Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students. Lecture IV: RBF Collocation and Polynomial Pseudospectral Methods.
A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points.
Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. Meshfree Approximation Methods With Matlab (With Cd-rom) by Gregory E Fasshauer, 9789812706348, available at Book Depository with free delivery worldwide. Meshfree Methods (MMs) are considered an attractive alternative to mesh-based methods such as the Finite Element Method (FEM) due to their efficiency in solving complex problems (e.g. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. /rebates/2f97898127063482fMeshfree-Approximation-Methods-MATLAB-Interdisciplinary-98127063482fplp&. Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present.
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