Numerical Computation in Science and Engineering

Second Edition, September 2008

Amazon | Barnes & Noble | Publisher

C Pozrikidis

Oxford University Press, 2008

Why this book?

Designed for the non-expert, student, science enthousiast or researcher, this text provides an accessible introduction to numerical computation with applications in science and engineering. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming. Fundamental and practical issues are discussed in a unified manner with a generous, but not excessive, dose of numerical analysis. Topics are introduced on a need to know basis to concisely illustrate the practical implementation of a variety of algorithms and demystify seemingly esoteric numerical methods. Algorithms that can be explained without too much elaboration and can be implemented within a few dozen lines of computer code are discussed in detail, and computer programs in Fortran, C++, and Matlab are provided. Algorithms whose underlying theories require long, elaborate explanations are discussed at the level of first principles, and references for further information are given. The book uses numerous schematic illustrations to demonstrate concepts and facilitate their understanding by providing readers with a helpful interplay between ideas and visual images. Real-world examples drawn from various branches of science and engineering are presented. The text is accompanied by a suite of computer programs arranged according to the book chapters.

Drawing a direct connection between numerical analysis and numerical computation Numerical Computation in Science and Engineering serves as an ideal text for undergraduate and graduate courses in numerical methods.

Programs

This book is accompanied by a suite of computer programs.

Errata

  1. Problem 9.1.4: Please change "cB,in" to "cC,in".
  2. Equation (9.6.17): Please change "-646" to "+646"
  3. Page 984: Please change "0.879 and 5.121" to "1.268 and 4.732", and "1.875 and 4.526" to "2.252 and 4.351".
  4. Problem 11.5.3: Please change "11.4.8" to "11.4.7".
  6. Equation (14.1.7) should read:
    \int_{C} ( \phi \, \nabla f - f \, \nabla \phi) \cdot \bn \: \d l = 0
    In the following sentence, please change "and $\d A = \d x \: \d y$ is a differential area in the $xy$ plane." to "and $\d l$ is the arc length along $C$."