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