The Second-Order Adjoint Sensitivity Analysis Methodology /
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| Corporate Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
Chapman and Hall/CRC,
2018.
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| Edition: | First edition. |
| Series: | Advances in Applied Mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- MOTIVATION FOR COMPUTING FIRST- AND SECOND-ORDER SENSITIVITIES OF SYSTEM RESPONSES TO THE SYSTEMS PARAMETERS
- The Fundamental Role of Response Sensitivities for Uncertainty Quantification
- The Fundamental Role of Response Sensitivities for Predictive Modeling
- Advantages and Disadvantages of Statistical and Deterministic Methods for Computing Response Sensitivities
- ILLUSTRATIVE APPLICATION OF THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) TO A LINEAR EVOLUTION PROBLEM
- Exact Computation of the 1st-Order Response Sensitivities
- Exact Computation of the 2nd-Order Response Sensitivities
- Computing the 2nd-Order Response Sensitivities Corresponding to the 1st-Order Sensitivities
- Discussion of the Essential Features of the 2nd-ASAM
- Illustrative Use of Response Sensitivities for Predictive Modeling
- THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR LINEAR SYSTEMS
- Mathematical Modeling of a General Linear System
- The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
- The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
- APPLICATION OF THE 2nd-ASAM TO A LINEAR HEAT CONDUCTION AND CONVECTION BENCHMARK PROBLEM
- Heat Transport Benchmark Problem: Mathematical Modeling
- Computation of First-Order Sensitivities Using the 2nd-ASAM
- Computation of first-order sensitivities of the heated rod temperature
- Computation of first-order sensitivities of the coolant temperature
- Verification of the "ANSYS/FLUENT Adjoint Solver"
- Applying the 2nd-ASAM to Compute the Second-Order Sensitivities and Uncertainties for the Heat Transport Benchmark Problem
- APPLICATION OF THE 2nd-ASAM TO A LINEAR PARTICLE DIFFUSION PROBLEM
- Paradigm Diffusion Problem Description
- Applying the 2nd-ASAM to Compute the First-Order Response Sensitivities to Model Parameters
- Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Model Parameters
- Role of Second-Order Response Sensitivities for Quantifying Non-Gaussian Features of the Response Uncertainty Distribution
- Illustrative Application of First-Order Response Sensitivities for Predictive Modeling
- APPLICATION OF THE 2nd-ASAM FOR COMPUTING SENSITIVITIES OF DETECTOR RESPONSES TO UNCOLLIDED RADIATION TRANSPORT
- The Ray-Tracing Form of the Forward and Adjoint Boltzmann Transport Equation
- Application of the 2nd-ASAM to Compute the First-Order Response Sensitivities to Variations in Model Parameters
- Application of the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Variations in Model Parameters
- THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR NONLINEAR SYSTEMS
- Mathematical Modeling of a General Nonlinear System
- The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently the 1st-Order Sensitivities of Scalar-Valued Responses
- The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently the 2nd-Order Sensitivities of Scalar-Valued Responses for Nonlinear Systems
- APPLICATION OF THE 2nd-ASAM TO A NONLINEAR HEAT CONDUCTION PROBLEM
- Mathematical Modeling of Heated Cylindrical Test Section
- Application of the 2nd-ASAM for Computing the 1st-Order Sensitivities
- Application of the 2nd-ASAM for Computing the 2nd-Order Sensitivities.