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COMPREHENSIVE LIST OF NUMERICAL METHODS

Nonlinear Equations

      Bisection Method

     Newton-Raphson Method

     Secant Method

 

SIMULTANEOUS LINEAR EQUATIONS

      Gaussian Elimination

     Gauss-Seidel Method

     LU Decomposition

    

Interpolation

      Direct Method

     Newton's Divided Difference Method

     Lagrange Method

     Spline Method

 

REGRESSION

     Linear Regression

     Nonlinear Regression

 

Integration

      Trapezoidal Rule

     Simpson's 1/3rd Rule

     Romberg Integration

     Gauss-Quadrature Rule

     Discrete Data Integration

     Improper Integration

 

ORDINARY DIFFERENTIAL EQUATIONS

      Euler's Method

     Runge-Kutta 2nd Order Method

     Runge-Kutta 4th Order Method

     Finite Difference Method

     Shooting Method

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.