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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
37
Downloads
107
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
913
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
35
Downloads
90
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
305
Downloads
775
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
627
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
1,056
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
620
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
146
Downloads
506
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
313
Downloads
824
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
8,515
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
3,742
Downloads
6,338
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
670
Downloads
1,745
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
649
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
277
Downloads
748
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
5,655
Downloads
11,116
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
4,368
Downloads
7,524
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
3,658
Downloads
4,717
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
6,971
Views
Citations
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