The Second-Order Adjoint Sensitivity Analysis Methodology

1. Auflage 2018
ISBN: 978-1-4987-2648-1
Verlag: Taylor & Francis Inc

Buch, Englisch, 326 Seiten, Format (B × H): 241 mm x 165 mm, Gewicht: 614 g

Reihe: Advances in Applied Mathematics

The Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and reducing uncertainties in model predictions. The book has many illustrative examples that will help readers understand the complexity of the subject and will enable them to apply this methodology to problems in their own fields.

Highlights:

• Covers a wide range of needs, from graduate students to advanced researchers

• Provides a text positioned to be the primary reference for high-order sensitivity and uncertainty analysis

• Applies to all fields involving numerical modeling, optimization, quantification of sensitivities in direct and inverse problems in the presence of uncertainties.

About the Author:

Dan Gabriel Cacuci is a South Carolina SmartState Endowed Chair Professor and the Director of the Center for Nuclear Science and Energy, Department of Mechanical Engineering at the University of South Carolina. He has a Ph.D. in Applied Physics, Mechanical and Nuclear Engineering from Columbia University. He is also the recipient of many awards including four honorary doctorates, the Ernest Orlando Lawrence Memorial award from the U.S. Dept. of Energy and the Arthur Holly Compton, Eugene P. Wigner and the Glenn Seaborg Awards from the American Nuclear Society.

Zielgruppe

Academic and Professional Practice & Development

Autoren/Hrsg.

Cacuci, Dan Gabriel

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Preface Acknowledgments Author1. Motivation for Computing First- and Second-Order Sensitivities of System Responses to the System’s Parameters 2. Illustrative Application of the 2nd-ASAM to a LinearEvolution Problem 3. The 2nd-ASAM for Linear Systems 4. Application of the 2nd-ASAM to a Linear Heat Conduction andConvection Benchmark Problem 5. Application of the 2nd-ASAM to a Linear ParticleDiffusion Problem 6. Application of the 2nd-ASAM for Computing Sensitivities ofDetector Responses to Uncollided Radiation Transport 7. The 2nd-ASAM for Nonlinear Systems 8. Application of the 2nd-ASAM to a Nonlinear HeatConduction ProblemReferences Index

Über Autor(innen)

Dan Gabriel Cacuci is a South Carolina SmartState Endowed Chair Professor and the Director of the Center for Nuclear Science and Energy, Department of Mechanical Engineering at the University of South Carolina. He has a Ph.D. in Applied Physics, Mechanical and Nuclear Engineering from Columbia University. He is also the recipient of many awards including four honorary doctorates, the Ernest Orlando Lawrence Memorial award from the U.S. Dept. of Energy and the Arthur Holly Compton, Eugene P. Wigner and the Glenn Seaborg Awards from the American Nuclear Society.