Next:
3.1 Overview of the
Up:
Uncertainty Analysis of...
Previous:
2.6 Need for Alternative
3. THE STOCHASTIC RESPONSE SURFACE METHOD: DEVELOPMENT AND IMPLEMENTATION
3.1 Overview of the Method
3.2 Step I: Representation of Stochastic Inputs
3.2.1 Direct Transformations
3.2.2 Transformation via Series Approximation
3.2.3 Transformation of Empirical Distributions
3.2.4 Transformation of Correlated Inputs
3.2.4.1 Specific Example: The Dirichlet Distribution
3.3 Step II: Functional Approximation of Outputs
3.4 Step III: Estimation of Parameters in the Functional Approximation
3.4.1 Deterministic Equivalent Modeling Method/Probabilistic Collocation Method (DEMM/PCM)
3.4.1.1 Limitations of DEMM/PCM
3.4.2 Efficient Collocation Method (ECM)
3.4.2.1 Applicability and Limitations of ECM
3.4.3 Regression Based SRSM
3.5 Step IV: Estimation of the Statistics of the Output Metrics
3.6 Step V: Evaluation of Convergence, Accuracy and Efficiency of Approximation
3.7 An Illustration of the Application of the SRSM
3.8 Computational Implementation
3.8.1 Implementation of the Conventional Uncertainty Propagation Methods
3.8.2 Implementation of the Stochastic Response Surface Method
3.9 Implementation of a Web Interface to the SRSM
Sastry S. Isukapalli
1999-01-19
