Program For Bisection Method In Fortran 77

Fortran 77 Programs Fortran 77 Programs Related to the Book Book Title: Author: Publisher: 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: • Most programs listed here have appeared in the book (as indicated), which are copyrighted by Cambridge University Press. • No warranties, express or implied, are made for any materials at this site. Introduction •: One-dimensional motion under a harmonic force (appeared in the book). Basic Numerical Methods •: Lagrange interpolation with the Aitken method (appeared in the book). •: Lagrange interpolation with the upward/downward correction method. •: Orthogonal polynomials generator (appeared in the book). •: Millikan experiment fit (appeared in the book).

Numerical Recipes in Fortran 77, Second Edition (1992) Obsolete edition, no longer supported. Please consider using the much-expanded and improved Third Edition (2007. This formula is identical to that for the Linear Interpolation method discussed in section3.3.

•: Millikan experiment with a direct linear fit. •: Derivatives with the three-point formulas (appeared in the book). •: Integration with the Simpson rule (appeared in the book). •: Root Search with the bisection method (appeared in the book).

•: Root Search with the Newton method (appeared in the book). •: Root Search with the secant method (appeared in the book). •: Bond length of NaCl (appeared in the book). •: Classical scattering (appeared in the book). •: Uniform random number generator (appeared in the book).

•: Exponential random number generator (appeared in the book). •: Gaussian random number generator (appeared in the book). •: Two-dimensional percolation (appeared in the book). Ordinary Differential Equations •: Simplest predictor-corrector scheme (appeared in the book). •: Pendulum solved with the fourth order Runge-Kutta algorithm (appeared in the book).

•: Boundary-value problem solved with the shooting method (appeared in the book, with minor modifications). •: Simplest algorithm for the Sturm-Liouville equation (appeared in the book).

•: The Numerov algorithm from Eqs. •: The Numerov algorithm from Eqs. •: An application of Program 3.A.

Method

•: Eigenvalue problem of the 1D Schroedinger equation. Numerical Methods for Matrices •: The partial pivoting Gaussian elimination scheme (appeared in the book). •: Determinant evaluated with the Gaussian elimination scheme (appeared in the book). •: Linear equation set solved with the Gaussian elimination scheme (appeared in the book). •: Matrix inversion with the Gaussian elimination scheme (appeared in the book).

For

•: Determinant polynomials generator (appeared in the book). •: Random matrix generator (appeared in the book).

Spectral Analysis and Gaussian Quadrature •: Discrete Fourier transform (appeared in the book). •: Fast Fourier transform (appeared in the book). •: Power spectrum of a driven pendulum. •: Fast Fourier transform in two dimensions (appeared in the book). •: The Legendre polynomials generator (appeared in the book).

•: The Bessel functions generator (appeared in the book). Partial Differential Equations •: The bench problem (appeared in the book). •: The relaxation scheme for one dimension (appeared in the book). •: Ground water dynamics (appeared in the book). •: The time-dependent temperature field (appeared in the book).

Molecular Dynamics •: Halley's comet studied with the Verlet algorithm (appeared in the book). •: The Maxwell velocity distribution generator (appeared in the book). Modeling Continuous Systems •: A simple example on finite element method (appeared in the book). Monte Carlo Simulations •: An example with random sampling (appeared in the book). •: An example with importance sampling (appeared in the book).

High-Performance Computing •: An example of communication in MPI environment (appeared in the book). •: An MPI program on evaluation of the Euler constant (appeared in the book).

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