Partial Differential Equations for Geometric Design

Table of contents

  1. Front Matter
    Pages I-IX
  2. Hassan Ugail
    Pages 9-20
  3. Hassan Ugail
    Pages 31-45
  4. Hassan Ugail
    Pages 47-60
  5. Hassan Ugail
    Pages 61-69
  6. Hassan Ugail
    Pages 71-85
  7. Hassan Ugail
    Pages 87-99
  8. Hassan Ugail
    Pages 101-102
  9. Back Matter
    Pages 103-107

About this book

Introduction

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.

Keywords

Geometric Design Geometric Modeling Partial Differential Equations

Authors and affiliations

  1. 1.School of ComputingUniversity of BradfordBradfordUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-784-6
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-0-85729-783-9
  • Online ISBN 978-0-85729-784-6
  • About this book