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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
40
Downloads
116
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
356
Downloads
918
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
39
Downloads
106
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
306
Downloads
782
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
212
Downloads
628
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
357
Downloads
1,061
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
264
Downloads
686
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
291
Downloads
623
Views
Citations
Sensitivity of the Product System of Set-Valued Non-Autonomous Discrete Dynamical Systems
(Articles)
Yongxi Jiang
,
Tianxiu Lu
,
Jingmin Pi
,
Xiaofang Yang
Journal of Applied Mathematics and Physics
Vol.9 No.11
,November 10, 2021
DOI:
10.4236/jamp.2021.911174
147
Downloads
511
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
314
Downloads
829
Views
Citations
Eigensolution Variability of Asymmetric Damped Systems
(Articles)
Jian Chen
,
Yuegang Tan
Journal of Analytical Sciences, Methods and Instrumentation
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/jasmi.2012.23023
5,199
Downloads
8,520
Views
Citations
Identification of Question and Non-Question Segments in Arabic Monologues Using Prosodic Features: Novel Type-2 Fuzzy Logic and Sensitivity-Based Linear Learning Approaches
(Articles)
Sunday Olusanya Olatunji
,
Lahouari Cheded
,
Wasfi G. Al-Khatib
,
Omair Khan
Journal of Intelligent Learning Systems and Applications
Vol.5 No.3
,July 31, 2013
DOI:
10.4236/jilsa.2013.53018
3,743
Downloads
6,342
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
226
Downloads
731
Views
Citations
Global Sensitivity Analysis in Physiological Systems
(Articles)
Tahmineh Azizi
,
Robert Mugabi
Applied Mathematics
Vol.11 No.3
,March 5, 2020
DOI:
10.4236/am.2020.113011
673
Downloads
1,757
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
160
Downloads
651
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
280
Downloads
756
Views
Citations
Analyticity of Semigroups generated by Degenerate Mixed Differential Operators
(Articles)
Adel Saddi
Advances in Pure Mathematics
Vol.1 No.3
,June 3, 2011
DOI:
10.4236/apm.2011.13010
5,657
Downloads
11,120
Views
Citations
An Investigation of the Factors Affecting the Ozone Concentrations in an Urban Environment
(Articles)
Athanasios Sfetsos
,
Diamando Vlachogiannis
,
Nikolaos Gounaris
Atmospheric and Climate Sciences
Vol.3 No.1
,January 30, 2013
DOI:
10.4236/acs.2013.31003
4,369
Downloads
7,528
Views
Citations
Optimal Estimation of Parameters for an HIV Model
(Articles)
Danna Sun
,
Zhaoying Jiang
,
Ziku Wu
Engineering
Vol.5 No.10B
,December 17, 2013
DOI:
10.4236/eng.2013.510B084
3,662
Downloads
4,723
Views
Citations
Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality
(Articles)
Elimhan N. Mahmudov
Advances in Pure Mathematics
Vol.2 No.2
,March 22, 2012
DOI:
10.4236/apm.2012.22016
3,389
Downloads
6,975
Views
Citations
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