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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
245
Downloads
851
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
623
Downloads
1,807
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
219
Downloads
717
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
552
Downloads
1,511
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
399
Downloads
1,227
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
648
Downloads
1,893
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
439
Downloads
1,216
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
457
Downloads
1,147
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
311
Downloads
1,139
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
514
Downloads
1,461
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
5,472
Downloads
9,275
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
3,966
Downloads
6,989
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
404
Downloads
1,380
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
1,007
Downloads
3,150
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
337
Downloads
1,336
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
519
Downloads
1,422
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
6,102
Downloads
12,118
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
4,591
Downloads
8,261
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
3,977
Downloads
5,419
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
3,704
Downloads
7,704
Views
Citations
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