Partial / unstable. SolvSRK survives more than 0% but less than 90% of runs at the comparison noise level, without being beaten by a baseline there. Usable with margin and monitoring; validate on your own configuration. All verdicts →
Same model as swe_tlm_channel_t21 at production resolution: periodic-xy 48x36 beta-plane torus. Williamson 1992 Test 5 surrogate for T63 (Lane 3 verdict GREEN; spread <= 99). 1-hour 4D-Var window.
Williamson 1992 J.Comp.Phys. 102:211; Pedlosky 1987 GFD ch.3; Vallis 2017 AOFD ch.3; Courtier et al. 1994 ECMWF Tech Memo 192 (4D-Var assimilation window)
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 rhs(t: float, y: np.ndarray) -> np.ndarray:
return A_csr @ y + b_arrCanonical 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: SciPy RK45
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: Shallow-water TLM, beta-plane periodic-xy 48x36 (T63-equivalent) (shallow-water-tlm-beta-plane-periodic-xy-48x36-t63-equivalent)
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 | SciPy RK45SciPy | 100% | — | 86 | 27 ms | 0.809 |
| 2 | SciPy LSODASciPy | 100% | — | 101 | 38 ms | 0.809 |
| 3 | SciPy DOP853SciPy | 100% | — | 98 | 32 ms | 0.809 |
| 4 | SciPy RK23SciPy | 100% | — | 119 | 40 ms | 0.809 |
| 5 | Tsit5external | 100% | — | 102 | 1.34 s | 0.809 |
| 6 | Vern7external | 100% | — | 142 | 5.25 s | 0.809 |
| 7 | Vern9external | 100% | — | 210 | 5.69 s | 0.809 |
| 8 | SolvSRK | 100% | — | 21,637 | 5.70 s | 0.809 |
| — | SciPy BDFSciPy | 0% | — | — | — | — |
| — | SciPy RadauSciPy | 0% | — | — | — | — |
| — | CVODE BDFexternal | 0% | — | — | — | — |
| — | CVODE Adamsexternal | 0% | — | — | — | — |
| — | TRBDF2external | 0% | — | — | — | — |
| — | FBDFexternal | 0% | — | — | — | — |
At Clean, best balanced arm is SciPy RK45 · SolvSRK survival 100%.
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_shallow_water_tlm_beta_plane_periodic_xy_48x36_t63_equivalent_2026,
title = {Resonix Evidence Portal: Shallow-water TLM, beta-plane periodic-xy 48x36 (T63-equivalent)},
author = {{Resonix Labs (Canada) Inc.}},
year = {2026},
howpublished = {\url{https://resonix.tech/evidence/problems/shallow-water-tlm-beta-plane-periodic-xy-48x36-t63-equivalent}},
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