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Earlier in Bisection Method Algorithm and Bisection Method Pseudocode, we discussed about an algorithm and pseudocode for computing real root of non-linear equation using Bisection Method. Microsoft office enterprise 2007 product key. In this tutorial we are going to implement Bisection Method using C programming language. Bisection Method The bisection method in # mathematics is a # root-finding method which repeatedly bisects an # interval and then selects a subinterval in which a # root must lie for further processing. It is a very simple and robust method, but it is also relatively slow. Because of this, it is often used to obtain a rough.
Simple programs
# Quadratic equation ax^2 + bx + c = 0
# Fibonacci numbers
# Legendre polynomials Pn(x)
Real roots of non-linear equations
# Bisectional method Bisection.f90
# Closed Domain (Bisectional or False position selected by a key) CDomain.f90
# Open Domain: Newton's method Newton1.f90
# Open Domain: The method of secants Secant.f90
# Brute force method for multiple roots BForce.f90
# Solutions of a system of two nonlinear equations f(x,y) = 0, g(x,y) = 0 Newton2.f90
Integration of a single variable function f(x)
# Simpson rule on n intervals (simpson.f90)
# Integration based based on Gauss 8 points or 16 points (gauss.f90)
# Automatic adaptive integration based on Simpson rule (simpson2.f90)
# Automatic adaptive integration based on Gauss quaratures (gauss2.f90)
# Automatic adaptive integration - Gauss quaratures + recursive calls (gaussA.f90)
# Trapezoid approximation for n intervals (int_trap.f)
# Automatic adaprive integration - Newton-Cotes quadrature (program quanc8.f)
# Driver program for int_trap.f, quanc8.f
Integration of a function of two variables f(x,y)
# Integration of a function f(x,y) using cubature trapezoid rule (trap_2Dc.f90)
# Automatic adaptive Integration of a function f(x,y) using Simpson rule (simpson2D.f90)
Interpolation (single variable)
# Polinomial (Lagrange) interpolation Lagint.f90
# Polinomial (Divided differences) interpolation DDint.f90
# Spline interpolation Spline.f90