NumFocus & SciML, PDEs on Graphs
- Mentors
- Chris Rackauckas, Alex W Jones
- Organization
- NumFOCUS
- Technologies
- python, c/c++, julia, fenics
- Topics
- partial differential equations, numerical methods, dynamical systems
I propose to implement a common interface to deploy the power of SciML to dynamical systems on graphs. In achieving this, one new package will be developed (I refer to it temporarily as ``PDEsOnGraphs.jl'') and two will be contributed to: modernization of FEniCS.jl with integration with FEniCSx/DOLFINx, and implementation of staggered-grid discretizations in MethodOfLines.jl. I propose this work to empower researchers modeling flows - be it water, sewer, natural gas, electricity, traffic, blood, etc. - by utilizing the power of the julia, and specifically the SciML, ecosystem.