SciML / MethodOfLines.jl

Automatic Finite Difference PDE solving with Julia SciML
https://docs.sciml.ai/MethodOfLines/stable/
MIT License
164 stars 31 forks source link

Jet Bundle Power Series Discretization #299

Open ChrisRackauckas opened 1 year ago

ChrisRackauckas commented 1 year ago

https://www.sciencedirect.com/science/article/pii/S0747717108801460?via%3Dihub https://arxiv.org/pdf/math/0106090.pdf

xtalax commented 1 year ago

Ok, I get it. We check that it is / make the system involute, solve with FD/FV, then get the derivs/mixed derivs numerically and use them to expand the power series about each point, can possibly reduce the number of points needed for an accurate solution. I will be thinking about this.