Programmes
Quatre-vingt-cinq programmes, huit dépôts
Le code source de la recherche : chaque programme est documenté et relié aux articles qu’il illustre.
KO-6 Spectral Solver — Solveur spectral pour triplets spectraux finis de KO-dimension 6, splitting de Strang, benchmarks Taylor–Green, KdV, Ising 2D. github.com/PORTEMANN/ko6-spectral-solver ↗
ising program
Benchmark B3: 2D Ising model (phase transition). Verifies: - Landau formalism of phase transitions Pass criterion: - Numerical Tc within ±2% of exact value (Tc_exact = 2 / ln(1+sqrt(2)) ≈ 2.269)
kdv program
Benchmark B2: Sine–Gordon / KdV soliton. Verifies: - Term M F(X): stable localised structures Pass criterion: - Soliton propagated without distortion (< 1%) over 10^4 steps
taylor_green program
Benchmark B1: Taylor–Green vortex (2D, damped analytic solution). Verifies: - Diffusion term L (viscosity) - Conservation properties Pass criterion: - L2 error < 1e-4 at reference resolution
Analyse, Modélisation et Gestion des Systèmes Complexe… ↗ Fondements de la Théorie des Champs Topologiques Conti… ↗
solver program
Core spectral solver for finite spectral triples of KO-dimension 6. Implements Strang splitting for the update iteration: X_{t+1} = X_t + eta (L X_t + M F(X_t) + D(S)) where: - L : symmetric negative-definite (dissipative) - M : antisymmetric (conservative) - F : nonlinear term …
Analyse, Modélisation et Gestion des Systèmes Complexe… ↗ Analyse, Modélisation et Gestion des Systèmes Complexe… ↗
test_solver test
Unit tests for the KO-6 spectral solver. Run: pytest tests/
Analyse, Modélisation et Gestion des Systèmes Complexe… ↗ Analyse, Modélisation et Gestion des Systèmes Complexe… ↗