Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Generalized Collocation Methods - Solutions to Nonlinear Problems

Generalized Collocation Methods

Solutions to Nonlinear Problems

Bellomo, N., Lods, B., Revelli, R., Ridolfi, L.

2008, XII, 196p. 62 illus..

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$49.95

(net) price for USA

ISBN 978-0-8176-4610-3

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$69.95

(net) price for USA

ISBN 978-0-8176-4525-0

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Unified presentation of modeling, mathematical methods, and scientific computation
  • Examples and exercises are included in every chapter and scientific packages such as Mathematica, Maple, and MATLAB may be easily incorporated as problem-solving tools for material presented in the work
  • Numerous real-world applications, including wave motion models, vehicular traffic flow, and population dynamics

This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution.

Based on a unified approach combining modeling, mathematical methods, and scientific computation, each chapter begins with several examples and problems solved by computational methods; full details of the solution techniques used are given. The last section of each chapter provides problems and exercises giving readers the opportunity to practice using the mathematical tools already presented. Rounding out the work is an appendix consisting of scientific programs in which readers may find practical guidelines for the efficient application of the collocation methods used in the book. Although the authors make use of Mathematica®, readers may use other packages such as MATLAB® or MapleTM depending on their specific needs and software preferences.

Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems.

Content Level » Research

Keywords » Boundary value problem - MATLAB - Maple - analysis - collocation methods - convection-diffusion models - differential quadrature method - hydrodynamic models - modeling - nonlinear evolution equations - operator - population dynamics - reaction-diffusion models - tran - wave phenomena models

Related subjects » Birkhäuser Engineering - Birkhäuser Mathematics

Table of contents 

Mathematical Models and Problems in Applied Sciences.- Lagrange and Sinc Collocation Interpolation Methods.- Nonlinear Initial Value Problems in Unbounded Domains.- Nonlinear Initial-Boundary Value Problems in One Space Dimension.- Initial-Boundary Value Problems in Two Space Dimensions.- Additional Mathematical Tools for Nonlinear Problems.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.