TY - BOOK AU - Fasshauer,Gregory E. TI - Meshfree approximation methods with MATLAB SN - 9812706348 AV - QA297 .F37 2007 U1 - 518.2 22 PY - 2007/// CY - Singapore, Hackensack, N.J. PB - World Scientific KW - MATLAB KW - Meshfree methods (Numerical analysis) KW - Approximation theory KW - Data processing N1 - Includes bibliographical references (p. 451-489) and index; Completely and Multiply Monotone Functions; Scattered Data Interpolation with Polynomial Precision; Miscellaneous Theory: Other Norms and Scattered Data Fitting on Manifolds; Compactly Supported Radial Basis Functions; The Optimality of RBF Interpolation; Theory for Least Squares Approximation; Moving Least Squares Approximation; Approximation of Point Cloud Data in 3D; Adaptive Iteration; Generalized Hermite Interpolation; RBF Galerkin Methods; and other papers N2 - Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations ER -