Introduction

Document Type

Book Chapter

Publication Date

11-9-2013

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Radial basis functions (RBFs) are constructed in terms of one-dimensional distance variable and appear to have certain advantages over the traditional coordinates-based functions. In contrast to the traditional meshed-based methods, the RBF collocation methods are mathematically simple and truly meshless, which avoid troublesome mesh generation for high-dimensional problems involving irregular or moving boundary. This opening chapter begins with the introduction to RBF history and its applications in numerical solution of partial differential equations and then gives a general overview of the book.

Publication Title

Recent Advances In Radial Basis Function Collocation Methods

First Page

1

Last Page

4

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