As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right. While most techniques used for these analyses are well documented, there has yet to appear a systematic treatment of the method based on adjoint operators, which is applicable to a much wider variety of problems than methods traditionally used in control theory. This book fills that gap, focusing on the mathematical underpinnings of the Adjoint Sensitivity Analysis Procedure (ASAP) and the use of deterministically obtained sensitivities for subsequent uncertainty analysis.
Sensitivity and Uncertainty Analysis: Theory, Volume I: 1
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First Sentence:
This chapter is intended to provide a summary of selected definitions and concepts of matrix and operator theory that underlie sensitivity and uncertainty analysis of data and models. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
increasing ground range, oxygen elastic scattering cross section, combined phase space, tissue kerma, sensitivity analysis procedure, local sensitivity analysis, adjoint boundary conditions, direct effect term, adjoint system, adjoint functions, sensitivity equations, gamma responses, univariate probability, uncertainty analysis, prompt neutron, respective measurement, respective sensitivities, elementary errors, sensitivity theory, air zones, normed vector space, adjoint variables, ground ranges, adjoint equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Discrete Adjoint Sensitivity Analysis Procedure, Forward Sensitivity Analysis Procedure, G-differentials of Eqs, Monte Carlo New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
This chapter is intended to provide a summary of selected definitions and concepts of matrix and operator theory that underlie sensitivity and uncertainty analysis of data and models. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
increasing ground range, oxygen elastic scattering cross section, combined phase space, tissue kerma, sensitivity analysis procedure, local sensitivity analysis, adjoint boundary conditions, direct effect term, adjoint system, adjoint functions, sensitivity equations, gamma responses, univariate probability, uncertainty analysis, prompt neutron, respective measurement, respective sensitivities, elementary errors, sensitivity theory, air zones, normed vector space, adjoint variables, ground ranges, adjoint equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Discrete Adjoint Sensitivity Analysis Procedure, Forward Sensitivity Analysis Procedure, G-differentials of Eqs, Monte Carlo New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 40
books:
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- Uncertainty Analysis by Yigal Ronen on 4 pages
- Differential Equations (School Mathematics Project 16-19) by School Mathematics Project in Back Matter
- Perturbation Theory for Linear Operators (Classics in Mathematics) by Tosio Kato in Back Matter
- Statistical Data Analysis (Oxford Science Publications) by Glen Cowan in Back Matter
- Sensitivity Analysis in Linear Systems by Assem S. Deif in Back Matter
See all 40 books this book cites
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