Osuke Doijiri

Solver-Robust Spectral Relational Geometry in Nonlinear Partial Differential Equations A computational preprint on coordinate-robust, discretization-robust, and cross-solver geometric structure

We investigate whether nonlinear partial differential equations leave a reproducible geometric structure in thejoint space of spectral observables, rather than a single universal scalar invariant. Five nonlinear systems—Burgers, Allen–Cahn, cubic reaction–diffusion, Kuramoto–Siva...

Energy-Neutral Exact-Local Cascade Control in a Three-Dimensional Spectral Flow Solver

This study introduces the EIDOS Energy-Neutral Exact-Local Cascade (EN-ELC), a numerical spectral-feedback operator designed to alter resolved interscale energy transfer without directly adding net instantaneous kinetic-energy power to the fluid as a whole. The method is implemen...