A numerical study of some radial basis function based solution methods for elliptic PDEs
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[1] A. U.S.,et al. Stable Computation of Multiquadric Interpolants for All Values of the Shape Parameter , 2003 .
[2] B. Fornberg,et al. Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions , 2003 .
[3] T. Driscoll,et al. Observations on the behavior of radial basis function approximations near boundaries , 2002 .
[4] E. Kansa,et al. Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary , 2002 .
[5] T. Driscoll,et al. Interpolation in the limit of increasingly flat radial basis functions , 2002 .
[6] Robert Schaback,et al. On unsymmetric collocation by radial basis functions , 2001, Appl. Math. Comput..
[7] Nam Mai-Duy,et al. Numerical solution of differential equations using multiquadric radial basis function networks , 2001, Neural Networks.
[8] Richard K. Beatson,et al. Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods , 2000, SIAM J. Sci. Comput..
[9] E. Kansa,et al. Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations , 2000 .
[10] L. Trefethen. Spectral Methods in MATLAB , 2000 .
[11] Kwok Fai Cheung,et al. Multiquadric Solution for Shallow Water Equations , 1999 .
[12] Benny Y. C. Hon,et al. An efficient numerical scheme for Burgers' equation , 1998, Appl. Math. Comput..
[13] M. Golberg,et al. Discrete projection methods for integral equations , 1996 .
[14] Nira Dyn,et al. Spectral convergence of multiquadric interpolation , 1993, Proceedings of the Edinburgh Mathematical Society.
[15] W. Madych,et al. Bounds on multivariate polynomials and exponential error estimates for multiquadratic interpolation , 1992 .
[16] 吴宗敏. HERMITE—BIRKHOFF INTERPOLATION OF SCATTERED DATA BY RADIAL BASIS FUNCTIONS , 1992 .
[17] E. Kansa. MULTIQUADRICS--A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS-- II SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS , 1990 .
[18] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[19] C. Micchelli. Interpolation of scattered data: Distance matrices and conditionally positive definite functions , 1986 .