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Binding: HardcoverDewey Decimal Number: 518.6 EAN: 9781845641535 ISBN: 1845641531 Label: WIT Press Manufacturer: WIT Press Number Of Items: 1 Number Of Pages: 432 Publication Date: February 22, 2008 Publisher: WIT Press Studio: WIT Press Browse for similar items by category: Click to Display Editorial Review: Product Description: This book covers a class of numerical methods that are generally referred to as "Collocation Methods". Different from the Finite Element and the Finite Difference Method, the discretization and approximation of the collocation method is based on a set of unstructured points in space. This "meshless" feature is attractive because it eliminates the bookkeeping requirements of the "element" based methods. This text discusses several types of collocation methods including the radial basis function method, the Trefftz method, the Schwartz alternating method, and the couple collocation and finite element method. Governing equations investigated include Laplace, Poisson, Helmholtz and bioharmonic equations. Regular boundary value problems, boundary value problems with singularity and eigenvalue problems are also examined, Rigorous mathematical proofs are contained in these chapters, and many numerical experiments are also provided to support the algorithms and to verify the theory. A tutorial on the applications of these methods is also provided. 
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