# The Second-Order Adjoint Sensitivity Analysis Methodology. (Record no. 75426)

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fixed length control field | 09479nam a22005173i 4500 |

001 - CONTROL NUMBER | |

control field | EBC5301938 |

003 - CONTROL NUMBER IDENTIFIER | |

control field | MiAaPQ |

005 - DATE AND TIME OF LATEST TRANSACTION | |

control field | 20191126093927.0 |

006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |

fixed length control field | m o d | |

007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |

fixed length control field | cr cnu|||||||| |

008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |

fixed length control field | 191125s2018 xx o ||||0 eng d |

020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |

International Standard Book Number | 9781498726498 |

Qualifying information | (electronic bk.) |

020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |

Canceled/invalid ISBN | 9781138105294 |

035 ## - SYSTEM CONTROL NUMBER | |

System control number | (MiAaPQ)EBC5301938 |

035 ## - SYSTEM CONTROL NUMBER | |

System control number | (Au-PeEL)EBL5301938 |

035 ## - SYSTEM CONTROL NUMBER | |

System control number | (CaPaEBR)ebr11513191 |

035 ## - SYSTEM CONTROL NUMBER | |

System control number | (OCoLC)1023861740 |

040 ## - CATALOGING SOURCE | |

Original cataloging agency | MiAaPQ |

Language of cataloging | eng |

Description conventions | rda |

-- | pn |

Transcribing agency | MiAaPQ |

Modifying agency | MiAaPQ |

050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |

Classification number | QA402 .C338 2018 |

082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |

Classification number | 003.71 |

100 1# - MAIN ENTRY--PERSONAL NAME | |

Personal name | Cacuci, Dan Gabriel. |

9 (RLIN) | 48671 |

245 14 - TITLE STATEMENT | |

Title | The Second-Order Adjoint Sensitivity Analysis Methodology. |

250 ## - EDITION STATEMENT | |

Edition statement | 1st ed. |

264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |

Place of production, publication, distribution, manufacture | Milton : |

Name of producer, publisher, distributor, manufacturer | CRC Press LLC, |

Date of production, publication, distribution, manufacture, or copyright notice | 2018. |

264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |

Date of production, publication, distribution, manufacture, or copyright notice | ©2018. |

300 ## - PHYSICAL DESCRIPTION | |

Extent | 1 online resource (327 pages) |

336 ## - CONTENT TYPE | |

Content type term | text |

Content type code | txt |

Source | rdacontent |

337 ## - MEDIA TYPE | |

Media type term | computer |

Media type code | c |

Source | rdamedia |

338 ## - CARRIER TYPE | |

Carrier type term | online resource |

Carrier type code | cr |

Source | rdacarrier |

490 1# - SERIES STATEMENT | |

Series statement | Advances in Applied Mathematics Ser. |

505 0# - FORMATTED CONTENTS NOTE | |

Formatted contents note | Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- Author -- Chapter 1: Motivation for Computing First- and Second-Order Sensitivities of System Responses to the System's Parameters -- 1.1 The Fundamental Role of Response Sensitivities for Uncertainty Quantification -- 1.2 The Fundamental Role of Response Sensitivities for Predictive Modeling -- 1.3 Advantages and Disadvantages of Statistical and Deterministic Methods for Computing Response Sensitivities -- Chapter 2: Illustrative Application of the 2nd-ASAM to a Linear Evolution Problem -- 2.1 Exact Computation of the First-Order Response Sensitivities -- 2.2 Exact Computation of the Second-Order Response Sensitivities -- 2.2.1 Computing the Second-Order Response Sensitivities Corresponding to the First-Order Sensitivities ∂ρ( t 1 )/∂β i -- 2.2.2 Computing the Second - Order Response Sensitivities Corresponding to the First-Order Sensitivities ∂ρ ( t 1 )/ ∂w i -- 2.2.3 Computing the Second-Order Response Sensitivities Corresponding to the First-Order Sensitivities ∂ρ( t 1 )/∂ q -- 2.2.4 Computing the Second-Order Response Sensitivities Corresponding to the First-Order Sensitivities ∂ρ( t 1 )/∂ρ in -- 2.2.5 Discussion of the Essential Features of the 2nd-ASAM -- 2.2.6 Illustrative Use of Response Sensitivities for Predictive Modeling -- Chapter 3: The 2nd-ASAM for Linear Systems -- 3.1 Mathematical Modeling of a General Linear System -- 3.2 The 1st-LASS for Computing Exactly and Efficiently First-Order Sensitivities of Scalar-Valued Responses for Linear Systems -- 3.3 The 2nd-LASS for Computing Exactly and Efficiently First-Order Sensitivities of Scalar-Valued Responses for Linear Systems -- 3.4 Concluding Remarks. |

