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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
158
Downloads
703
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
104
Downloads
563
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
34
Downloads
117
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
33
Downloads
99
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
355
Downloads
1,178
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
263
Downloads
704
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
287
Downloads
648
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
274
Downloads
814
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
312
Downloads
881
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
338
Downloads
868
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
224
Downloads
767
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
211
Downloads
678
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
88
Downloads
347
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
72
Downloads
306
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
72
Downloads
329
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
75
Downloads
235
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
60
Downloads
250
Views
Citations
Effects of Obesity on Posaconazole Kinetics in a Patient with Graft versus Host Disease
(Articles)
Justin J. Pettis
,
Stephanie R. Hyche
,
Katherine N. Logan
,
Arash Poursina
,
P. Brandon Bookstaver
Pharmacology & Pharmacy
Vol.4 No.2
,April 18, 2013
DOI:
10.4236/pp.2013.42034
4,247
Downloads
6,998
Views
Citations
Human Mirror Neuron System (hMNS) Specific Differences in Resting-State Functional Connectivity in Self-Reported Democrats and Republicans: A Pilot Study
(Articles)
Roger Newman-Norlund
,
Jessica Burch
,
Katie Becofsky
Journal of Behavioral and Brain Science
Vol.3 No.4
,August 8, 2013
DOI:
10.4236/jbbs.2013.34034
5,962
Downloads
9,116
Views
Citations
NARCCAP Model Skill and Bias for the Southeast United States
(Articles)
Erik D. Kabela
,
Gregory J. Carbone
American Journal of Climate Change
Vol.4 No.1
,March 23, 2015
DOI:
10.4236/ajcc.2015.41009
4,308
Downloads
5,570
Views
Citations
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