Ordinary Differential Equations
A guide to using ODE models in inference, including solver choices, stiffness, tolerances, parameter estimation and adjoint methods.
External resource. No execution or independent verification is claimed here.
How much do inferred parameters shift as ODE tolerances are tightened for a harmonic oscillator with synthetic observations?
The evaluator uses the analytic oscillator solution to assess forward error and independently examines inference diagnostics; the Stan runtime requires separate qualification.
What you could produce
- A versioned minimal protocol, evaluator-owned test cases, and a comparison report with numerical/statistical uncertainty and failures.
Before you use it
- A separately qualified Stan runtime and compatible compiled toolchain; no Stan environment is available in the current pilot
Limits to keep in view
- No upstream example, source package, build hook or submitted code was executed.
- The current qualified pilot accepts only self-contained Python 3.13 with a 90-second deadline. This reference's package/runtime is not qualified for that path.
- The proposed protocol requires bounded resource estimates and an independently controlled evaluator before any scientific execution claim.
Source and permission context
Stan User's Guide / Stan Development Team. Ordinary Differential Equations. https://raw.githubusercontent.com/stan-dev/docs/1bc688a6f9a6c6931b7527c333345d2dcf6ee0bb/src/stan-users-guide/odes.qmd; observed version 1bc688a6f9a6c6931b7527c333345d2dcf6ee0bb.
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Reviewed 2026-09-14. Copying or adapting source files remains subject to their own terms.
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