Tutorials
Every notebook lives in the MORFEExamples repository.
From a mesh to a ROM
Compute the backbone curve of the first bending mode of a clamped beam with geometric nonlinearity.
Dual-axis MEMS micromirror
Choose the clamp and the master mode of a micromirror's mesh, then compute how its frequency changes with the tilt of the mirror.
Kármán vortex street
Reduce the Navier–Stokes equations to understand how increasing the Reynolds number creates vortex shedding past a cylinder.
Building a full-order model
MORFE's full-order models have 3 components: the matrices of the linear terms, the nonlinear terms, and (optionally) a external system.
Symbolic full-order model
Write the model as an ODE instead of assembling B-matrices and MultilinearMaps by hand. Covers model_from_symbolics, externalsystem_from_symbolics, and a DifferentialEquations.jl-style interface.
Monomials and multiindices
Which monomials does the solve compute? Build the set yourself — generators, anisotropic truncation, deletion, and a spectral bound on the superharmonics — with an interactive lattice at every step.
Every tutorial ships with everything needed to run it: the mesh and the MORFE code.
For anything to do with installing or running Julia itself, see the Julia documentation.