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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 data-driven science and engineering with Steve Brunton. Learn about machine learning, dynamical systems, and control in this 20-hour program.
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 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.
Learn Taylor and Power Series from Calculus with simple examples and Python/Matlab code in less than an hour with Steve Brunton.
Learn to solve the Wave Equation using separation of variables in less than an hour with Steve Brunton. The material uses guitar string physics for intuitive understanding.
Learn to derive the Wave Equation, a powerful tool in physics and engineering, with Steve Brunton in under an hour. Includes practical examples from guitar strings.
Learn to solve Partial Differential Equations using the Separation of Variables technique in less than an hour with Steve Brunton. Ideal for physics and engineering problems.
Learn the fundamentals of vector calculus, specifically the curl operator, with Steve Brunton in under an hour. Gain insights into fluid vorticity and rotation measurement.
Learn to develop nonlinear models for complex fluid flows using the SINDy algorithm with Steve Brunton. Explore innovations in various flow fields in under an hour.
Learn fluid dynamics, focusing on Lagrangian coherent structures and Finite Time Lyapunov Exponents, in less than an hour with Steve Brunton.
Learn to choose effective terms for the SINDy algorithm, extend it to include control variables and bifurcation parameters, and avoid the curse of dimensionality in under an hour with Steve Brunton.
Learn the intersection of machine learning and control theory with reinforcement learning in less than an hour with Steve Brunton. Explore algorithms and applications.
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.
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