numerical-integration

What problem does it solve?

This Skill helps you select time integration methods, set tolerances, and manage adaptive stepping for ODE/PDE simulations, handling stiffness, explicit/implicit splitting, and error control to keep simulations accurate and efficient.

Core Features & Use Cases

• Integrator selector: Choose RK, implicit multistep, or IMEX schemes based on stiffness and accuracy needs.
• Error control: Configure adaptive step size using error norms and controllers.
• IMEX planning: Plan splitting strategies for mixed stiff/non-stiff terms.
• Use Case: For a stiff reaction-diffusion system, select SBDF2 with an implicit diffusion term and explicit reaction term.

Quick Start

Example commands: python3 scripts/integrator_selector.py --stiff --jacobian-available --accuracy high --json python3 scripts/adaptive_step_controller.py --dt 1e-3 --error-norm 0.8 --order 4 --json