 | Trefftz and Collocation Methods
Z-C. LI, National Sun Yat-sen University, Taiwan, T-T. LU, National Center for Theoretical Science, Taiwan, H-Y. HU, National Tsing Hua University, Taiwan and A. H-D. CHENG, University of Mississippi, USA
ISBN: 978-1-84564-153-5
Published: 2008
Pages: 432pp
Hardback
List Price: £142.00
10% Discount Price: £127.80
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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 methods, 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, and the coupled collocation and finite element method. Governing equations investigated include Laplace, Poisson, Helmholtz and biharmonic 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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Price: £142.00
10% Discount Price: £127.80
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