Linear stiff system (dim 10)

ADVANTAGES2 · dim 10

SolvSRK 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 →

A dense ten-state linear stiff system from the DETEST benchmark suite. SolvSRK leads clean precision and holds survival under noise where SciPy collapses.

Synthetic & linear-stiff benchmarks

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 _linear_stiff_rhs(t, y, lambdas):
    return lambdas * y

def rhs(t, y):
    return _linear_stiff_rhs(t, y, _L10_LAMBDAS)
Parameters
  • _L10_LAMBDAS = [-1, -10, -100, -1000, -10000, -100000, -1e+06, -1e+07, -1e+08, -1e+09]
Initial condition
y(0) = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
Horizon
t ∈ [0, 10]

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: clean

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: Linear stiff system (dim 10) (linear_10)

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%
9.8119,000417 ms0.854
2CVODE Adamsexternal
100%
7.586,114619 ms0.798
3SciPy RadauSciPy
100%
5.85,149101 ms0.756
4SciPy LSODASciPy
100%
4.72,3937 ms0.732
5CVODE BDFexternal
100%
3.61,08716 ms0.704
6SciPy BDFSciPy
100%
3.31,65959 ms0.698
SciPy RK45SciPy
0%
SciPy DOP853SciPy
0%
SciPy RK23SciPy
0%
Tsit5external
0%

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

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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

Run the winner on your machine

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.

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_linear_10_2026,
  title        = {Resonix Evidence Portal: Linear stiff system (dim 10)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/linear_10}},
  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