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Fast Radial Basis Functions for Engineering Applications

Authors: Biancolini, c/a Marco Evangelos

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  • Presents the first "How To" guide for a quick use of Radial Basis Functions in Engineering Applications
  • Presents a "Formula 1 powered" approach used by the author to assisttop racing teams
  • Demonstrates 12 different engineering applications in full
  • Includes software and worksheets to be readily useful and productive
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eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-75011-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-3-319-75009-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-030-09127-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF.

Radial basis functions (RBF) are a mathematical tool mature enough for useful engineering applications. Their mathematical foundation is well established and the tool has proven to be effective in many fields, as the mathematical framework can be adapted in several ways. A candidate application can be faced considering the features of RBF: 

multidimensional space (including 2D and 3D), numerous radial functions available, global and compact support, interpolation/regression.

This great flexibility makes RBF attractive – and their great potential has only been partially discovered. This is because of the difficulty in taking a first step toward RBF as they are not commonly part of engineers’ cultural background, but also due to the numerical complexity of RBF problems that scales up very quickly with the number of RBF centers. Fast RBF algorithms are available to alleviate this and high-performance computing (HPC) can provide further aid. Nevertheless, a consolidated tradition in using RBF in engineering applications is still missing and the beginner can be confused by the literature, which in many cases is presented with language and symbolisms familiar to mathematicians but which can be cryptic for engineers.

The book is divided in two main sections. The first covers the foundations of RBF, the tools available for their quick implementation and guidelines for facing new challenges; the second part is a collection of practical RBF applications in engineering, covering several topics, including response surface interpolation in n-dimensional spaces, mapping of magnetic loads, mapping of pressure loads, up-scaling of flow fields, stress/strain analysis by experimental displacement fields, implicit surfaces, mesh to cad deformation, mesh morphing for crack propagation in 3D, ice and snow accretion using computational fluid dynamics (CFD) data, shape optimization for external aerodynamics, and use of adjoint data for surface sculpting. For each application, the complete path is clearly and consistently exposed using the systematic approach defined in the first section.

Reviews

“This very interesting book contains the Radical Basis Function (RBF) Method and its main and recent applications. … I recommend the book to RBF mathematical foundation experts, who can find in it many interesting engineering applications of the method, and to engineers and scientists who have yet to discover this powerful tool.” (Alessandra De Rossi, Mathematical Reviews, February, 2019)


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-75011-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-3-319-75009-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-030-09127-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fast Radial Basis Functions for Engineering Applications
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-75011-8
DOI
10.1007/978-3-319-75011-8
Hardcover ISBN
978-3-319-75009-5
Softcover ISBN
978-3-030-09127-9
Edition Number
1
Number of Pages
XIV, 358
Number of Illustrations
316 b/w illustrations
Topics