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Spline Functions
Larry L. Schumaker
其他書名
Computational Methods
出版
SIAM
, 2015-01-01
主題
Science / Physics / Mathematical & Computational
Mathematics / Numerical Analysis
Mathematics / Complex Analysis
Mathematics / Differential Equations / Partial
Mathematics / Applied
ISBN
1611973902
9781611973907
URL
http://books.google.com.hk/books?id=k-AjCgAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
This book describes in detail the key algorithms needed for computing with spline functions and illustrates their use in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDE's. The focus is on computational methods for bivariate splines on triangulations in the plane and on the sphere, although both univariate and tensor-product splines are also discussed. The book contains numerous examples and figures to illustrate the methods and their performance. All of the algorithms in the book have been coded in a separate MATLAB package available for license. The package can be used to run all of the examples in the book and also provides readers with the essential tools needed to create software for their own applications. In addition to the included bibliography, a list of over 100 pages of additional references can be found on the book's website.