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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
343
Downloads
955
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
151
Downloads
689
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
298
Downloads
821
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
28
Downloads
77
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
30
Downloads
95
Views
Citations
Sliding Mode Control, with Integrator, for a Class of Mimo Nonlinear Systems
(Articles)
Anouar Benamor
,
Larbi Chrifi-alaui
,
Hassani Messaoud
,
Mohamed Chaabane
Engineering
Vol.3 No.5
,May 27, 2011
DOI:
10.4236/eng.2011.35050
7,768
Downloads
14,858
Views
Citations
Existence of Solutions to Path-Dependent Kinetic Equations and Related Forward-Backward Systems
(Articles)
Vassili Kolokoltsov
,
Wei Yang
Open Journal of Optimization
Vol.2 No.2
,June 18, 2013
DOI:
10.4236/ojop.2013.22006
2,819
Downloads
5,676
Views
Citations
History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations
(Articles)
Agamenon R. E. Oliveira
Advances in Historical Studies
Vol.6 No.1
,March 21, 2017
DOI:
10.4236/ahs.2017.61003
2,310
Downloads
4,652
Views
Citations
Review of the Book “Non-Traditional Dynamics:Theory and Practice”
(Articles)
Gennadiy G. Goshin
Engineering
Vol.4 No.4
,April 26, 2012
DOI:
10.4236/eng.2012.44023
3,139
Downloads
5,466
Views
Citations
Robust H-Filtering for Lipschitz Nonlinear Systems via Multiobjective Optimization
(Articles)
Masoud Abbaszadeh
,
Horacio J. Marquez
Journal of Signal and Information Processing
Vol.1 No.1
,December 1, 2010
DOI:
10.4236/jsip.2010.11003
5,455
Downloads
9,308
Views
Citations
The Failure of Economic Theory. Lessons from Chaos Theory
(Articles)
Marisa Faggini
,
Anna Parziale
Modern Economy
Vol.3 No.1
,January 5, 2012
DOI:
10.4236/me.2012.31001
14,425
Downloads
28,136
Views
Citations
Novel Bounds for Solutions of Nonlinear Differential Equations
(Articles)
A. A. Martynyuk
Applied Mathematics
Vol.6 No.1
,January 19, 2015
DOI:
10.4236/am.2015.61018
3,232
Downloads
4,727
Views
Citations
Advanced Studies for Resolving Nonlinear Dynamic Systems Involving Complexity Based on Systems Thinking for Non-Physicists
(Articles)
Deok-Soo Cha
,
Kim Kyoung-Il
Open Journal of Applied Sciences
Vol.11 No.8
,August 31, 2021
DOI:
10.4236/ojapps.2021.118071
159
Downloads
733
Views
Citations
New Systems Solution for Resolving Nonlinear Dynamics Based on Systems Thinking
(Articles)
Deok-Soo Cha
,
Kyoung-il Kim
Open Journal of Applied Sciences
Vol.11 No.10
,October 29, 2021
DOI:
10.4236/ojapps.2021.1110088
155
Downloads
691
Views
Citations
Evaluation of the Validity of Chaos Theory Based on Systems Thinking for Non-Physicists
(Articles)
Deok-Soo Cha
,
Kyoung-Il Kim
Open Journal of Applied Sciences
Vol.12 No.5
,May 31, 2022
DOI:
10.4236/ojapps.2022.125057
105
Downloads
968
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
257
Downloads
689
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
280
Downloads
633
Views
Citations
Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: III. Response Moments
(Articles)
Ruixian Fang
,
Dan Gabriel Cacuci
American Journal of Computational Mathematics
Vol.10 No.4
,December 9, 2020
DOI:
10.4236/ajcm.2020.104031
336
Downloads
859
Views
Citations
On the Construction of Analytic-Numerical Approximations for a Class of Coupled Differential Models in Engineering
(Articles)
Emilio Defez
,
Vicente Soler
,
Roberto Capilla
Open Journal of Modelling and Simulation
Vol.3 No.1
,December 9, 2014
DOI:
10.4236/ojmsi.2015.31001
4,029
Downloads
4,661
Views
Citations
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation
(Articles)
Md. Nur Alam
,
Fethi Bin Muhammad Belgacem
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63014
3,616
Downloads
5,348
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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