Van der Pol

Coordinate-wise splitting algorithms for ODE simulation via Koopman-Lie product formulas

arXiv:2506.17524v3 Announce Type: replace Abstract: We present a computational framework for simulating finite-dimensional ordinary differential equations by combining classical Koopman-Lie product formulas with coordinate-wise frozen subflows. The setting is model-known, since the vector field is assumed to be available, and no data-driven approximation of the Koopman operator is attempted. Under standard assumptions, the Koopman-Lie generator associated with the flow admits a coordinate...