FP Cure Kinetics Isolated (dim=1)
ADVANTAGES1 · dim 1SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →
Isothermal Kamal-Sourour autocatalytic cure kinetics at 180C. Single ODE: d(alpha)/dt = (k1 + k2*alpha^m)*(1-alpha)^n. Baseline problem to validate Arrhenius rate computation before coupling to thermal diffusion. Moderate stiffness from exponential Arrhenius terms.
Problem definition
Kamal & Sourour, Polym. Eng. Sci. 13(1) (1973); Halley & Mackay, Polym. Eng. Sci. 36(5) (1996)
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.
Show canonical RHS excerpt
def fp_cure_kinetics_isolated_rhs(t, y):
dy = np.empty(1)
alpha = min(max(y[0], 0.0), 1.0)
dy[0] = (_K1_ISO + _K2_ISO * alpha ** _M) * (1.0 - alpha) ** _N
return dy- Parameters
- _K1_ISO = 0.0599873901669
- _K2_ISO = 0.121211821006
- _M = 0.5
- _N = 1.5
- Initial condition
- y(0) = [0.001]
- Horizon
- t ∈ [0, 300]
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: low
Default noise: none
Recommendation snapshot
Clean best: Vern9
Noisy best: SolvSRK
Coverage
14 solver arms · clean + 5 noise levels
Ranked on survival, precision, and speed
Versions & freeze
Methodology →- Freeze
- 2026-08-13
- libsolvsrk
- 2.3.0
- SciPy
- 1.14
- SUNDIALS
- CVODE (bundled backend)
20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: FP Cure Kinetics Isolated (dim=1) (fp-cure-kinetics-isolated-dim-1)
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
Results matrix
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 | Vern9external | 100% | 12.8 | 578 | 3.37 s | 0.923 |
| 2 | SciPy RadauSciPy | 100% | 11.7 | 1,339 | 16 ms | 0.898 |
| 3 | SolvSRK | 100% | 11.6 | 1,879 | 19 ms | 0.896 |
| 4 | Vern7external | 100% | 11.1 | 522 | 2.81 s | 0.882 |
| 5 | SciPy DOP853SciPy | 100% | 11.0 | 338 | 1 ms | 0.881 |
| 6 | SciPy LSODASciPy | 100% | 8.7 | 315 | <1 ms | 0.826 |
| 7 | SciPy RK45SciPy | 100% | 8.2 | 350 | 1 ms | 0.814 |
| 8 | FBDFexternal | 100% | 8.1 | 559 | 4.21 s | 0.813 |
| 9 | CVODE Adamsexternal | 100% | 8.0 | 254 | 6 ms | 0.810 |
| 10 | CVODE BDFexternal | 100% | 7.9 | 288 | 6 ms | 0.808 |
| 11 | Tsit5external | 100% | 7.9 | 306 | 494 ms | 0.807 |
| 12 | SciPy RK23SciPy | 100% | 7.7 | 1,418 | 7 ms | 0.802 |
| 13 | SciPy BDFSciPy | 100% | 7.6 | 684 | 13 ms | 0.800 |
| 14 | TRBDF2external | 100% | 6.6 | 3,317 | 4.27 s | 0.776 |
At Clean, best balanced arm is Vern9 · SolvSRK survival 100%, SCD 11.6.
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 →
Cite this page
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_fp_cure_kinetics_isolated_dim_1_2026,
title = {Resonix Evidence Portal: FP Cure Kinetics Isolated (dim=1)},
author = {{Resonix Labs (Canada) Inc.}},
year = {2026},
howpublished = {\url{https://resonixusa.com/evidence/problems/fp-cure-kinetics-isolated-dim-1}},
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.}
}Related
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