C Programs

C Programs Related to the Book

Book Title: An Introduction to Computational Physics
Author: Tao Pang
Publisher: Cambridge University Press
Publication Place: New York
Publication Date: September, 1997
ISBN's: 0-521-48143-0 (hardback); 0-521-48592-4 (paperback)
List Prices: $110 (hardback); $42.95 (paperback)
Other Info: 393 Pages; 7 x 10; 30 Line Diagrams; 5 Tables; 94 Exercises; Bibliography and Index

Please Note:

All the C programs listed here are corresponding to the Fortran 77 programs appeared in or related to the book.
No warranties, express or implied, are made for any materials at this site.

Chapter 1. Introduction

Program 1.1: One-dimensional motion under a harmonic force.

Chapter 2. Basic Numerical Methods

Program 2.1: Lagrange interpolation with the Aitken method.
Program 2.A: Lagrange interpolation with the upward/downward correction method.
Program 2.2: Orthogonal polynomials generator.
Program 2.3: Millikan experiment fit.
Program 2.B: Millikan experiment with a direct linear fit.
Program 2.4: Derivatives with the three-point formulas.
Program 2.5: Integration with the Simpson rule.
Program 2.6: Root Search with the bisection method.
Program 2.7: Root Search with the Newton method.
Program 2.8: Root Search with the secant method.
Program 2.9: Bond length of NaCl.
Program 2.10: Classical scattering.
Program 2.11: Uniform random number generator.
Program 2.12: Exponential random number generator.
Program 2.13: Gaussian random number generator.
Program 2.C: An example on using the Gaussian random number generator.
Program 2.D: Another example on using the Gaussian random number generator.
Program 2.14: Two-dimensional percolation.

Chapter 3. Ordinary Differential Equations

Program 3.1: Simplest predictor-corrector scheme.
Program 3.2: Pendulum solved with the fourth order Runge-Kutta algorithm.
Program 3.3: Boundary-value problem solved with the shooting method.
Program 3.4: Simplest algorithm for the Sturm-Liouville equation.
Program 3.A: The Numerov algorithm from Eqs. (3.77)-(3.80).
Program 3.B: The Numerov algorithm from Eqs. (3.82)-(3.85).
Program 3.C: An application of Program 3.A.
Program 3.D: Eigenvalue problem of the 1D Schroedinger equation.

Chapter 4. Numerical Methods for Matrices

Program 4.1: The partial pivoting Gaussian elimination scheme.
Program 4.2: Determinant evaluated with the Gaussian elimination scheme.
Program 4.3: Linear equation set solved with the Gaussian elimination scheme.
Program 4.4: Matrix inversion with the Gaussian elimination scheme.
Program 4.5: Determinant polynomials generator.
Program 4.6: Random matrix generator.

Chapter 5. Spectral Analysis and Gaussian Quadrature

Program 5.1: Discrete Fourier transform.
Program 5.2: Fast Fourier transform.
Program 5.A: Power spectrum of a driven pendulum.
Program 5.3: Fast Fourier transform in two dimensions.
Program 5.4: The Legendre polynomials generator.
Program 5.5: The Bessel functions generator.

Chapter 6. Partial Differential Equations

Program 6.1: The bench problem.
Program 6.2: The relaxation scheme for one dimension.
Program 6.3: Ground water dynamics.
Program 6.4: The time-dependent temperature field.

Chapter 7. Molecular Dynamics

Program 7.1: Halley's comet studied with the Verlet algorithm.
Program 7.2: The Maxwell velocity distribution generator.

Chapter 8. Modeling Continuous Systems

Program 8.1: A simple example on finite element method.

Chapter 9. Monte Carlo Simulations

Program 9.1: An example with random sampling.
Program 9.2: An example with importance sampling.