A Primer on Radial Basis Functions with Applications to the Geosciences is popular PDF and ePub book, written by Bengt Fornberg in 2015-09-30, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, A Primer on Radial Basis Functions with Applications to the Geosciences can be Read Online from any device for your convenience.
A Primer on Radial Basis Functions with Applications to the Geosciences Book PDF Summary
?Adapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro- and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous approaches on some large benchmark problems. Using examples and heuristic explanations to create a practical and intuitive perspective, the authors address how, when, and why RBF-based methods work.? The authors trace the algorithmic evolution of RBFs, starting with brief introductions to finite difference (FD) and pseudospectral (PS) methods and following a logical progression to global RBFs and then to RBF-generated FD (RBF-FD) methods. The RBF-FD method, conceived in 2000, has proven to be a leading candidate for numerical simulations in an increasingly wide range of applications, including seismic exploration for oil and gas, weather and climate modeling, and electromagnetics, among others.? This is the first survey in book format of the RBF-FD methodology and is suitable as the text for a one-semester first-year graduate class.
Detail Book of A Primer on Radial Basis Functions with Applications to the Geosciences PDF
- Author : Bengt Fornberg
- Release : 30 September 2015
- Publisher : SIAM
- ISBN : 9781611974027
- Genre : Science
- Total Page : 226 pages
- Language : English
- PDF File Size : 21,7 Mb
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