Numerical Computation Using C

Acknowledgements


0. Introduction

Some Compilation/Run-Time Tips

How to Obtain the Programs


1. STD Tutorial

First Principles

Do While Loops

If-Else Constructs

Printf Format Specifiers

Logical and Other Operators

C Functions

C Arrays

C Structures

Complex Arithmetic

The Switch Statement

Break, Continue And GoTo Statements


2. Pointers

Definition and Examples

Function Pointers

Pointer Arithmetic and Arrays

Vectors, Matrices and Dynamic Memory Allocation

Manipulation of Indices

Command-Line Arguments

File I/O: Reading and Writing Files


3. Fine Points

The Increment Operators

Operator Precedence

The for Statement

The Use of the "Shorthand" Operators

The Use of Stderr

The Use of The realloc Statement

Conditional Compiler Directives

Recursion

Location of Include Files

Puts vs Printf

Creating a Pause

ASCII Translation

Global, Automatic and Static Variables

The Use of Awk

Extern Variables

Nesting Rules

Comments Revisited

Stuctures Revisited


4. Applications

The Conjugate Gradient Method

An Initial-Value Problem for a System of Two Ordinary Differential Equations

A Boundary-Value Problem for a Nonlinear Ordinary Differential Equation

A More General Nonlinear Boundary-Value Problem

An Unusual Ordinary Differential Equation

The Heat Equation with Variable Conductivity

Laguerre's Method

Romberg Integration

Fourier Coefficients

Gauss-Laguerre Integration

Eigenvalues of a Symmetric Matrix

The Generalized Eigenvalue Problem

The Strum-Liouville Eigenvalue Problem

Jacobi's Method

The Symmetric QR Algorithm

Cubic Splines

Linear Systems

Newton's Method for Systems

Poisson's Equation and SOR

Appendix I. Complex Arithmetic Functions

Appendix II. Memory Allocation Functions

Appendix III. Plotting Files

Appendix IV. C Keywords

References

Index