Dead zones
Where we lose
We publish where we lose so you don't have to discover it in production. Cases where a competitor wins, or where every arm fails, are listed first. Each row is scoped to one regime — a specific noise level, or clean.
- DISADVANTAGE
- A baseline wins — Use the winning baseline named on the problem page — not SolvSRK.
- DEAD ZONE
- Everything fails — No solver choice rescues this. Reformulate, shorten the horizon, or change tolerances.
Verdicts summarise a whole problem across the noise ladder. Full definitions →
| Problem | Verdict | σ / scope | Narrative |
|---|---|---|---|
| Arenstorf orbit (under noise) orbital mechanics · 2026-08 | DISADVANTAGE | 0.1 | SolvSRK wins clean precision but collapses to 0% survival at σ=0.1, while the SciPy arms hold 100%. On this periodic three-body orbit SolvSRK is the wrong choice under noise. |
| Lotka–Volterra (under noise) population dynamics · 2026-08 | DISADVANTAGE | 0.1 | SciPy is more precise clean and far more robust noisy — SolvSRK survives just 30% at σ=0.1 versus 100% for SciPy. A clear competitor win. |
| Brusselator, stiff (clean precision) chemistry · 2026-08 | DISADVANTAGE | clean | On clean runs SciPy Radau reaches ~15.5 SCD versus SolvSRK's 12.9. SolvSRK only pulls ahead once noise enters — the clean-precision crown here is Radau's. |
| Van der Pol μ=10⁴ (clean precision) oscillator · 2026-08 | DISADVANTAGE | clean | SciPy Radau leads clean precision (~15.4 vs 12.7 SCD) and both survive noise. There is no SolvSRK advantage to claim on this problem — it is parity at best. |
| Kepler orbit (clean precision) orbital mechanics · 2026-08 | DISADVANTAGE | clean | The high-order explicit Vern9 integrator is more precise than SolvSRK on clean Kepler (~7.5 vs 6.4 SCD). SolvSRK's advantage is confined to the noisy regime. |
| Lorenz attractor (clean precision) chaotic dynamics · 2026-08 | DISADVANTAGE | clean | Chaos caps terminal precision for everyone, and Vern9 edges SolvSRK on clean SCD. Under noise the two are at parity — no exclusive SolvSRK win here. |
| E5 autocatalytic reaction chemistry · 2026-08 | DEAD ZONE | clean + noisy | A stiffness ratio near 10^11 defeats every arm. SolvSRK and all 13 baselines fail the acceptance bar at the catalog horizon — a total dead zone, published alongside the wins. |
TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels
Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology
Self-reported by Resonix Labs · not independently verified · Verification status