Steve Brunton

Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations

Underdetermined systems and compressed sensing [Python]

The Spectrogram and the Gabor Transform

Complex Analysis L07: Analytic Functions Solve Laplace's Equation

Supervised & Unsupervised Machine Learning

Complex Analysis L09: Complex Residues

Eigenvalues and Eigenvectors

Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model

Computing Derivatives with FFT [Python]

Potential Flow Part 2: Details and Examples

ME565 Lecture 18: FFT and Image Compression

The Curl of a Vector Field: Measuring Rotation

Linear Regression

New Book!!! Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control

[4/8] Control for Societal-Scale Challenges: Road Map 2030 [Emerging Methodologies]

Complex analysis 101: imaginary numbers are real!

Control Bootcamp: Introduction to Robust Control

Engineering Math Pre-Req: Quick and Dirty Introduction to Python

[8/8] Control for Societal-Scale Challenges: Road Map 2030 [Recommendations]

Control Theory and COVID-19: Models

Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations

Machine Learning for Computational Fluid Dynamics

ME564 Lecture 27: Potential flow, stream functions, and examples

Complex Analysis L08: Integrals in the Complex Plane

Coding a Fourth-Order Runge-Kutta Integrator in Python and Matlab

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]

Complex Analysis L13: Bromwich Integrals and the Inverse Laplace Transform

Deriving Forward Euler and Backward/Implicit Euler Integration Schemes for Differential Equations

Image Compression and the FFT (Examples in Python)

Solving PDEs with the Laplace Transform: The Heat Equation

🤯🤯🤯 Integrating GPT-4 into Collimator.ai for Symbolic Modeling and Control** 🔥🔥🔥

Chaotic Dynamical Systems

Neural Network Architectures & Deep Learning

A Neural Network Primer

The Discrete Fourier Transform (DFT)

AI/ML+Physics Part 1: Choosing what to model [Physics Informed Machine Learning]

Physics Informed Machine Learning: High Level Overview of AI and ML in Science and Engineering

Engineering Math Pre-Req: Quick and Dirty Introduction to Matlab

Moore's Law, exponential growth, and extrapolation!

Numerical Integration of Chaotic Dynamics: Uncertainty Propagation & Vectorized Integration

Complex Analysis L01: Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates

Complex Analysis L05: Roots of Unity and Rational Powers of z

Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

[2/8] Control for Societal-Scale Challenges: Road Map 2030 [Societal Drivers]

Control Bootcamp: Kalman Filter Example in Matlab

Collimator 2.0 and Quanser!!!

Control Bootcamp: LQG Example in Matlab

Stability and Eigenvalues: What does it mean to be a "stable" eigenvalue?

Intro to Data Science: The Nature of Data

[7/8] Control for Societal-Scale Challenges: Road Map 2030 [Ethics, Fairness, & Regulatory Issues]

Intro to Data Science: Answering Questions with Data