Department of Mechanical Engineering, University of South Carolina, Columbia, SC, USA - Articles

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 559 Downloads 1,574 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 478 Downloads 1,312 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 600 Downloads 1,711 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 396 Downloads 1,076 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 405 Downloads 1,010 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 463 Downloads 1,254 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 444 Downloads 1,260 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 537 Downloads 1,319 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 345 Downloads 1,211 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 332 Downloads 1,053 Views Citations
Second-Order MaxEnt Predictive Modelling Methodology. I: Deterministically Incorporated Computational Model (2nd-BERRU-PMD) (Articles)

Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.13 No.2, June 20, 2023

DOI: 10.4236/ajcm.2023.132013 227 Downloads 847 Views Citations
Second-Order MaxEnt Predictive Modelling Methodology. II: Probabilistically Incorporated Computational Model (2nd-BERRU-PMP) (Articles)

Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.13 No.2, June 20, 2023

DOI: 10.4236/ajcm.2023.132014 211 Downloads 859 Views Citations
Second-Order MaxEnt Predictive Modelling Methodology. III: Illustrative Application to a Reactor Physics Benchmark (Articles)

Ruixian Fang, Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.13 No.2, June 21, 2023

DOI: 10.4236/ajcm.2023.132015 178 Downloads 707 Views Citations
Fourth-Order Predictive Modelling: I. General-Purpose Closed-Form Fourth-Order Moments-Constrained MaxEnt Distribution (Articles)

Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.13 No.4, October 16, 2023

DOI: 10.4236/ajcm.2023.134024 178 Downloads 714 Views Citations
Fourth-Order Predictive Modelling: II. 4^th-BERRU-PM Methodology for Combining Measurements with Computations to Obtain Best-Estimate Results with Reduced Uncertainties (Articles)

Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.13 No.4, October 16, 2023

DOI: 10.4236/ajcm.2023.134025 195 Downloads 724 Views Citations
Isoreactive Manipulation of Bioadhesive Polymers Impacts Tissue-Specific Interactions (Articles)

Jahid Ferdous, Eva Romito, Heather Doviak, Alexandra Moreira, Mark J. Uline, Francis G. Spinale, Tarek Shazly

Journal of Biomedical Science and Engineering Vol.10 No.5, May 27, 2017

DOI: 10.4236/jbise.2017.105022 1,570 Downloads 2,656 Views Citations
Grid-Connected Emergency Back-Up Power Supply (Articles)

Dhiman Chowdhury, Mohammad Sharif Miah, Md. F. Hossain

Circuits and Systems Vol.10 No.1, January 31, 2019

DOI: 10.4236/cs.2019.101001 1,173 Downloads 3,074 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 290 Downloads 1,128 Views Citations
Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): II. Paradigm Application to a Bernoulli Model Comprising Uncertain Parameters (Articles)

Dan Gabriel Cacuci

American Journal of Computational Mathematics Vol.12 No.1, March 22, 2022

DOI: 10.4236/ajcm.2022.121008 185 Downloads 915 Views Citations
Effects of Side-Chain on Conformational Characteristics of Poly(3,5-Dimethyl-Phenyl Acrylate) in Toluene at 40℃ (Articles)

Nasrollah Hamidi, Stanley Ihekweazu, Christopher A. Wiredu, Onize H. Isa, Kevin Watley, Christopher Rowe, Briante’ Nimmons, Alexis Prezzy, Traniqua Govan, Shane Scoville, Quentin Hills, Judith Salley

Advances in Chemical Engineering and Science Vol.2 No.4, November 1, 2012

DOI: 10.4236/aces.2012.24053 4,246 Downloads 7,144 Views Citations

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