Numerical Computation in Science and Engineering

Hardcover | September 1, 2008

byC Pozrikidis

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Designed for non-expert student, enthusiast, or researcher, this two-volume text provides an accessible introduction to numerical computation and its 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 numericalmethods. 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 explanationsare 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-worldexamples drawn from various branches of science and engineering are presented. Updated information on computer technology and numerical methods is included, many new and some original topics are introduced. Additional solved and unsolved problems are included.

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Designed for non-expert student, enthusiast, or researcher, this two-volume text provides an accessible introduction to numerical computation and its applications in science and engineering. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming.Fundamental and practical issues are discussed in ...

C. Pozrikidis is Professor of Engineering at the University of California, San Diego. He is the author of nine books on theoretical and computational fluid dynamics and biomechanics, boundary element methods, spectral and finite element methods, and computer programming.

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Format:HardcoverDimensions:1362 pages, 10 × 7 × 0.98 inPublished:September 1, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195376110

ISBN - 13:9780195376111

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Table of Contents

1. Computers and Computing2. Numerical Matrix Algebra and Matrix Calculus3. Linear Algebraic Equations4. Nonlinear Algebraic Equations5. Eigenvalues of Matrices6. Function Interpolation and Differentiation7. Numerical Integration8. Function Approximation9. Ordinary Differential Equations10. Discretization and Expansion Methods for ODEs11. The Finite-Difference Method for PDEs12. Finite-Difference Method for the Poisson and Laplace Equations13. Finite-Difference Method for Convection-Diffusion14. The Boundary-Element Method15. The Finite-Element MethodAppendicesA. Calculus PrimerB. Orthogonal PolynomialsC. Unix PrimerD. C++/Matlab/Fortran 77 DictionaryE. ASCII CodeF. Matlab Primer