Agent skill

ode-solver-library

Numerical methods for ordinary differential equations

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npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/ode-solver-library

Metadata

Additional technical details for this skill

phase
6
domain
science
category
numerical-analysis
specialization
mathematics

SKILL.md

ODE Solver Library

Purpose

Provides numerical methods and solvers for ordinary differential equations in mathematical modeling and dynamical systems analysis.

Capabilities

  • Runge-Kutta methods (explicit and implicit)
  • Multistep methods (Adams-Bashforth, BDF)
  • Stiff equation handling
  • Adaptive step size control
  • Event detection and root finding
  • Sensitivity analysis

Usage Guidelines

  1. Stiffness Assessment: Determine if problem is stiff
  2. Method Selection: Choose explicit or implicit methods accordingly
  3. Tolerance Setting: Set appropriate error tolerances
  4. Event Handling: Configure event detection for discontinuities

Tools/Libraries

  • SUNDIALS
  • scipy.integrate
  • DifferentialEquations.jl

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