Operator Calculus, Co.

An Oakfield practice

Oakfield Mathematics

Mathematical models, numerical methods & computational instruments.

Oakfield Mathematics is David Kirby’s modeling practice. Its work connects a mathematical question to calculations, visualizations, and tools that someone can inspect and use.

Discuss a model Explore Oakfield Studio
Boys’s mechanical integrating machine, with wheels and a suspended weight.
Boys’s integrating machine, 1881. A historical instrument from the archive. Scientific American Supplement, 1881. Source

Models & calculations

  • Financial modeling: private-company equity, option exercise, liquidity, and comparisons between alternative paths under stated assumptions.
  • Mathematical computing: symbolic and numerical work in Mathematica, numerical methods, and implementations in C.
  • Signals & systems: digital signal processing, simulation, and the behavior of systems over time.

Oakfield Studio

Oakfield Studio in a light theme with an Airy-beam Lua script, a multicolored field, stimulus controls, and diagnostics.

An Airy-beam experiment, with its script, field display, stimulus controls, and diagnostics.

Oakfield Studio is a mathematical simulation environment for macOS. Compose operators, evolve fields, and explore simulations through Lua and live visual instruments.

The Studio documentation brings together the principles, architecture, mathematics, and Lua reference. Start with the guides or work through a simulation example below.

Studio documentation

Working together

Discuss a model, a set of assumptions, or a question that needs a calculation.

Tell David what you’re working on, the help you need, and any relevant timing or constraints.

Start a conversation kirby@ooc.run