16 citations · 59 across the 6 of their papers we have counts for
6 papers
Decapodes: A Diagrammatic Tool for Representing, Composing, and Computing Spatialized Partial Differential Equations
Luke Morris, Andrew Baas, Jesus Arias +3
We present Decapodes, a diagrammatic tool for representing, composing, and solving partial differential equations. Decapodes provides an intuitive diagrammatic representation of th…
A diagrammatic view of differential equations in physics
Evan Patterson, Andrew Baas, Timothy Hosgood +1
Presenting systems of differential equations in the form of diagrams has become common in certain parts of physics, especially electromagnetism and computational physics. In this w…
An Algebraic Framework for Structured Epidemic Modeling
Sophie Libkind, Andrew Baas, Micah Halter +2
Pandemic management requires that scientists rapidly formulate and analyze epidemiological models in order to forecast the spread of disease and the effects of mitigation strategie…
Operadic Modeling of Dynamical Systems: Mathematics and Computation
Sophie Libkind, Andrew Baas, Evan Patterson +1
Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structur…
Curvature Invariants for the Alcubierre and Natário Warp Drives
Brandon Mattingly, Abinash Kar, Matthew Gorban +9
A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natario warp drives at a constant velocity.Curvature invariants are independe…
Compositional Scientific Computing with Catlab and SemanticModels
Micah Halter, Evan Patterson, Andrew Baas +1
Scientific computing is currently performed by writing domain specific modeling frameworks for solving special classes of mathematical problems. Since applied category theory provi…