Meshfree Approximation Methods with MATLAB

Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. 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. 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. 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. 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.

The author can only be congratulated for this work which will provide useful material for readers for years to come. -- Zentralblatt MATH

The book gives a very readable account of the subject matters with algorithms and Matlab implementations of the algorithms ... This is a good book for an introduction to the subject or for a basic, computationally oriented, course. -- Mathematical Reviews

The author can only be congratulated for this work which will provide useful material for readers for years to come. --Zentralblatt MATH