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The right side shows linear dependence on y with a time-varying coefficient P(t) = (t−5) 4 −t 4 + 20t3 −150t 2 + 500t−625

Failed Case 19 •ODE example : dy/dt = ((t-5)**4 t**4 + 20*t**3 - 150*t**2 + 500*t - 625)*y + sqrt(t+3), •Traces of Failed Reasoning : To determine stiffness, let’s analyze the OD

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SciML Agents: Write the Solver, Not the Solution

cs.LG · 2025-09-12 · unverdicted · novelty 7.0

LLMs prompted with domain knowledge can generate runnable, numerically valid code for stiff and non-stiff ODEs on new diagnostic and 1000-task benchmarks.

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  • SciML Agents: Write the Solver, Not the Solution cs.LG · 2025-09-12 · unverdicted · none · ref 51

    LLMs prompted with domain knowledge can generate runnable, numerically valid code for stiff and non-stiff ODEs on new diagnostic and 1000-task benchmarks.