https://github.com/roscibely/numerical-analysis-methods

Repository for Numerical analysis (PEX0103, PET1705, PEN2049) subject/course on Information Technology course and Science and Technology course - Ufersa
https://github.com/roscibely/numerical-analysis-methods

bissection least-squares newton-raphson numerical-analysis polynomial-interpolation

Last synced: 4 months ago
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Repository for Numerical analysis (PEX0103, PET1705, PEN2049) subject/course on Information Technology course and Science and Technology course - Ufersa

• Host: GitHub
• URL: https://github.com/roscibely/numerical-analysis-methods
• Owner: roscibely
• License: gpl-2.0
• Created: 2018-09-16T22:52:09.000Z (almost 7 years ago)
• Default Branch: master
• Last Pushed: 2021-05-08T15:09:17.000Z (about 4 years ago)
• Last Synced: 2025-01-21T21:47:14.177Z (5 months ago)
• Topics: bissection, least-squares, newton-raphson, numerical-analysis, polynomial-interpolation
• Language: Scilab
• Homepage:
• Size: 27.3 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
## Introduction to Numerical Analysis

Repository for Numerical analysis (PEX0103, PET1705, PEN2049) subject/course on Information Technology course and Science and Technology course - Ufersa

    Part I 

    

    I. Numerical erros

    

    II. Zeros of Functions Methods

        1. Bissection method;

        2. Newton method; 

        3. Secant method.

    

    Part II 

    

    I. Methods to solve linear systems

        1. LU decomposition

        2. Gauss elimination

        3. Jordan-Guass method

        4. Gauss-Seidel method

    

    II. Polynomial-Interpolation

        1. Lagrange method

        A way to find a polynomial which takes on certain values at arbitrary points

        2. Newton method

    III. Least squares method (LSM)

    

    Part III 

    

    I. Integration techniques

         1. Newton-Cotes formulas

            i.   Trapezoid rule or trapezium rule

            ii.  Simpson's 1/3 rule 

            iii. Simpson's 3/8 rule 

            iv.  Boole's Rule

        2.  Gaussian Quadrature

        

    II. Ordinary differential equation (ODE) 

    

        1. Euler method 

        2. Runge-kutta methods (2,3, and 4)