A Primer on Radial Basis Functions with Applications to the Geosciences - Couverture souple

Fornberg, Bengt ; Flyer, Natasha

9781611974027: A Primer on Radial Basis Functions with Applications to the Geosciences

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ISBN 10 : 161197402X ISBN 13 : 9781611974027

Editeur : Society for Industrial and Applied Mathematics, 2015

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Radial Basis Functions (RBFs) are a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. The ability to apply RBFs to a wide range of problems, including fluid mechanics, wave motions and geosciences, makes them a vital tool for graduates and researchers specialising in many application areas, ranging from numerical analysis to geoscience. Using examples and heuristic explanations to generate a practical and intuitive perspective, this book addresses how, when, and why RBF-based methods work. The logical progression of the book, beginning with an introduction to finite difference (FD), ensures a comprehensive study of RBF-RD methods which are fast becoming a dominant methodology for numerical simulations in a wide range of applications. As the first book to survey RBF-FD methodology, the value this text brings to graduates and researchers is unparalleled.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos des auteurs

Bengt Fornberg received his PhD from Uppsala University in Sweden. Following positions at the European Organization for Nuclear Research (CERN), the California Institute of Technology, and Exxon Corporate Research, he has been on the faculty of Applied Mathematics at the University of Colorado Boulder since 1995. His research focus is on numerical methods for solving PDEs and computational methodologies for analytic functions.

Natasha Flyer received her PhD from the University of Michigan, Ann Arbor. She is a staff scientist at the National Center for Atmospheric Research in Boulder, Colorado. Her research interests include development of computational methods for solar physics and geosciences and hybrid analytical-numerical methods for the solution of PDEs with singularities.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Society for Industrial and Applied Mathematics
Date d'�dition: 2015
Langue: anglais
ISBN 10: 161197402X
ISBN 13: 9781611974027
Reliure: Broch�
Nombre de pages: 235
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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A Primer on Radial Basis Functions with Applications to the Geosciences (eng)

Fornberg, Bengt

Edit� par Society for Industrial and Applied Mathematics, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

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A Primer on Radial Basis Functions with Applications to the Geosciences

Natasha Flyer, Bengt Fornberg

Edit� par Society for Industrial and Applied Mathematics,U.S., US, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

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Paperback. Etat : New. 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. N� de r�f. du vendeur LU-9781611974027

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A Primer on Radial Basis Functions with Applications to the Geosciences (CBMS-NSF Regional Conference Series in Applied Mathematics)

Bengt Fornberg

Edit� par Society for Industrial and Applied Mathematics, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

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A Primer on Radial Basis Functions with Applications to the Geosciences

Bengt Fornberg

Edit� par MP-SIA SIAM - Society for Industrial and Applied M, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

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A Primer on Radial Basis Functions with Applications to the Geosciences (CBMS-NSF Regional Conference Series in Applied Mathematics)

Bengt Fornberg, Natasha Flyer

Edit� par SIAM-Society for Industrial and Applied Mathematics, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

Neuf Couverture souple

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A Primer on Radial Basis Functions with Applications to the Geosciences (Paperback)

Bengt Fornberg

Edit� par Society for Industrial & Applied Mathematics,U.S., New York, 2015

ISBN 10 : 161197402X ISBN 13 : 9781611974027

Neuf Paperback

Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis

�valuation du vendeur 5 sur 5 �toiles

Paperback. Etat : new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9781611974027

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