505 8# - FORMATTED CONTENTS NOTE | |

Formatted contents note | Chapter 4: Application of the 2nd-ASAM to a Linear Heat Conduction and Convection Benchmark Problem -- 4.1 Heat Transport Benchmark Problem: Mathematical Modeling -- 4.2 Computation of First-Order Sensitivities -- 4.2.1 Computation of First-Order Sensitivities of the Heated Rod Temperature, T ( r , z ), at an Arbitrary Location ( r 0 , z 0 ) -- 4.2.2 Computation of First-Order Sensitivities of the Heated Rod Temperature, T max ( z max ), at the Location z max -- 4.2.3 Computation of First-Order Sensitivities of the Heated Rod Temperature, T s ( z 1 ), at an Arbitrary Location z 1 -- 4.2.4 Computation of First-Order Sensitivities of the Coolant Temperature -- 4.2.5 Verification of the ANSYS/FLUENT Adjoint Solver -- 4.3 Applying the 2nd-ASAM to Compute the Second-Order Sensitivities and Uncertainties for the Heat Transport Benchmark Problem -- 4.3.1 Computation of the Second-Order Sensitivities and Uncertainties of the Heated Rod Temperature, T ( r , z ), at an Arbitrary Location ( r 0 , z 0 ) -- 4.3.1.1 Computation of the Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 1 ∂ α j ), α 1 ≡ q , and j = 1, …, N α = 6 -- 4.3.1.2 Computation of the Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 2 ∂ α j ), α 2 ≡ k , and j = 1, …, N α = 6 -- 4.3.1.3 Computation of the Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 3 ∂ α j ), α 3 ≡ h , and j = 1, …, N α = 6 -- 4.3.1.4 Computation of the Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 4 ∂ α j ), α 4 ≡ W , and j = 1, …, N α = 6 -- 4.3.1.5 Computation of Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 5 ∂ α j ), α 5 ≡ c p , and j = 1, …, N α = 6. |

505 8# - FORMATTED CONTENTS NOTE | |

Formatted contents note | 4.3.1.6 Computation of Second-Order Response Sensitivities ∂ 2 T ( r 0 , z 0 )/(∂ α 6 ∂ α j ), α 6 ≡ T inlet , and j = 1, …, N α = 6 -- 4.3.1.7 Quantitative Comparison of Second-Order Sensitivities of the Rod Temperature Distribution to G4M Reactor Model Parameters -- 4.3.1.8 Quantitative Contributions of Second-Order Sensitivities to the Uncertainty in the Rod Temperature Distribution for G4M Reactor Model Parameters -- 4.3.2 Computation of Second-Order Sensitivities of the Coolant Temperature, T fl ( z ) -- 4.4 Concluding Remarks -- Chapter 5: Application of the 2nd-ASAM to a Linear Particle Diffusion Problem -- 5.1 Problem Description -- 5.2 Applying the 2nd-ASAM to Compute the First-Order Response Sensitivities to Model Parameters -- 5.3 Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Model Parameters -- 5.3.1 Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities S 4 i ≜ ∂ 2 R /(∂∑ d ∂ α i ) -- 5.3.2 Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities S 3 i ≜ ∂ 2 R /(∂ Q ∂ α i ) -- 5.3.3 Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities S 1 i ≜ ∂ 2 R /(∂∑ a ∂ α i ) -- 5.3.4 Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities S 2 i ≜ ∂ 2 R /(∂ D ∂ α i ) -- 5.4 Role of Second-Order Response Sensitivities for Quantifying Non-Gaussian Features of the Response Uncertainty Distribution -- 5.5 Illustrative Application of First-Order Response Sensitivities for Predictive Modeling -- 5.5.1 Assimilating an Imprecise but Consistent Measurement -- 5.5.2 Assimilating a Precise and Consistent Measurement -- 5.5.3 Assimilating Two Consistent Measurements -- 5.5.4 Assimilating Four Consistent Measurements. |

