Partial Differential Equations (PDEs)

Solving partial differential equations (PDEs) using https://github.com/SciML/MethodOfLines.jl, a finite difference method (FDM).

Other PDE packages¶

• https://github.com/Ferrite-FEM/Ferrite.jl (Finite Element method)

• https://github.com/gridap/Gridap.jl and its tutorials

• https://github.com/trixi-framework/Trixi.jl

• https://github.com/WaterLily-jl/WaterLily.jl for fluid dynamics.

PDE courses¶

• Solving partial differential equations in parallel on GPUs

UDEs¶

Universal Differential Equations (UDEs) are hybrids of differential equations and neural networks.

• https://github.com/SciML/DiffEqFlux.jl : fusing differential equations (DifferentialEquations.jl) and neural networks (Lux.jl).

• https://github.com/SciML/NeuralPDE.jl : physics-Informed Neural Networks (PINN) Solvers, learning and building the equations from the ground up. NeuralPDE.jl is slower than DiffEqFlux.jl.