Plasma Physics

• Tokamaks 🍩

• Stellarators 🐍

• MHD Equilibrium 🪨

  • Grad-Shafranov Derivation

• MHD Stability 🤹‍♂️

  • Tearing Modes (Classical) 🔥

  • Tearing Modes (Neoclassical) 💥

  • Kink Modes (Internal) 🌭

  • Ballooning Modes 🎈

  • Interchange Modes 💱

• Two-Fluid Equilibrium (FLOW2) ✌️

• Two-Fluid Stability (Upcoming code?) 🧐

• Stochastic Magnetic Fields 🍝

• Hamiltonian Action Principles 🐷

• Plasma Kinetic Theory

  • Landau Damping 🦥

  • Plasma Wave Echoes 🗣️

  • Plasma Memory Effects 🧠

• Soliton Wave Theory 🫨

• Fluid Closures 🌊

  • Asymptotic Schemes 🤏

    • Chapman-Enskog Procedure ⚙️

  • Truncation Schemes 🪓

• Collisions 🤜🤛

• Boltzmann's Stosszahlansatz 😶‍🌫️

• Dust Acoustic Waves ⌛

Mathematics

• Asymptotics & Perturbation Theory ❤️

• Some Notes on Linear Systems of ODEs

• Tensor Algebra ➕

• Tensor Calculus ⛰️

  • Applications of Tensors to Physics

  • Symbolic Computation of Christoffel Symbols in Julia

• Zermelo–Fraenkel (ZFC) Set Theory

• Propositional Logic

• Differential Geometry 🫠

  • Differential Forms

  • Notes from Frankel's "The Geometry of Physics"

  • Notes from Schuller's "Geometrical Anatomy of Theoretical Physics"

  • Notes from Loring Tu's "An Introduction to Manifolds"

  • Topological Fluid Dynamics

• Stochastic Processes 🎲

• Floquet Theory 🪀

• Arnold Tongues 😜

• Miscellaneous Tricks

• Lie Groups & Lie Algebras

• Complex Analysis

• Green's Functions

• Spinors

Basic Numerical Methods

• Root-finding 🌱

• Definite & Improper Integrals 🪣

• Ace Numerical Methods Exams with These Tricks

Parallel & High-Performance Computing

• Practical HPC, Architectures, Workflows

• Parallel Programming with OpenMP

• Parallel Programming with MPI

• GPU Computing & Accelerators

• Surrogtate Modeling & Bayesian Optimzation

• Floating Point Arithmetic

• Machine Learning & Deep Learning

• Open Sourcing

• The Julia Programming Language

• Why Rust Is Really Cool