Radial Basis Function Methods For Large-Scale Wave Propagation

Li, Jun-Pu, Qin, Qing-Hua

ISBN 10: 1681089009 / ISBN 13: 9781681089003

Published by Bentham science Publishers, 2021

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Bibliographic Details

• Title: Radial Basis Function Methods For Large-Scale Wave Propagation
• Publisher: Bentham science Publishers
• Publication Date: 2021
• Language: English
• ISBN 10: 1681089009
• ISBN 13: 9781681089003
• Binding: paperback
• Condition: New
• Book Type: book

About this title

Synopsis

This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions.

Key features:
- Introduces basic concepts of radial basis function methods
- Provides detailed derivations of several radial basis functions
- Explains complex problems using simple language
- Contains a wide range of numerical examples to demonstrate applications of relevant functions

- Combines the radial basis function with other known numerical methods (boundary element methods and differential equations).
- Includes references and appropriate chapter appendices
- Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations