Meshfree Approximation Methods With Matlab (With Cd-rom)

By: Gregory E Fasshauer

Write A Review

Paperback | 18 April 2007

At a Glance

Paperback
520 Pages

Dimensions(cm)
24.41 x 16.99 x 2.67

Paperback

RRP $126.99

$114.75

10%OFF

or 4 interest-free payments of $28.69 with

or

Ships in 15 to 25 business days

Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Mathematics

The Infinite Game

From the bestselling author of Start With Why

Paperback

RRP $29.99

$23.75

21%
OFF

Humble Pi

A Comedy of Maths Errors

Paperback

RRP $26.99

$22.99

15%
OFF

The Art of Gathering

How We Meet and Why It Matters

Paperback

RRP $26.99

$22.99

15%
OFF

Maths Sequences for the Early Years F-2

Challenging Children to Reason Mathematically

Paperback

RRP $74.95

$68.99

The Selfish Gene

40th Anniversary Edition

Paperback

RRP $32.95

$26.99

18%
OFF

Antifragile

Things That Gain from Disorder

Paperback

RRP $27.99

$23.75

15%
OFF

Tomoko Fuse's Amazing Kusudama Origami

Geometric Paper Art from Japan's Leading Expert!

Paperback

RRP $32.99

$28.75

13%
OFF

Statistics and Data Handling for Biologists : A Student's Guide - Neil Millar

$68.75

18%
OFF

The Pricing Playbook

A Practical Guide to Revenue Growth Management in the Age of AI

Hardcover

RRP $61.95

$50.75

18%
OFF

Algebra Workbook Grades 6-8

Algebra

Paperback

RRP $24.99

$18.99

24%
OFF

Mathematical Foundations of Blockchains

Engineering Principles, Volume 2

Hardcover

RRP $336.00

$289.75

14%
OFF

$Learning and Teaching Early Math : The Learning Trajectories Approach - Douglas H. Clements$

Learning and Teaching Early Math

The Learning Trajectories Approach

Paperback

$168.75

$Learning and Teaching Early Math : The Learning Trajectories Approach - Douglas H. Clements$

$18.75

25%
OFF

Advanced Analytics for Industry 4.0 : Technology Industries - Ali Soofastaei

$29.75

10%
OFF

Spectra of Signed Graphs

London Mathematical Society Lecture Note Series

Paperback

RRP $99.95

$89.75

10%
OFF

Philosophy of Mathematics after Wittgenstein

Hardcover

RRP $189.95

$167.99

12%
OFF

Philosophy of Mathematics after Wittgenstein

Paperback

RRP $63.95

$61.75

A Primer, and Beyond, on Composition Operators on the Unit Disk

New Mathematical Monographs

Hardcover

RRP $259.95

$226.75

13%
OFF

Small Probabilities and High Stakes

Elements in Decision Theory and Philosophy

Paperback

RRP $36.95

$35.75

Small Probabilities and High Stakes

Elements in Decision Theory and Philosophy

Hardcover

RRP $110.95

$96.99

13%
OFF

Extremal Graph and Hypergraph Theory

With Ramsey Theory

Hardcover

RRP $140.95

$127.75

Introduction	p. 1
Radial basis function interpolation in MATLAB	p. 17
Positive definite functions	p. 27
Examples of strictly positive definite radial functions	p. 37
Completely monotone and multiply monotone functions	p. 47
Scattered data interpolation with polynomial precision	p. 53
Conditionally positive definite functions	p. 63
Examples of conditionally positive definite functions	p. 67
Conditionally positive definite radial functions	p. 73
Miscellaneous theory : other norms and scattered data fitting on manifolds	p. 79
Compactly supported radial basis functions	p. 85
Interpolation with compactly supported RBFs in MATLAB	p. 95
Reproducing Kernel Hilbert spaces and native spaces for strictly positive definite functions	p. 103
The power function and native space error estimates	p. 111
Refined and improved error bounds	p. 125
Stability and trade-off principles	p. 135
Numerical evidence for approximation order results	p. 141
The optimally of RBF interpolation	p. 159
Least squares RBF approximation with MATLAB	p. 165
Theory for least squares approximation	p. 177
Adaptive least squares approximation	p. 181
Moving least squares approximation	p. 191
Examples of MLS generating functions	p. 205
MLS approximation with MATLAB	p. 211
Error bounds for moving least squares approximation	p. 225
Approximate moving least squares approximation	p. 229
Numerical experiments for approximate MLS approximation	p. 237
Fast fourier transforms	p. 243
Partition of unity methods	p. 249
Approximation of point cloud data in 3D	p. 255
Fixed level residual iteration	p. 265
Multilevel iteration	p. 277
Adaptive iteration	p. 291
Improving the condition number of the interpolation matrix	p. 303
Other efficient numerical methods	p. 321
Generalized hermite interpolation	p. 333
RBF hermite interpolation in MATLAB	p. 339
Solving elliptic partial differential equations via RBF collocation	p. 345
Non-symmetric RBF collocation in MATLAB	p. 353
Symmetric RBF collocation in MATLAB	p. 365
Collocation with CSRBFs in MATLAB	p. 375
Using radial basis functions in pseudospectral mode	p. 387
RBF-PS methods in MATLAB	p. 401
RBF Galerkin methods	p. 419
RBF Galerkin methods in MATLAB	p. 423
Useful facts from discrete mathematics	p. 427
Useful facts from analysis	p. 431
Additional computer programs	p. 435
Catalog of RBFs with derivatives	p. 443
Table of Contents provided by Blackwell. All Rights Reserved.

Meshfree Approximation Methods With Matlab (With Cd-rom)

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematics

The Infinite Game

From the bestselling author of Start With Why

Humble Pi

A Comedy of Maths Errors

The Art of Gathering

How We Meet and Why It Matters

Maths Sequences for the Early Years F-2

Challenging Children to Reason Mathematically

The Selfish Gene

40th Anniversary Edition

Antifragile

Things That Gain from Disorder

Tomoko Fuse's Amazing Kusudama Origami

Geometric Paper Art from Japan's Leading Expert!

Statistics and Data Handling for Biologists

A Student's Guide

Statistics and Data Handling for Biologists

A Student's Guide

The Pricing Playbook

A Practical Guide to Revenue Growth Management in the Age of AI

Algebra Workbook Grades 6-8

Algebra

Mathematical Foundations of Blockchains

Engineering Principles, Volume 2

Learning and Teaching Early Math

The Learning Trajectories Approach

Learning and Teaching Early Math

The Learning Trajectories Approach

Kumon Grades 6-8 Intro to Geometry

Grades 6 - 8

Advanced Analytics for Industry 4.0

Technology Industries

Oxford Maths for Australian Schools Value Pack Year 5

Oxford Maths

Spectra of Signed Graphs

London Mathematical Society Lecture Note Series

Philosophy of Mathematics after Wittgenstein

Philosophy of Mathematics after Wittgenstein

A Primer, and Beyond, on Composition Operators on the Unit Disk

New Mathematical Monographs

Small Probabilities and High Stakes

Elements in Decision Theory and Philosophy

Small Probabilities and High Stakes

Elements in Decision Theory and Philosophy

Extremal Graph and Hypergraph Theory

With Ramsey Theory

This product is categorised by