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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
209
Downloads
827
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
125
Downloads
665
Views
Citations
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
411
Downloads
1,279
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
300
Downloads
797
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
325
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
933
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
357
Downloads
974
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
399
Downloads
951
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
261
Downloads
862
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
255
Downloads
771
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
130
Downloads
503
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
116
Downloads
461
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
106
Downloads
435
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
110
Downloads
360
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
105
Downloads
412
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
81
Downloads
294
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
81
Downloads
256
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
419
Downloads
1,162
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
353
Downloads
969
Views
Citations
COVID-19 Vaccine Related Hyperosmolar Hyperglycemic State and Normalized Glycemia within 2 Months
(Articles)
Subhashini Yaturu
,
Somayeh D. Azimi
,
Amy M. Allen
,
John Atkins
Journal of Diabetes Mellitus
Vol.12 No.1
，December 6, 2021
DOI:
10.4236/jdm.2022.121002
246
Downloads
1,325
Views
Citations
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