# Numerical Methods
Numerical methods implementation in MATLAB.
For the implementation in Python, see [this repository](https://github.com/cfgnunes/numerical-methods-python).
## Getting Started
### Running the examples
To run the main example, use:
main
## Implementations
### Solutions of equations
- Bisection method
- Newton method
- Secant method
### Interpolation
- Lagrange method
- Neville method
### Algorithms for polynomials
- Briot-Ruffini method
- Newton's Divided-Difference method
### Numerical differentiation
- Backward-difference method
- Three-Point method
- Five-Point method
### Numerical integration
- Composite Trapezoidal method
- Composite 1/3 Simpson's method
### Initial-value problems for ordinary differential equations
- Euler's method
- Taylor's (Order Two) method
- Taylor's (Order Four) method
- Runge-Kutta (Order Four) method
### Systems of differential equations
- Runge-Kutta (Order Four) method
### Methods for Linear Systems
- Gaussian Elimination
- Backward Substitution
- Forward Substitution
### Iterative Methods for Linear Systems
- Jacobi method
- Gauss-Seidel method
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Numerical methods implementation in MATLAB.zip
共27个文件
m:25个
md:1个
gitignore:1个
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Numerical methods implementation in MATLAB.zip (27个子文件)
numerical-methods-matlab-main
ode
taylor2.m 958B
rk4_system.m 1KB
taylor4.m 1KB
rk4.m 1KB
euler.m 905B
differentiation
derivative_three_point.m 1KB
derivative_five_point.m 1KB
derivative_backward_difference.m 968B
polynomials
newton_divided_difference.m 1KB
briot_ruffini.m 620B
main.m 6KB
solutions
bisection.m 1KB
secant.m 1KB
newton.m 1KB
interpolation
neville.m 712B
lagrange.m 576B
linear_systems
forward_substitution.m 611B
backward_substitution.m 615B
gauss_elimination_pp.m 1KB
linear_systems_iterative
jacobi.m 770B
gauss_seidel.m 776B
.gitignore 500B
README.md 1KB
integration
composite_trapezoidal.m 493B
composite_simpson.m 632B
composite2_simpson.m 728B
composite2_trapezoidal.m 589B
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