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numerical-integration

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Select and configure time integration methods for ODE/PDE simulations. Use when choosing explicit/implicit schemes, setting error tolerances, adapting time steps, diagnosing integration accuracy, planning IMEX splitting, or handling stiff/non-stiff coupled systems.

When to use

• choosing explicit/implicit schemes
• setting error tolerances
• adapting time steps
• diagnosing integration accuracy
• planning IMEX splitting
• handling stiff/non-stiff coupled systems

When not to use

• **No automatic stiffness detection**: Use stiffness_detector from numerical-stability
• **Splitting assumes separability**: Terms must be cleanly separable
• **Jacobian requirement**: Some methods need analytical or numerical Jacobian

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