Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. The author provides a clear introduction to the classical methods, how they work and why they sometimes fail. Crucially, he also demonstrates how these simple and classical techn
Numerical Analysis for Scientists and Engineers: Theory and C Programs
โ Scribed by Madhumangal Pal
- Publisher
- Alpha Science International Ltd.
- Year
- 2007
- Tongue
- English
- Leaves
- 670
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Numerical Analysis for Scientists and Engineers develops the subject gradually by illustrating several examples for both the beginners and the advanced readers using very simple language. The classical and recently developed numerical methods are derived from mathematical and computational points of view. Different aspects of errors in computation are discussed in detailed. Some finite difference operators and different techniques to solve difference equations are presented here. Various types of interpolation, including cubic-spline, methods and their applications are introduced. Direct and iterative methods for solving algebraic and transcendental equations, linear system of equations, evaluation of determinant and matrix inversion, computation of eigenvalues and eigenvectors of a matrix are well discussed in this book. Detailed concept of curve fitting and function approximation, differentiation and integration (including Monte Carlo method) are given. Many numerical methods to solve ordinary and partial differential equations with their stability and analysis are also presented. The algorithms and programs in C are designed for most of the numerical methods.
โฆ Table of Contents
- Errors in numerical computations.
- Calculus of finite differences and difference equations.
- Interpolation.
- Solution of algebraic and transcendental equations.
- Solution of system of differential equations.
- Eigenvalues and Eigenvectors of a matrix.
- Differentiation and integration.
- Ordinary differential equations.
- Partial differential equations.
- Least squares approximation.
โฆ Subjects
Numerical analysis, Numerical methods, C code,
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