505 8# - FORMATTED CONTENTS NOTE | |

Formatted contents note | Chapter 6: Application of the 2nd-ASAM for Computing Sensitivities of Detector Responses to Uncollided Radiation Transport -- 6.1 The Ray-Tracing Form of the Forward and Adjoint Boltzmann Transport Equations -- 6.2 Application of the 2nd-ASAM to Compute the First-Order Response Sensitivities to Variations in Model Parameters -- 6.3 Application of the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Variations in Model Parameters -- 6.3.1 Computation of the Second-Order Sensitivities -- 6.3.2 Computation of the Second-Order Sensitivities -- 6.3.3 Computation of the Second-Order Sensitivities -- 6.3.4 Computation of the Second-Order Sensitivities -- 6.4 Concluding Remarks -- Chapter 7: The 2nd-ASAM for Nonlinear Systems -- 7.1 Mathematical Modeling of a General Nonlinear System -- 7.2 The 1st-LASS for Computing Exactly and Efficiently the First-Order Sensitivities -- 7.3 The 2nd-LASS for Computing Exactly and Efficiently the Second-Order Sensitivities of Scalar-Valued Responses for Nonlinear Systems -- 7.4 Concluding Remarks -- Chapter 8: Application of the 2nd-ASAM to a Nonlinear Heat Conduction Problem -- 8.1 Mathematical Modeling of Heated Cylindrical Test Section -- 8.2 Application of the 2nd-ASAM for Computing the First-Order Sensitivities -- 8.3 Application of the 2nd-ASAM to Compute the Second-Order Sensitivities -- 8.3.1 Computation of the Second-Order Sensitivities -- 8.3.2 Computation of the Second-Order Sensitivities -- 8.3.3 Computation of the Second-Order Sensitivities -- 8.3.4 Computation of the Second-Order Sensitivities -- 8.3.5 Computation of the Second-Order Sensitivities -- 8.3.6 Computation of Standard Deviation and Skewness of the Temperature Distribution -- 8.4 Concluding Remarks -- References -- Index -- A -- B -- C -- D -- E. |

505 8# - FORMATTED CONTENTS NOTE | |

Formatted contents note | F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W. |

588 ## - SOURCE OF DESCRIPTION NOTE | |

Source of description note | Description based on publisher supplied metadata and other sources. |

590 ## - LOCAL NOTE (RLIN) | |

Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name entry element | Sensitivity theory (Mathematics). |

9 (RLIN) | 48672 |

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name entry element | Large scale systems.. |

9 (RLIN) | 48673 |

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name entry element | Nonlinear systems. |

9 (RLIN) | 48674 |

655 #4 - INDEX TERM--GENRE/FORM | |

Genre/form data or focus term | Electronic books. |

9 (RLIN) | 48675 |

776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |

Relationship information | Print version: |

Main entry heading | Cacuci, Dan Gabriel |

Title | The Second-Order Adjoint Sensitivity Analysis Methodology |

Place, publisher, and date of publication | Milton : CRC Press LLC,c2018 |

International Standard Book Number | 9781138105294 |

797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |

Corporate name or jurisdiction name as entry element | ProQuest (Firm) |

830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |

Uniform title | Advances in Applied Mathematics Ser. |

9 (RLIN) | 48676 |

856 40 - ELECTRONIC LOCATION AND ACCESS | |

Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=5301938">https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=5301938</a> |

Public note | Click to View |

887 ## - NON-MARC INFORMATION FIELD | |

Content of non-MARC field | EBK |

942 ## - ADDED ENTRY ELEMENTS (KOHA) | |

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