Numerical Methods

Numerical Methods implementation via MATLAB.

Curve Fitting

• Linear Regression Curve Fitting
• Least Square Polynomials

Numerical Integration

• Composite Boole method
• Composite Simpson 1/3 method
• Composite Simpson 3/8 method
• Composite Trapezoidal method
• Composite Weddle rule
• Unequally Spaced Trapezoidal Rule Quadrature
• Gauss-Legendre Integration/Quadrature

Interpolation

• Lagrange method
• Newton method

Linear System of Equations

• Backward substitution
• Forward substitution
• Cholesky method
• Crout method
• Doolittle method
• Gauss Elimination
• Gauss-Jorden method
• Gauss-Seidel iteration method
• Jacobi method

Ordinary Differential Equations (Initial Value Problem)

• Runge-Kutta (Order Two) method
• Runge-Kutta (Order Three) method
• Runge-Kutta (Order Four) method
• Euler method
• Midpoint method
• Taylor (Order Two) method
• Taylor (Order Four) method

Solution of Nonlinear Equations f(x)=0

• Fixed-Point iteration
• Bisection method
• False-Position method
• Newton-Raphson iteration
• Secant Method