Bengt Fornberg's Books

A Practical Guide to Pseudospectral Methods

By: Bengt Fornberg

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A Practical Guide to Pseudospectral Methods

By: Bengt Fornberg

This book explains how, when and why the pseudospectral approach works.

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Page Count

248

Publisher

Cambridge University Press

Published Date

ISBN 10

0521645646

ISBN 13

9780521645645

Complex Variables and Analytic Functions

An Illustrated Introduction

By: Bengt Fornberg,Cécile Piret

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Complex Variables and Analytic Functions

An Illustrated Introduction

By: Bengt Fornberg,Cécile Piret

At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of WienerHopf methods. It also presents current advances in research, highlighting the subjects active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.

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Page Count

372

Publisher

SIAM

Published Date

ISBN 10

1611975980

ISBN 13

9781611975987

A Primer on Radial Basis Functions with Applications to the Geosciences

By: Bengt Fornberg,Natasha Flyer

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A Primer on Radial Basis Functions with Applications to the Geosciences

By: Bengt Fornberg,Natasha Flyer

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.

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Page Count

226

Publisher

SIAM

Published Date

ISBN 10

1611974046

ISBN 13

9781611974041

A Primer on Radial Basis Functions with Applications to the Geosciences

By: Bengt Fornberg,Natasha Flyer

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A Primer on Radial Basis Functions with Applications to the Geosciences

By: Bengt Fornberg,Natasha Flyer

?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.

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Page Count

226

Publisher

SIAM

Published Date

ISBN 10

161197402X

ISBN 13

9781611974027

A Practical Guide to Pseudospectral Methods

By: Bengt Fornberg

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A Practical Guide to Pseudospectral Methods

By: Bengt Fornberg

This book explains how, when and why the pseudospectral approach works.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

248

Publisher

Cambridge University Press

Published Date

ISBN 10

0521645646

ISBN 13

9780521645645

Complex Variables and Analytic Functions

An Illustrated Introduction

By: Bengt Fornberg,Cécile Piret

Write a review Read reviews Take a Quiz Solve Book Puzzle

Complex Variables and Analytic Functions

An Illustrated Introduction

By: Bengt Fornberg,Cécile Piret

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

372

Publisher

SIAM

Published Date

ISBN 10

1611975980

ISBN 13

9781611975987

Book's by Bengt Fornberg

A Practical Guide to Pseudospectral Methods

A Practical Guide to Pseudospectral Methods

Complex Variables and Analytic Functions

Complex Variables and Analytic Functions

A Primer on Radial Basis Functions with Applications to the Geosciences

A Primer on Radial Basis Functions with Applications to the Geosciences

A Primer on Radial Basis Functions with Applications to the Geosciences

A Primer on Radial Basis Functions with Applications to the Geosciences

A Practical Guide to Pseudospectral Methods

A Practical Guide to Pseudospectral Methods

Complex Variables and Analytic Functions

Complex Variables and Analytic Functions

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