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Partial Differential Equations for Geometric Design

  • Textbook
  • © 2011

Overview

Authors:
  1. Hassan Ugail

    1. School of Computing, University of Bradford, Bradford, United Kingdom

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  • Provides detailed description of how Partial Differential Equations are used in the field of geometric design
  • Supplies clear and concise explanations of how to implement the techniques described
  • Offers extensive discussions (with examples) or practical applications of Partial Differential Equations in geometric design
  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-IX
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  2. Elementary Mathematics for Geometric Design

    • Hassan Ugail
    Pages 1-7

  3. Introduction to Geometric Design

    • Hassan Ugail
    Pages 9-20

  4. Introduction to Partial Differential Equations

    • Hassan Ugail
    Pages 21-30

  5. Elliptic PDEs for Geometric Design

    • Hassan Ugail
    Pages 31-45

  6. Interactive Design

    • Hassan Ugail
    Pages 47-60

  7. Parametric Design

    • Hassan Ugail
    Pages 61-69

  8. Functional Design

    • Hassan Ugail
    Pages 71-85

  9. Other Applications

    • Hassan Ugail
    Pages 87-99

  10. Conclusions

    • Hassan Ugail
    Pages 101-102

  11. Back Matter

    Pages 103-107
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Keywords

About this book

The subject of Partial Differential Equations (PDEs) which first emerged in the 18th century holds an exciting and special position in the applications relating to the mathematical modelling of physical phenomena. The subject of PDEs has been developed by major names in Applied Mathematics such as Euler, Legendre, Laplace and Fourier and has applications to each and every physical phenomenon known to us e.g. fluid flow, elasticity, electricity and magnetism, weather forecasting and financial modelling. This book introduces the recent developments of PDEs in the field of Geometric Design particularly for computer based design and analysis involving the geometry of physical objects. Starting from the basic theory through to the discussion of practical applications the book describes how PDEs can be used in the area of Computer Aided Design and Simulation Based Design. Extensive examples with real life applications of PDEs in the area of Geometric Design are discussed in the book.

Reviews

From the reviews:

“The book is devoted to the application of partial differential equations (PDEs) in geometric design. The main idea of the book is to describe how elliptic PDEs can be used as an intuitive surface generation and manipulation tool. … The book should equally serve as a reference for the mathematical foundamentals and modern applications using PDEs and as a tool for geometric design. It is suitable both as a textbook and a professional reference for students, researchers and engineers.” (Agnieszka Lisowska, Zentralblatt MATH, Vol. 1230, 2012)

Authors and Affiliations

  • School of Computing, University of Bradford, Bradford, United Kingdom

    Hassan Ugail

Bibliographic Information

  • Book Title: Partial Differential Equations for Geometric Design

  • Authors: Hassan Ugail

  • DOI: https://doi.org/10.1007/978-0-85729-784-6

  • Publisher: Springer London

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer-Verlag London Limited 2011

  • Hardcover ISBN: 978-0-85729-783-9Published: 24 August 2011

  • Softcover ISBN: 978-1-4471-6112-7Published: 23 August 2014

  • eBook ISBN: 978-0-85729-784-6Published: 24 August 2011

  • Edition Number: 1

  • Number of Pages: IX, 107

  • Topics: Math Applications in Computer Science

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