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Created: 2024/10/28 01:58
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## Linear system of algebraic equations

- [ ] Background

### Direct elimination method

- [x] Matrix inversion method
- [x] Cramer's rule
- [x] Gauss Elimination method
- [x] Gauss Jordan method

### Iteration method

- [x] Jacobi method
- [x] Gauss-Seidel method

## Finite differences method

- [x] Background
- [x] Taylor series expansion
- [x] Approximation of first derivative
- [x] Approximation of second derivative

## Numerical differentiation

- [x] Background
- [x] Differentiating tabulated function (forward difference)
- [x] Differentiating tabulated function (backward difference)
- [x] Differentiating tabulated function (divided difference)
- [x] Difference formulae

## Numerical integration

- [ ] Background
- [x] Trapezoidal rule
- [x] Simpson's 1/3 rule
- [x] Simpson's 3/8 rule
- [x] Richardson's extrapolation based on trapezoidal rule
- [x] Romberg rule

## Euler formula

- [ ] Background
- [x] Method based math

## Taylors series

- [x] Method based math

## Runge-Kutta method

- [x] Background
- [x] Method based math