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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
362
Downloads
1,079
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
41
Downloads
126
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
368
Downloads
957
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
224
Downloads
656
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
43
Downloads
118
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
307
Downloads
795
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
269
Downloads
700
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
298
Downloads
636
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
1,564
Downloads
2,475
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
3,787
Downloads
6,120
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
4,393
Downloads
5,006
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
247
Downloads
810
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
517
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
1,147
Downloads
2,383
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
328
Downloads
851
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
6,817
Downloads
10,752
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
232
Downloads
754
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
4,522
Downloads
6,916
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
1,844
Downloads
2,718
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
397
Downloads
815
Views
Citations
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