Numerical Computation Using C

Acknowledgements0. Introduction Some Compilation/Run-Time Tips How to Obtain the Programs1. 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 Statements2. 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 Files3. 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 Revisited4. 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 SORAppendix I. Complex Arithmetic FunctionsAppendix II. Memory Allocation FunctionsAppendix III. Plotting FilesAppendix IV. C KeywordsReferencesIndex