Spectral representation of stochastic field data using sparse polynomial chaos expansions

Mathematics

• Sparse Polynomials 100%
• Chaos Expansion 97%
• Polynomial Chaos 94%
• Spectral Representation 89%
• Uncertainty Quantification 48%
• High-dimensional 19%
• Systems Engineering 16%
• Proper Orthogonal Decomposition 16%
• Model Reduction 14%
• Computational Cost 12%
• Predict 11%
• Profile 10%
• Uncertainty 10%
• Output 9%
• Discretization 8%
• Methodology 8%
• Costs 8%
• Demonstrate 7%

Physics & Astronomy

• chaos 66%
• polynomials 64%
• expansion 45%
• costs 18%
• flight conditions 17%
• charge flow devices 13%
• systems engineering 13%
• budgets 13%
• emerging 10%
• methodology 9%
• decomposition 9%
• output 7%
• profiles 6%

Engineering & Materials Science

• Chaos theory 73%
• Polynomials 55%
• Uncertainty 30%
• Systems engineering 11%
• Costs 9%
• Computational fluid dynamics 9%
• Decomposition 8%