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
- Stiffness Assessment: Determine if problem is stiff
- Method Selection: Choose explicit or implicit methods accordingly
- Tolerance Setting: Set appropriate error tolerances
- Event Handling: Configure event detection for discontinuities
Tools/Libraries
- SUNDIALS
- scipy.integrate
- DifferentialEquations.jl