No clear winner. The survival gap is under 10 percentage points and the balanced-score gap is under 0.05, so neither SolvSRK nor the best baseline clears the win threshold. Either works — choose on cost, licensing, or integration effort. All verdicts →
10-state system with stiffness ratio ~1e4; integrator boundary stress test
Canonical benchmark implementation
Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.
def _linear_stiff_rhs(t, y, lambdas):
return lambdas * y
def rhs(t, y):
return _linear_stiff_rhs(t, y, _L1E4_LAMBDAS)Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.
Fingerprint
Spread: high
Default noise: none
Recommendation snapshot
Clean best: SolvSRK
Noisy best: SolvSRK
Coverage
14 solver arms · clean + 5 noise levels
Ranked on survival, precision, and speed
20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: Linear stiff system (ratio=1e4) (linear-stiff-system-ratio-1e4)
Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.
Self-reported by Resonix Labs · not independently verified
Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.
Objective
Best overall trade-off of survival, precision, and speed.
Noise level
| # | Solver | Survival | SCD | nfev | Wall | Score |
|---|---|---|---|---|---|---|
| 1 | SolvSRK | 100% | 10.4 | 70,351 | 249 ms | 0.867 |
| 2 | SciPy RadauSciPy | 100% | 5.8 | 3,042 | 33 ms | 0.756 |
| 3 | Tsit5external | 100% | 4.1 | 217,848 | 10.65 s | 0.716 |
| 4 | SciPy DOP853SciPy | 100% | 3.8 | 187,958 | 589 ms | 0.710 |
| 5 | SciPy RK45SciPy | 100% | 3.7 | 211,634 | 752 ms | 0.707 |
| 6 | SciPy LSODASciPy | 100% | 3.7 | 1,205 | 2 ms | 0.707 |
| 7 | SciPy RK23SciPy | 100% | 3.5 | 120,680 | 550 ms | 0.702 |
| 8 | SciPy BDFSciPy | 100% | 3.4 | 967 | 19 ms | 0.700 |
| 9 | CVODE BDFexternal | 100% | 3.4 | 665 | 6 ms | 0.700 |
| 10 | CVODE Adamsexternal | 100% | 3.1 | 3,683 | 17 ms | 0.692 |
At Clean, best balanced arm is SolvSRK.
Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →
SolvScout · free
This page shows one published benchmark cell. SolvScout fingerprints your ODE, compares it to the full corpus, and recommends a solver with the same survival / precision / speed ranking you see here — including when a SciPy arm wins.
SolvSRK · 30-day trial
SolvSRK is the stiffness-adaptive integrator behind the SolvSRK column in these tables. Create an account, activate a machine, and take a 30-day trial — same binary you'd ship after purchase.
Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.
@misc{resonix_evidence_linear_stiff_system_ratio_1e4_2026,
title = {Resonix Evidence Portal: Linear stiff system (ratio=1e4)},
author = {{Resonix Labs (Canada) Inc.}},
year = {2026},
howpublished = {\url{https://resonix.tech/evidence/problems/linear-stiff-system-ratio-1e4}},
note = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}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