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SVD Method of Snapshots.Matrix Completion and the Netflix Prize.Unitary Transformations and the SVD.Linear Systems of Equations, Least Squares Regression, Pseudoinverse.Least Square Regression and the sVD.Randomized Singular Value Decomposition.
Explore the Kalman Filter in Matlab with Steve Brunton in less than an hour. Learn about dynamical systems and simulations using an inverted pendulum on a cart.
Turbulence: Reynolds Averaged Navier-Stokes (RANS) Equations (Part 2, Momentum Equation) Turbulent Fluid Dynamics are Everywhere. Data-driven nonlinear aeroelastic models of morphing wings for control. Finite-Horizon, Energy-Optimal Trajectories in Unste…
Explore data-driven science and engineering with Steve Brunton. Learn about machine learning, dynamical systems, and control in this 20-hour program.
Learn Taylor and Power Series from Calculus with simple examples and Python/Matlab code in less than an hour with Steve Brunton.
Learn to approximate definite integrals using numerical methods like Riemann and trapezoidal integration with Python and Matlab, in under an hour with Steve Brunton.
Learn to compute second derivatives and differentiate data vectors with Python and Matlab in less than an hour with Steve Brunton.
Learn numerical differentiation and finite difference derivatives in under an hour with Steve Brunton. Explore error analysis with Taylor series and practical coding examples in Matlab and Python.
Learn to solve matrix systems of linear differential equations with Steve Brunton. Understand the Dirac delta function and convolution integral solution in under an hour.
Learn to diagonalize linear differential equations and explore the Jordan Canonical Form in less than an hour with Steve Brunton.
Explore non-normal linear systems and their role in turbulence with Steve Brunton. Learn through examples, Python and Matlab code, in under an hour.
Learn to draw phase portraits and analyze nonlinear systems with Steve Brunton in less than an hour. Understand fixed points, stability, and global nonlinear dynamics.
Explore 2D linear systems of ordinary differential equations with Steve Brunton. Learn about imaginary eigenvalues, neutrally stable center fixed points, and more in under an hour.
Explore 2D linear systems of ordinary differential equations and their applications in energy-efficient transport with Steve Brunton. Less than 1-hour workload.
Explore 2D linear systems of ordinary differential equations with Steve Brunton. Learn about unstable sources, stable sinks, and their solutions using eigenvalues, eigenvectors, and phase portraits.
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