Third Order Adjoint Sensitivity Analysis - Articles

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 514 Downloads 1,461 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 1,228 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 648 Downloads 1,893 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 439 Downloads 1,216 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 1,147 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 1,511 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 404 Downloads 1,380 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 851 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 519 Downloads 1,422 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 718 Views Citations
High Order Portfolio Optimization Problem with Transaction Costs (Articles)

Xin Li, Peiai Zhang

Modern Economy Vol.10 No.6, June 12, 2019

DOI: 10.4236/me.2019.106100 1,122 Downloads 2,762 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 623 Downloads 1,807 Views Citations
Partial Ordering of Range Symmetric Matrices and M-Projectors with Respect to Minkowski Adjoint in Minkowski Space (Articles)

D. Krishnaswamy, Mohd Saleem Lone

Advances in Linear Algebra & Matrix Theory Vol.6 No.4, December 6, 2016

DOI: 10.4236/alamt.2016.64013 1,913 Downloads 3,513 Views Citations
Boundedness and Oscillation of Third Order Neutral Differential Equations with Deviating Arguments (Articles)

Elmetwally M. Elabbasy, Magdy Y. Barsoum, Osama Moaaz

Journal of Applied Mathematics and Physics Vol.3 No.11, November 19, 2015

DOI: 10.4236/jamp.2015.311164 3,282 Downloads 4,773 Views Citations
Oscillation Properties of Third Order Neutral Delay Differential Equations (Articles)

Elmetwally M. Elabbasy, Osama Moaaz, Ebtesam Sh. Almehabresh

Applied Mathematics Vol.7 No.15, September 21, 2016

DOI: 10.4236/am.2016.715149 2,142 Downloads 3,832 Views Citations
Growth, Crystal Structure and Characterization of a New Single Crystal: Lithium Sodium Acid Phthalate (LiNaP), for Third Order Nonlinear Optical Applications (Articles)

B. Sivakumar, S. Gokul Raj, G. Ramesh Kumar, R. Mohan

Journal of Crystallization Process and Technology Vol.2 No.4, October 17, 2012

DOI: 10.4236/jcpt.2012.24018 6,010 Downloads 12,271 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 337 Downloads 1,336 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 219 Downloads 1,042 Views Citations
The Third Kind Of Particles (Articles)

ShaoXu Ren

Journal of Modern Physics Vol.5 No.9, June 23, 2014

DOI: 10.4236/jmp.2014.59090 3,860 Downloads 6,406 Views Citations
Optimal Ordering Policy for Deteriorating Items Having Constant Demand and Deterioration Rate (Articles)

Sarbjit Singh

Theoretical Economics Letters Vol.7 No.7, December 14, 2017

DOI: 10.4236/tel.2017.77146 1,040 Downloads 2,501 Views Citations

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