https://github.com/chmuhammadasim/matlab-numerical-functions

https://github.com/chmuhammadasim/matlab-numerical-functions

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• Host: GitHub
• URL: https://github.com/chmuhammadasim/matlab-numerical-functions
• Owner: chmuhammadasim
• Created: 2023-11-02T07:24:19.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2023-12-29T03:46:33.000Z (over 1 year ago)
• Last Synced: 2025-01-28T18:16:05.828Z (4 months ago)
• Language: MATLAB
• Size: 144 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Numerical Odyssey Toolbox 🚀

Welcome to the Numerical Odyssey Toolbox - an eclectic ensemble of MATLAB scripts and functions that embark on a journey through the fascinating realm of numerical methods. From interpolation to root-finding, these scripts are your trusty companions in the world of scientific computing and engineering.

## Files:

### 1. **InverseFun.m** 🌌

   - *Plot twists in numbers:* Compute the enigmatic inverse function.

### 2. **Langrang.m** 🎭

   - *Theater of interpolation:* Unleash the dramatic power of Lagrangian interpolation.

### 3. **Project.m** 🚧

   - *Masterplan:* The epicenter of the entire numerical odyssey.

### 4. **Tas.m** 📚

   - *Tales of tasks:* Task-specific functions adding narrative depth.

### 5. **bessel_interpolation.m** 🌀

   - *Waves of interpolation:* Bessel interpolation method making numerical waves.

### 6. **bisect.m** ⚖️

   - *Root-finding saga:* Enter the bisection method, where roots meet balance.

### 7. **bisecttest.m** 🕵️‍♂️

   - *Detective work:* Test script for the enigmatic bisection method.

### 8. **computeErrors.m** 📉

   - *Error Chronicles:* A script to chronicle the errors that lurk in the numerical shadows.

### 9. **contbre.m** 🔄

   - *Continuation dance:* A mesmerizing dance of continuation after the break.

### 10. **forloop.m** 🔄

   - *Loop Symphony:* A musical script, orchestrating the beauty of a for loop.

### 11. **gau_si.m** 🌐

   - *Global expedition:* Gaussian quadrature using the Simpson's rule, a global numerical exploration.

### 12. **gauss_backward_interpolation.m** ↩️

   - *Backward whispers:* Gaussian backward interpolation, where the past converges to the present.

### 13. **gauss_forward_interpolation.m** ↪️

   - *Forward echoes:* Gaussian forward interpolation, echoing the future from the past.

### 14. **jacobi_i.m** 🌀

   - *Iteration Symphony:* Jacobi iteration method, orchestrating convergence with mathematical harmony.

### 15. **matlab.mat** 📦

   - *Magic box:* A MATLAB data file, a mystical container possibly holding precomputed wonders.

### 16. **mymax.m** 🌟

   - *Peak performance:* A custom function to unveil the maximum peak in an array, a star in the numerical sky.

### 17. **mymin.m** 🌠

   - *Celestial minimum:* A custom function to discover the minimum gem in an array, a celestial body in numerical space.

### 18. **new_divid.m** ÷

   - *Division Reimagined:* Explore the new division method, a mathematical twist on an ancient operation.

### 19. **newt_back.m** 🔄

   - *Backward Newtonian Leap:* Newton backward interpolation, a backward leap into the numerical unknown.

### 20. **newt_for.m** ↪️

   - *Forward Newtonian Leap:* Newton forward interpolation, a forward leap into the numerical frontier.

### 21. **newt_raph.m** 🌐

   - *Rhapsody of Raphson:* Newton-Raphson method, a rhapsody of roots in numerical harmony.

### 22. **operation.m** 🔄

   - *Operation Overture:* A symphony of numerical operations, where mathematical instruments play in unison.

### 23. **quadraticeq.m** 🌌

   - *Quadratic Opera:* A dramatic solution to the quadratic equation, a celestial opera of numerical roots.

### 24. **secent.m** ⚖️

   - *Secant Serenade:* Serenade with the secant method, a dance of convergence and divergence.

### 25. **simpsons_38_rule.m** 🎢

   - *Simpson's Thrill:* Experience the 3/8 rule of numerical integration, a thrilling ride through numerical landscapes.

### 26. **stirling_interpolation.m** ⭐

   - *Starry Interpolation:* Stirling interpolation method, where numerical stars align to form a smooth curve.

### 27. **strlng_itrpltn_2.m** ⭐

   - *Another Starry Interpolation:* An alternate version of Stirling interpolation, unveiling yet another constellation.

### 28. **threepoint_diff.m** 🔄

   - *Differential Waltz:* A waltz with the three-point difference formula, dancing through numerical derivatives.

### 29. **triangle.m** △

   - *Triangular Mystique:* A script shrouded in the mystical geometry of triangles, possibly for numerical divination.

### 30. **whileloop.m** 🔁

   - *Endless Loop:* A script illustrating the infinite beauty of a while loop, a journey without end.

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Embark on this numerical odyssey, explore the scripts, and let the mathematical adventure unfold! May your computations be ever precise, and your numerical methods lead you to undiscovered realms. 🚀✨