MESHFREE APPROXIMATION METHODS WITH MATLAB (WITH CD-ROM) (Interdisciplinary Mathematical Sciences)

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.

Science & Math

FASSHAUER, GREGORY E

Mathematics

World Scientific Publishing Company

<p>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.</p>

<p>In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in a variety of fields of application. With the aim of providing researchers involved in function approximation, boundary value problems, spatial statistics and machine learning with the flexible and high-order tools developed using kernels, the authors explore their historical context and explain recent advances as strategies to address long-standing problems.The examples are drawn from fields as diverse as surrogate modeling, machine learning and finance, and researchers from those and other fields will be able to follow the examples on their own machines using the included MATLAB code accessible through the library online.In combining the theoretical foundation of positive definite kernels with accessible experimentation from which to build on, the authors are empowering readers to use these powerful tools on their problems of interest.</p>

KERNEL-BASED APPROXIMATION METHODS USING MATLAB (Interdisciplinary Mathematical Sciences)

McCourt, Michael J

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Books by FASSHAUER, GREGORY E

See the best price to sell, buy, or rent books by FASSHAUER, GREGORY E. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

MESHFREE APPROXIMATION METHODS WITH MATLAB (WITH CD-ROM) (Interdisciplinary Mathematical Sciences)

MESHFREE APPROXIMATION METHODS WITH MATLAB (WITH CD-ROM) (Interdisciplinary Mathematical Sciences)

KERNEL-BASED APPROXIMATION METHODS USING MATLAB (Interdisciplinary Mathematical Sciences)