Adjoint - Articles - Scientific Research Publishing

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
Exactly Solvable Two-Parameter Models of Relativistic ${δ^{'}}_{s}$ -Sphere Interactions in Quantum Mechanics (Articles)

Jules Manirambona, Juma Shabani, Alfred Vyabandi

Journal of Applied Mathematics and Physics Vol.12 No.4, April 29, 2024

DOI: 10.4236/jamp.2024.124078 184 Downloads 667 Views Citations
Electromagnetism and Gravitation: A Conformal Jigsaw Puzzle (Articles)

Jean-Francois Pommaret

Journal of Modern Physics Vol.16 No.9, September 24, 2025

DOI: 10.4236/jmp.2025.169067 87 Downloads 428 Views Citations
This article belongs to the Special Issue on Gravitation, Astrophysics and Cosmology
Swimmer simulation using robot manipulator dynamics under steady water (Articles)

Kazunori Shinohara

Natural Science Vol.2 No.9, October 8, 2010

DOI: 10.4236/ns.2010.29117 5,354 Downloads 10,500 Views Citations
The Definition of Universal Momentum Operator of Quantum Mechanics and the Essence of Micro-Particle’s Spin——To Reveal the Real Reason That the Bell Inequality Is Not Supported by Experiments (Articles)

Xiaochun Mei, Ping Yu

Journal of Modern Physics Vol.3 No.6, June 21, 2012

DOI: 10.4236/jmp.2012.36062 7,255 Downloads 11,203 Views Citations
Positive-Definite Operator-Valued Kernels and Integral Representations (Articles)

L. Lemnete-Ninulescu

Applied Mathematics Vol.3 No.12, December 24, 2012

DOI: 10.4236/am.2012.312274 4,223 Downloads 6,638 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 1,757 Downloads 3,155 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
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 1,227 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 717 Views Citations
Cauchy, Cosserat, Clausius, Einstein, Maxwell, Weyl Equations Revisited (Articles)

J.-F. Pommaret

Journal of Modern Physics Vol.15 No.13, December 23, 2024

DOI: 10.4236/jmp.2024.1513097 102 Downloads 575 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
Airy, Beltrami, Maxwell, Einstein and Lanczos Potentials Revisited (Articles)

J.-F. Pommaret

Journal of Modern Physics Vol.7 No.7, April 28, 2016

DOI: 10.4236/jmp.2016.77068 2,257 Downloads 3,741 Views Citations
This article belongs to the Special Issue on Research on Gravitation, Astrophysics and Cosmology
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
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
On the Domains of General Ordinary Differential Operators in the Direct Sum Spaces (Articles)

Sobhy El-Sayed Ibrahim

Advances in Pure Mathematics Vol.12 No.3, March 22, 2022

DOI: 10.4236/apm.2022.123017 260 Downloads 1,085 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 514 Downloads 1,461 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
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

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