
Advances in High-Order Predictive Modeling
Methodologies and Illustrative Problems
- 424 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Advances in High-Order Predictive Modeling
Methodologies and Illustrative Problems
About this book
Continuing the author's previous work on modeling, this book presents the most recent advances in high-order predictive modeling. The author begins with the mathematical framework of the 2nd-BERRU-PM methodology, an acronym that designates the "second-order best-estimate with reduced uncertainties (2nd-BERRU) predictive modeling (PM)." The 2nd-BERRU-PM methodology is fundamentally anchored in physics-based principles stemming from thermodynamics (maximum entropy principle) and information theory, being formulated in the most inclusive possible phase-space, namely the combined phase-space of computed and measured parameters and responses.
The 2nd-BERRU-PM methodology provides second-order output (means and variances) but can incorporate, as input, arbitrarily high-order sensitivities of responses with respect to model parameters, as well as arbitrarily high-order moments of the initial distribution of uncertain model parameters, in order to predict best-estimate mean values for the model responses (i.e., results of interest) and calibrated model parameters, along with reduced predicted variances and covariances for these predicted responses and parameters.
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Table of contents
- Cover
- Half Title
- Series
- Title
- Copyright
- Contents
- Preface
- About the Author
- Chapter 1 2nd-BERRU-PM: 2nd-Order Maximum Entropy Predictive Modeling Methodology for Reducing Uncertainties in Predicted Model Responses and Parameters
- Chapter 2 Application of the 2nd-BERRU-PM Methodology to the PERP Reactor Physics Benchmark
- Chapter 3 A Novel Generic 4th-Order Moment-Constrained Maximum Entropy Distribution
- Chapter 4 4th-BERRU-PM: 4th-Order Maxent Predictive Modeling Methodology for Combining Measurements with Computations to Obtain Best-Estimate Results with Reduced Predicted Uncertainties
- Chapter 5 Application of the 4th-BERRU-PM Methodology to the PERP Reactor Physics Benchmark
- Chapter 6 4th-Order Comprehensive Adjoint Sensitivity Analysis Methodology: Mathematical Framework
- Chapter 7 Polyethylene Reflected Plutonium (PERP) Reactor Physics Benchmark: Sensitivities of the Leakage Response to Total Cross-Sections
- References
- Index