Numerical Methods with Matlab

Topics:

1. Introduction to Matlab.
2. Data fiting - Lagrange and Chebyshev interpolation, least-square method, polygonal regression, fast Fourier
transform.
3. Numerical integration - Newton-Cotes, Gauss-Legendre, and Gauss-Hermite formula.
4. Iterative methods for nonlinear equations - bisection, fixed point iterations, Newton method.
5. Numerical solution of ordinary differential equations - one-step Euler and Crank-Nicholson methods, multi-step Runge-Kutta methods, predictor-corrector, Galerkin, and parareal methods.