Recent Advances in Radial Basis Function Collocation Methods

• Main Authors: Chen, Wen (Author), Fu, Zhuo-Jia (Author), Chen, C.S (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Engineering.; Computer mathematics.; Physics.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Computational Science and Engineering.; Numerical and Computational Physics.

This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tediou...

Table of Contents:

• Introduction
• Radial basis functions
• Different formulations of the Kansa method – domain discretization
• Boundary-type RBF collocation methods
• Open issues and Perspectives.