By name: mathematical-modeling description: Creating mathematical representations license: MIT compatibility: opencode metadata: audience: scientists category: mathematics
What I do
- Translate real-world problems into mathematical models
- Apply differential equations for dynamic systems
- Use statistical models for data analysis
- Optimize using linear and nonlinear programming
- Validate and calibrate models with data
- Analyze model sensitivity and uncertainty
When to use me
When predicting system behavior, optimizing processes, or understanding complex phenomena.
Key Concepts
- Differential Equations: Model continuous change over time
- Linear Programming: Maximize/minimize linear objective with constraints
- Statistical Models: Regression, ANOVA, time series
- Sensitivity Analysis: How output changes with input variations
- Dimensionless Numbers: Buckingham Pi theorem for scaling
- Model Validation: Compare predictions to observed data