Dan Gabriel Cacuci - Articles - Scientific Research Publishing

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 412 Downloads 1,157 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 341 Downloads 965 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 400 Downloads 1,285 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 295 Downloads 798 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 320 Downloads 733 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 199 Downloads 825 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 120 Downloads 663 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 122 Downloads 493 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 109 Downloads 465 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 103 Downloads 354 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 95 Downloads 404 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 72 Downloads 289 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 72 Downloads 247 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 340 Downloads 955 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 354 Downloads 969 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 391 Downloads 951 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 257 Downloads 849 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 253 Downloads 774 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 99 Downloads 430 Views Citations
Nanotechnology, Nanoparticles and Nanoscience: A New Approach in Chemistry and Life Sciences (Articles)

Dan Tshiswaka Dan

Soft Nanoscience Letters Vol.10 No.2，April 30, 2020

DOI: 10.4236/snl.2020.102002 1,154 Downloads 4,875 Views Citations

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