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Second-Order Adjoint Sensitivity Analysis Methodology for Computing Exactly Response Sensitivities to Uncertain Parameters and Boundaries of Linear Systems: Mathematical Framework
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.3
,July 22, 2020
DOI:
10.4236/ajcm.2020.103018
400
Downloads
1,291
Views
Citations
Illustrative Application of the 2
nd
-Order Adjoint Sensitivity Analysis Methodology to a Paradigm Linear Evolution/Transmission Model: Point-Detector Response
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.3
,July 22, 2020
DOI:
10.4236/ajcm.2020.103019
295
Downloads
798
Views
Citations
Illustrative Application of the 2
nd
-Order Adjoint Sensitivity Analysis Methodology to a Paradigm Linear Evolution/Transmission Model: Reaction-Rate Detector Response
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.3
,July 24, 2020
DOI:
10.4236/ajcm.2020.103020
320
Downloads
733
Views
Citations
Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Framework
(Articles)
Dan Gabriel Cacuci
,
Ruixian Fang
American Journal of Computational Mathematics
Vol.10 No.4
,December 7, 2020
DOI:
10.4236/ajcm.2020.104029
341
Downloads
957
Views
Citations
Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: II. Computed Sensitivities
(Articles)
Ruixian Fang
,
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.4
,December 7, 2020
DOI:
10.4236/ajcm.2020.104030
354
Downloads
970
Views
Citations
Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: III. Response Moments
(Articles)
Ruixian Fang
,
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.4
,December 9, 2020
DOI:
10.4236/ajcm.2020.104031
392
Downloads
953
Views
Citations
Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Expressions and CPU-Time Comparisons for Computing 1
st
-, 2
nd
- and 3
rd
-Order Sensitivities
(Articles)
Dan Gabriel Cacuci
,
Ruixian Fang
American Journal of Computational Mathematics
Vol.11 No.2
,May 26, 2021
DOI:
10.4236/ajcm.2021.112009
257
Downloads
851
Views
Citations
Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: II. Mathematical Expressions and CPU-Time Comparisons for Computing 4
th
-Order Sensitivities
(Articles)
Dan Gabriel Cacuci
,
Ruixian Fang
American Journal of Computational Mathematics
Vol.11 No.2
,May 26, 2021
DOI:
10.4236/ajcm.2021.112010
253
Downloads
775
Views
Citations
Second-Order MaxEnt Predictive Modelling Methodology. I: Deterministically Incorporated Computational Model (2nd-BERRU-PMD)
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.13 No.2
,June 20, 2023
DOI:
10.4236/ajcm.2023.132013
124
Downloads
496
Views
Citations
Second-Order MaxEnt Predictive Modelling Methodology. II: Probabilistically Incorporated Computational Model (2nd-BERRU-PMP)
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.13 No.2
,June 20, 2023
DOI:
10.4236/ajcm.2023.132014
112
Downloads
470
Views
Citations
Second-Order MaxEnt Predictive Modelling Methodology. III: Illustrative Application to a Reactor Physics Benchmark
(Articles)
Ruixian Fang
,
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.13 No.2
,June 21, 2023
DOI:
10.4236/ajcm.2023.132015
101
Downloads
432
Views
Citations
Fourth-Order Predictive Modelling: I. General-Purpose Closed-Form Fourth-Order Moments-Constrained MaxEnt Distribution
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.13 No.4
,October 16, 2023
DOI:
10.4236/ajcm.2023.134024
104
Downloads
358
Views
Citations
Fourth-Order Predictive Modelling: II. 4
th
-BERRU-PM Methodology for Combining Measurements with Computations to Obtain Best-Estimate Results with Reduced Uncertainties
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.13 No.4
,October 16, 2023
DOI:
10.4236/ajcm.2023.134025
95
Downloads
406
Views
Citations
Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): I. Mathematical Framework
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.12 No.1
,March 11, 2022
DOI:
10.4236/ajcm.2022.121005
200
Downloads
826
Views
Citations
Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): II. Paradigm Application to a Bernoulli Model Comprising Uncertain Parameters
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.12 No.1
,March 22, 2022
DOI:
10.4236/ajcm.2022.121008
121
Downloads
665
Views
Citations
The First-Order Comprehensive Sensitivity Analysis Methodology (1st-CASAM) for Scalar-Valued Responses: I. Theory
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.2
,June 29, 2020
DOI:
10.4236/ajcm.2020.102015
414
Downloads
1,161
Views
Citations
The First-Order Comprehensive Sensitivity Analysis Methodology (1
st
-CASAM) for Scalar-Valued Responses: II. Illustrative Application to a Heat Transport Benchmark Model
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.2
,June 29, 2020
DOI:
10.4236/ajcm.2020.102016
344
Downloads
969
Views
Citations
Introducing the n
th
-Order Features Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (n
th
-FASAM-N): I. Mathematical Framework
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.14 No.1
,March 27, 2024
DOI:
10.4236/ajcm.2024.141002
72
Downloads
291
Views
Citations
Introducing the n
th
-Order Features Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (n
th
-FASAM-N): II. Illustrative Example
(Articles)
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.14 No.1
,March 27, 2024
DOI:
10.4236/ajcm.2024.141003
72
Downloads
247
Views
Citations
Isoreactive Manipulation of Bioadhesive Polymers Impacts Tissue-Specific Interactions
(Articles)
Jahid Ferdous
,
Eva Romito
,
Heather Doviak
,
Alexandra Moreira
,
Mark J. Uline
,
Francis G. Spinale
,
Tarek Shazly
Journal of Biomedical Science and Engineering
Vol.10 No.5
,May 27, 2017
DOI:
10.4236/jbise.2017.105022
1,478
Downloads
2,384
Views
Citations
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