Polynomial Chaos Expansion Purpose Provides polynomial chaos expansion methods for efficient uncertainty propagation in computational models. Capabilities - Generalized polynomial chaos bases - Sparse PCE construction - Adaptive basis selection - PCE-based sensitivity indices - Low-rank tensor approximation - Stochastic Galerkin projection Usage Guidelines 1. Basis Selection : Match basis to input distributions 2. Truncation : Choose appropriate polynomial order 3. Sparsity : Exploit sparsity for high dimensions 4. Sensitivity : Extract Sobol indices from PCE coefficients Tools/Libraries - Ch…