Recent Advances in Radial Basis Function Collocation Methods

Recent Advances in Radial Basis Function Collocation Methods

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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 worlda€™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.11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. J. Duchon, Interpolation des fonctions de deux variables suivant ... 10(12), 5a€“12 ( 1976) W.R. Madych, S.A. Nelson, Multivariate interpolation and conditionally positive definite functions. ... Society (Series 2) 41(01), 33a€“46 (1998) K.K. Prem, Fundamental Solutions for Differential Operators and Applications. ... 29(7), 699a€“ 702 (2005) W. Chen, Meshfree boundary particle method applied to Helmholtz problems.

Title:Recent Advances in Radial Basis Function Collocation Methods
Author: Wen Chen, Zhuo-Jia Fu, C.S. Chen
Publisher:Springer Science & Business Media - 2013-11-09

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