Research profile
Steve Brunton
Author of work recommended on this site.
- 10
- on the reading lists
Why people read this work
On the reading lists
What this site's guides and courses recommend by Steve Brunton, and why. Each opens its Library entry.
- A good place to startVideoNonlinear Control: Hamilton Jacobi Bellman (HJB) and Dynamic Programming
Dynamic programming and the Hamilton–Jacobi–Bellman equation of optimal control.
Recommended in Guidebook 6C.9: Hamilton–Jacobi Equations and Viscosity Solutions · Guidebook 6D.8: Stochastic Control and the HJB Equation
- VideoSolving the Wave Equation with Separation of Variables… and Guitar String Physics
Standing waves, modes and the physics of a guitar string.
Recommended in Guidebook 6B.3: The Wave Equation · Guidebook 6B.14: Hyperbolic Equations and Systems
- VideoComplex Analysis L06: Analytic Functions and Cauchy-Riemann Conditions
The Cauchy–Riemann equations, and the derivative as a rotation and a scaling.
Recommended in Guidebook 5A.1: Holomorphic Functions Are Conformal
- VideoComplex Analysis L07: Analytic Functions Solve Laplace’s Equation
Why the real and imaginary parts of an analytic function are harmonic, with flow examples.
Recommended in Guidebook 5A.4: Harmonic Functions and Conformal Mapping
- VideoDeriving the Heat Equation: A Parabolic PDE for Heat Energy Conservation
The heat equation derived from conservation of energy and Fourier’s law.
Recommended in Guidebook 6A.3: The Heat Equation on ℝⁿ
- VideoDeriving the Wave Equation
The wave equation derived from a vibrating string.
Recommended in Guidebook 6B.3: The Wave Equation
- VideoPartial Differential Equations Overview
The main PDEs, their types and where they come from.
Recommended in Guidebook 6A.1: What a PDE Is
- VideoPDE 101: Separation of Variables! …or how I learned to stop worrying and solve Laplace’s equation
Separation of variables for Laplace’s equation, start to finish.
Recommended in Guidebook 6B.4: Green’s Functions, Separation of Variables and Transforms
- VideoSolving the Heat Equation with the Fourier Transform
The heat kernel on the line found with the Fourier transform.
Recommended in Guidebook 6A.3: The Heat Equation on ℝⁿ
- VideoTopics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
An overview of linearisation at fixed points and bifurcations, the finite-dimensional picture behind bifurcation theory.
Recommended in Guidebook 4A.3: Calculus and Fixed Points in Banach Spaces
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NP-RC-893294 is Steve Brunton's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.