RBF-PS Methods in MATLAB 401 43. 390 42.3 A Non-Symmetric RBF-based Pseudospectral Method 391 42.4 A Symmetrie RBF-based Pseudospectral Method 394 42.5 A Unified Discussion 396 42.6 Summary 398 43. 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. 42.2 PDEs with Boundary Conditions via 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.
The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations.
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. 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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