TY - BOOK ID - 14220845 TI - Recent advances in radial basis function collocation methods AU - Chen, Wen. AU - Fu, Zhuo-Jia AU - Chen, C. S. PY - 2014 SN - 3642395716 3642395724 PB - Heidelberg [Germany] : Springer, DB - UniCat KW - Collocation methods. KW - Engineering mathematics. KW - Engineering KW - Engineering analysis KW - Mathematics KW - Engineering. KW - Computer mathematics. KW - Physics. KW - Mechanics. KW - Mechanics, Applied. KW - Theoretical and Applied Mechanics. KW - Computational Science and Engineering. KW - Numerical and Computational Physics. KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Construction KW - Industrial arts KW - Technology KW - Mathematical analysis KW - Differential equations KW - Integral equations KW - Numerical solutions KW - Mechanics, applied. KW - Computer science. KW - Numerical and Computational Physics, Simulation. KW - Informatics KW - Science KW - Radial basis functions. UR - https://www.unicat.be/uniCat?func=search&query=sysid:14220845 AB - 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 tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi. ER -