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Numerical Computations in MATLAB

7 posts, in order

A video course on numerical methods in MATLAB.

Start with part 1

  1. Root Finding in MATLAB: Video Tutorial

    Solve polynomial, nonlinear and linear equations in MATLAB with roots, fzero, fsolve and linsolve. Compare the worked examples and learn how to check residuals.

    YPTNM190520S01

  2. Eigenvalues and Eigenvectors in MATLAB: Video Tutorial

    Learn eigenvalues, eigenvectors and SVD in MATLAB, including diagonalization, low rank image approximation and checks on the reconstructed matrices.

    YPTNM190520S05

  3. Interpolation and Curve Fitting in MATLAB: Video Tutorial

    Compare polynomial fitting, grid interpolation, Fourier interpolation, splines and scattered-data methods in MATLAB, with practical checks for noisy data and extrapolation.

    YPTNM190520S07

  4. Integration and Differentiation in MATLAB: Video Tutorial

    Compute integrals and derivatives in MATLAB using functions or sampled data. Explore quadrature, trapezoidal integration, gradients, tolerances and sample spacing.

    YPTNM190520S12

  5. Working with Polynomials in MATLAB: Video Tutorial

    Work with MATLAB coefficient vectors to evaluate, fit, multiply, divide, differentiate and integrate polynomials. Check roots and division remainders.

    YPTNM190520S16

  6. Numerical Solution of Differential Equations in MATLAB: Video Tutorial

    Solve initial value, boundary value and delay differential equations in MATLAB. Follow oscillator examples and check tolerances, boundary conditions and history functions.

    YPTNM190520S17

  7. Optimization in MATLAB: Video Tutorial

    Model linear, integer, quadratic and nonlinear optimization problems in MATLAB. Follow worked examples and check feasibility, solver termination and local solutions.

    YPTNM190520S20