Flash-heat transient

PARITYS2 · dim 50

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 →

Short-pulse heat deposition in thin film; rapid thermal transient

Thermal & heat transfer

Problem definition

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.

Show canonical RHS excerpt
def rhs(t: float, temp: np.ndarray) -> np.ndarray:
    d = np.zeros(n_nodes)
    for i in range(n_nodes):
        t_left = 300.0 if i == 0 else temp[i - 1]
        t_right = 300.0 if i == n_nodes - 1 else temp[i + 1]
        d[i] = alpha * (t_left - 2.0 * temp[i] + t_right) / dx2
    return d
Parameters
  • alpha = 3e-07
  • dx2 = 3.84468e-10
  • n_nodes = 50
Initial condition
y(0) = [310, 300, 300, 300, 300, 300, …] [shape=(50,), min=300, max=310]
Horizon
t ∈ [0, 2]

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

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: Flash-heat transient (flash-heat-transient)

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

#SolverSurvivalSCDnfevWallScore
1SolvSRK
100%
12.01,40147 ms0.904
2SciPy RadauSciPy
100%
10.160416 ms0.860
3SciPy DOP853SciPy
100%
9.811,834313 ms0.853
4CVODE BDFexternal
100%
8.941018 ms0.832
5CVODE Adamsexternal
100%
8.673128 ms0.825
6SciPy RK45SciPy
100%
8.613,286211 ms0.824
7SciPy BDFSciPy
100%
8.537919 ms0.822
8SciPy LSODASciPy
100%
8.51,17217 ms0.822
9Tsit5external
100%
8.113,6442.07 s0.812
10SciPy RK23SciPy
100%
7.87,661223 ms0.804

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 →

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SolvSRK · 30-day trial

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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_flash_heat_transient_2026,
  title        = {Resonix Evidence Portal: Flash-heat transient},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/flash-heat-transient}},
  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