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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
646
Downloads
1,899
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
245
Downloads
847
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
622
Downloads
1,799
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
1,222
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
713
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
1,506
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
438
Downloads
1,212
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
1,143
Views
Citations
The Cost Functional and Its Gradient in Optimal Boundary Control Problem for Parabolic Systems
(Articles)
Mohamed A. El-Sayed
,
Moustafa M. Salama
,
M. H. Farag
,
Fahad B. Al-Thobaiti
Open Journal of Optimization
Vol.6 No.1
, March 23, 2017
DOI:
10.4236/ojop.2017.61003
1,755
Downloads
3,148
Views
Citations
Chaotic Properties on Time Varying Map and Its Set Valued Extension
(Articles)
Ayub Khan
,
Praveen Kumar
Advances in Pure Mathematics
Vol.3 No.3
, May 17, 2013
DOI:
10.4236/apm.2013.33051
4,082
Downloads
6,929
Views
Citations
Simulation Study on Electromechanical Disturbance Propagation in Large Power System
(Articles)
Changyong Chen
,
Bowei Hu
,
Xiaoru Wang
Journal of Power and Energy Engineering
Vol.3 No.4
, April 14, 2015
DOI:
10.4236/jpee.2015.34022
4,741
Downloads
5,810
Views
Citations
Global Bounded Solutions for the Keller-Segel Chemotaxis System with Singular Sensitivity
(Articles)
Khalid Ahmed Abbakar
,
Omer Khalil
,
Alhussein Mohamed
,
Bechir Mahamat
,
Abdoulaye Ali
,
Abeer Alhadi
Applied Mathematics
Vol.11 No.10
, October 19, 2020
DOI:
10.4236/am.2020.1110064
463
Downloads
1,471
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
1,133
Views
Citations
Analysis on Sensitivity of Power System Stability to Generator Parameters
(Articles)
Xiaoming Sun
Journal of Power and Energy Engineering
Vol.7 No.1
, January 30, 2019
DOI:
10.4236/jpee.2019.71009
1,437
Downloads
3,458
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
511
Downloads
1,452
Views
Citations
Identification of the Optimum Locations of Power System Stabilizers in a Multimachine Power System Using Second Order Eigenvalue Sensitivity Analysis
(Articles)
Abdul Mahabuba
,
Abdullah Khan
Smart Grid and Renewable Energy
Vol.4 No.1
, February 26, 2013
DOI:
10.4236/sgre.2013.41005
7,114
Downloads
11,575
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
403
Downloads
1,375
Views
Citations
Proposal for the Introduction of the Spatial Perspective in the Application of Global Sensitivity Analysis
(Articles)
Wenseslao Plata-Rocha
,
Montserrat Gómez-Delgado
,
Joaquín Bosque-Sendra
Journal of Geographic Information System
Vol.4 No.6
, December 31, 2012
DOI:
10.4236/jgis.2012.46055
4,862
Downloads
7,797
Views
Citations
Association between Depression, Pressure Pain Sensitivity, Stress and Autonomous Nervous System Function in Stable Ischemic Heart Disease: Impact of Beta-Adrenergic Receptor Blockade
(Articles)
Søren Ballegaard
,
Natasha Bergmann
,
Benny Karpatschof
,
Jesper Kristiansen
,
Finn Gyntelberg
,
Lars Arendt-Nielsen
,
Per Bech
,
Åke Hjalmarson
,
Jens Faber
Journal of Behavioral and Brain Science
Vol.6 No.8
, July 22, 2016
DOI:
10.4236/jbbs.2016.68031
2,062
Downloads
3,410
Views
Citations
This article belongs to the Special Issue on
Stress and Behavior
Studying the Changes of an Optimal Trajectory
(Articles)
Ahmed Mohamed Mohamed El-Sayed
Open Access Library Journal
Vol.5 No.7
, July 16, 2018
DOI:
10.4236/oalib.1104716
504
Downloads
1,512
Views
Citations
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