Description: DescriptionAdapted 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.Book is still in its original plastic. Please read the entire description prior to purchasing. Please check out our other great items. Thank you!
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EAN: 9781611974027
ISBN: 9781611974027
UPC: 9781611974027
MPN: N/A
Number of Pages: 231 Pages
Publication Name: Primer on Radial Basis Functions with Applications to the Geosciences
Language: English
Publisher: Society for Industrial AND Applied Mathematics
Subject: Earth Sciences / Geology, Mathematical Analysis
Item Height: 0.5 in
Publication Year: 2015
Type: Textbook
Item Weight: 14.5 Oz
Item Length: 9.7 in
Subject Area: Mathematics, Science
Author: Natasha Flyer, Bengt Fornberg
Item Width: 6.9 in
Series: Cbms-Nsf Regional Conference Series in Applied Mathematics Ser.
Format: Trade Paperback