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elliptic-pde

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A field theory of coherence: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with existence conditions, spectral viability thresholds and falsifiability criteria. Lean 4 formalization: cd-formalization.

  • Updated Oct 30, 2026
  • Jupyter Notebook

Reproducible JAX benchmark comparing finite-difference solvers, PINNs, DeepONet, and Fourier neural operators on a 1D elliptic PDE: accuracy, distribution shift, resolution transfer, and computational cost.

  • Updated Oct 24, 2026
  • Python

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