On convergent numerical algorithms for unsymmetric collocation
暂无分享,去创建一个
[1] Leevan Ling,et al. A least-squares preconditioner for radial basis functions collocation methods , 2005, Adv. Comput. Math..
[2] R. Schaback. Recovery of functions from weak data using unsymmetric meshless kernel-based methods , 2008 .
[3] 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 .
[4] Ilse C. F. Ipsen,et al. The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution , 1998, SIAM J. Sci. Comput..
[5] W. R. Madych,et al. Miscellaneous error bounds for multiquadric and related interpolators , 1992 .
[6] B. Fornberg,et al. Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions , 2003 .
[7] Robert Schaback,et al. On unsymmetric collocation by radial basis functions , 2001, Appl. Math. Comput..
[8] P. Hansen,et al. The effective condition number applied to error analysis of certain boundary collocation methods , 1994 .
[9] G. J. Moridis,et al. The Laplace Transform Multiquadric Method: A Highly Accurate Scheme for the Numerical Solution of Partial Differential Equations , 1993 .
[10] P. Fedelinski,et al. Boundary element method in dynamic analysis of structures with cracks , 2004 .
[11] Bengt Fornberg,et al. Scattered node compact finite difference-type formulas generated from radial basis functions , 2006, J. Comput. Phys..
[12] E. Kansa,et al. Exponential convergence and H‐c multiquadric collocation method for partial differential equations , 2003 .
[13] Robert Schaback,et al. Stable and Convergent Unsymmetric Meshless Collocation Methods , 2008, SIAM J. Numer. Anal..
[14] Benny Y. C. Hon,et al. Compactly supported radial basis functions for shallow water equations , 2002, Appl. Math. Comput..
[15] Hung-Tsai Huang,et al. Effective condition number and superconvergence of the Trefftz method coupled with high order FEM for singularity problems , 2006 .
[16] D. L. Young,et al. Solutions of 2D and 3D Stokes laws using multiquadrics method , 2004 .
[17] Robert Schaback,et al. Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods , 2007, SIAM J. Numer. Anal..
[18] Y. Hon,et al. A grid-free, nonlinear shallow-water model with moving boundary , 2004 .
[19] Jukka Saranen,et al. The conditioning of some numerical methods for first kind boundary integral equations , 1996 .
[20] C. Brebbia,et al. Boundary Elements IX , 1987 .
[21] T. Driscoll,et al. Interpolation in the limit of increasingly flat radial basis functions , 2002 .
[22] Gregory E. Fasshauer,et al. Solving differential equations with radial basis functions: multilevel methods and smoothing , 1999, Adv. Comput. Math..
[23] R. Schaback,et al. Results on meshless collocation techniques , 2006 .
[24] R. Schaback. Multivariate Interpolation by Polynomials and Radial Basis Functions , 2005 .
[25] Robert Schaback,et al. Unsymmetric meshless methods for operator equations , 2010, Numerische Mathematik.
[26] C.-S. Chien,et al. Effective condition number for finite difference method , 2007 .
[27] A. Cheng,et al. Radial basis collocation methods for elliptic boundary value problems , 2005 .
[28] E. J. Kansa,et al. Multizone decomposition for simulation of time-dependent problems using the multiquadric scheme , 1999 .
[29] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[30] Thomas C. Cecil,et al. Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions , 2004 .
[31] Bengt Fornberg. Stable Computation of Multiquadric Interpolants for All Values of the Shape Parameter , 2002 .
[32] Shmuel Rippa,et al. An algorithm for selecting a good value for the parameter c in radial basis function interpolation , 1999, Adv. Comput. Math..
[33] T. Lu,et al. Singularities and treatments of elliptic boundary value problems , 2000 .
[34] R. Schaback,et al. On Adaptive Unsymmetric Meshless Collocation , 2004 .
[35] A. Cheng,et al. Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method , 2007 .
[36] T. Chan,et al. Effectively Well-Conditioned Linear Systems , 1988 .
[37] Jichun Li,et al. Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions , 2005, Adv. Comput. Math..
[38] T. Driscoll,et al. Observations on the behavior of radial basis function approximations near boundaries , 2002 .
[39] Robert Schaback,et al. Solvability of partial differential equations by meshless kernel methods , 2008, Adv. Comput. Math..
[40] Dietmar Hietel,et al. A projection technique for incompressible flow in the meshless finite volume particle method , 2005, Adv. Comput. Math..