Rudresh's Notes

Math, simulation, and systems notes written as a working notebook.

Notes

  1. 2 min read

    Annulus Point Vortex Dynamics

    Analytical derivation and experimental verification of point vortex dynamics on a planer Annulus.

  2. 2 min read

    Velocity Averaging and Mean Value Property

    An explanation on why the naive averaging of velocity works for point vortex simulation on a discrete triangle mesh.

  3. 2 min read

    Laplacian on closed surface

    Spectrum of Laplacian, Compatibility and Uniqueness of Poisson Problem

  4. 3 min read

    Regularized Point Vortex Dynamics

    Discretization of regularized point vortex dynamics

  5. 4 min read

    Elemetry Analysis

    My understanding of the Real Analysis

  6. 4 min read

    Piecewise Constant Velocity Advection

    Piecewise Constant Velocity Advection

  7. 1 min read

    Hamiltonian Formulation for Point Vortex Dynamics

    hamiltonian

  8. 9 min read

    Anti-Procrastination Workflow

    Integration of Jira, Super Productivity and Astro.js webapp to create a custom task management workflow

  9. 3 min read

    Weak Formulation for PDEs

    Weak formulation of PDEs and why?

  10. 3 min read

    Calculus of Variations

    A quick and dirty introduction to calculus of variations