Bengt Fornberg, Grady B. Wright · Computers & Mathematics with Applications · 2004 · 391 citations

Architecture, Computational Engineering, Mathematics +14