https://github.com/timotej979/mathematical-programs

Simple mathematical programs created in free time
https://github.com/timotej979/mathematical-programs

c mathematics matlab numerical-analysis numerical-computation numerical-methods

Last synced: 4 months ago
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Simple mathematical programs created in free time

• Host: GitHub
• URL: https://github.com/timotej979/mathematical-programs
• Owner: Timotej979
• License: gpl-3.0
• Created: 2020-05-17T20:38:10.000Z (about 5 years ago)
• Default Branch: master
• Last Pushed: 2022-05-20T20:12:23.000Z (about 3 years ago)
• Last Synced: 2025-01-12T20:42:00.922Z (5 months ago)
• Topics: c, mathematics, matlab, numerical-analysis, numerical-computation, numerical-methods
• Language: MATLAB
• Homepage:
• Size: 48.8 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Mathematical-programs

Simple mathematical programs created in free time.

**_C programming language (Using 128 bit floating point percission):_**

    

  - **Taylor series** calculates the series upon given function and percision.

  - **SqrtOfPiE** calculates the value upon given percision, pi is calculated with Euler's formula and e with Taylor series expansion.

  - **SumOfNaturalNum** calculates partial sums of n given natural numbers and aproximates a parabola using least squares theorem for sequential natural numbers with partial sums of the given natural number. Then it caluculates the difference between the computed value and theorethical value of -1/12.

**_Numerical methods in Matlab:_**

  

  - **LU decomposition** with direct and reverse insertion with tridiagonal version of those.

    

  - **Cholesky decomposition** for tridiagonal positive definite matrices

    

  - **Bisection** for finding zeroes of a function

    

  - **Secant method** for finding zeroes of a function

  - **Tangent method** for finding zeroes of a function

  - **Newton method** for finding function intersections

  - **Euler method** for solving DE y' = f(x, y)

  - **Modified Euler method** for solving DE y' = f(x, y)

  - **Leapfrog method** for solving DE y' = f(x, y)

  - **Runge-Kutta method of 4-th order** for solving DE y' = f(x, y)

  - **Trapezoidal rule** for solving DE y' = f(x, y)

  - **Methods for numerical integration** for numerical calculation of integrals

    - Rectangular rule

    - Trapezoidal rule

    - Simpson 1/3 rule

    - Simpson 3/8 rule

    - Romberg method