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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Cacuci, Dan Gabriel |
The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III |
I12702 |
2023 |
eBook |
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| 2 |
Cacuci, Dan Gabriel |
The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II |
I12631 |
2023 |
eBook |
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| 3 |
Cacuci, Dan Gabriel |
The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I |
I12435 |
2022 |
Book |
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| Title | The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III : Overcoming the Curse of Dimensionality: Nonlinear Systems |
| Author(s) | Cacuci, Dan Gabriel |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. |
| Description | XII, 369 p. 148 illus., 20 illus. in color : online resource |
| Abstract Note | This text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The model???s responses can be either scalar-valued functionals of the model???s parameters and state variables (as customarily encountered, e.g., in optimization problems) or general function-valued responses, which are often of interest but are currently not amenable to efficient sensitivity analysis. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The text includes illustrative paradigm problems which are fully worked-out to enable the thorough understanding of the C-ASAM???s principles and their practical application. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. It serves as a textbook or as supplementary reading for graduate course on these topics, in academic departments in the natural, biological, and physical sciences and engineering. This Volume Three, the third of three, covers systems that are nonlinear in the state variables, model parameters and associated responses. The selected illustrative paradigm problems share these general characteristics. A separate Volume One covers systems that are linear in the state variables |
| ISBN,Price | 9783031227578 |
| Keyword(s) | 1. Computational Physics and Simulations
2. COMPUTER SIMULATION
3. EBOOK - SPRINGER
4. Energy and state
5. Energy policy
6. Energy Policy, Economics and Management
7. ENGINEERING
8. ENGINEERING MATHEMATICS
9. Mathematical and Computational Engineering Applications
10. Mathematical Modeling and Industrial Mathematics
11. MATHEMATICAL MODELS
12. MATHEMATICAL PHYSICS
13. NUCLEAR PHYSICS
14. Statistical Theory and Methods
15. Statistics??
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12702 |
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On Shelf |
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| Title | The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II : Overcoming the Curse of Dimensionality: Large-Scale Application |
| Author(s) | Cacuci, Dan Gabriel;Fang, Ruixian |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. |
| Description | XVI, 463 p. 20 illus., 18 illus. in color : online resource |
| Abstract Note | This text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. This Volume Two, the second of three, presents the large-scale application of C-ASAM to compute exactly the first-, second-, third-, and fourth-order sensitivities of the Polyethylene-Reflected Plutonium (PERP) OECD/NEO international benchmark which is modeled mathematically by the Boltzmann particle transport equation. It follows from the description of the C-ASAM framework applied to linear systems in Volume One where the PERP benchmark's response of interest is the leakage of particles through its outer boundary. The benchmark represents the largest sensitivity analysis endeavor ever carried out in the field of reactor physics and the numerical results shown in this book prove, for the first time ever, that many of the second-order sensitivities are much larger than the corresponding first-order ones. Currently, the nth-CASAM is the only known methodology which enables such large-scale computations of the exact expressions and values of the nth-order response sensitivities |
| ISBN,Price | 9783031196355 |
| Keyword(s) | 1. Computational Physics and Simulations
2. COMPUTER SIMULATION
3. EBOOK - SPRINGER
4. Energy and state
5. Energy policy
6. Energy Policy, Economics and Management
7. ENGINEERING
8. ENGINEERING MATHEMATICS
9. Mathematical and Computational Engineering Applications
10. Mathematical Modeling and Industrial Mathematics
11. MATHEMATICAL MODELS
12. MATHEMATICAL PHYSICS
13. NUCLEAR PHYSICS
14. Statistical Theory and Methods
15. Statistics??
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12631 |
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On Shelf |
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3.
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| Title | The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I : Overcoming the Curse of Dimensionality: Linear Systems |
| Author(s) | Cacuci, Dan Gabriel |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XII, 362 p : online resource |
| Abstract Note | The computational models of physical systems comprise parameters, independent and dependent variables. Since the physical processes themselves are seldom known precisely and since most of the model parameters stem from experimental procedures which are also subject to imprecisions, the results predicted by these models are also imprecise, being affected by the uncertainties underlying the respective model. The functional derivatives (also called ???sensitivities???) of results (also called ???responses???) produced by mathematical/computational models are needed for many purposes, including: (i) understanding the model by ranking the importance of the various model parameters; (ii) performing ???reduced-order modeling??? by eliminating unimportant parameters and/or processes; (iii) quantifying the uncertainties induced in a model response due to model parameter uncertainties; (iv) performing ???model validation,??? by comparing computations to experiments to address the question ???does the model represent reality???? (v) prioritizing improvements in the model; (vi) performing data assimilation and model calibration as part of forward ???predictive modeling??? to obtain best-estimate predicted results with reduced predicted uncertainties; (vii) performing inverse ???predictive modeling???; (viii) designing and optimizing the system. This 3-Volume monograph describes a comprehensive adjoint sensitivity analysis methodology, developed by the author, which enables the efficient and exact computation of arbitrarily high-order sensitivities of model responses in large-scale systems comprising many model parameters. The qualifier ???comprehensive??? is employed to highlight that the model parameters considered within the framework of this methodology also include the system???s uncertain boundaries and internal interfaces in phase-space. The model???s responses can be either scalar-valued functionals of the model???s parameters and state variables (e.g., as customarily encountered in optimization problems) or general function-valued responses. Since linear operators admit bona-fide adjoint operators, responses of models that are linear in the state functions (i.e., dependent variables) can depend simultaneously on both the forward and the adjoint state functions. Hence, the sensitivity analysis of such responses warrants the treatment of linear systems in their own right, rather than treating them as particular cases of nonlinear systems. This is in contradistinction to responses for nonlinear systems, which can depend only on the forward state functions, since nonlinear operators do not admit bona-fide adjoint operators (only a linearized form of a nonlinear operator may admit an adjoint operator). Thus, Volume 1 of this book presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as ???nth-CASAM-L???), which is conceived for the most efficient computation of exactly obtained mathematical expressions of arbitrarily-high-order (nth-order) sensitivities of a generic system response with respect to all of the parameters underlying the respective forward/adjoint systems. Volume 2 of this book presents the application of the nth-CASAM-L to perform a fourth-order sensitivity and uncertainty analysis of an OECD/NEA reactor physics benchmark which is representative of a large-scale model comprises many (21,976) uncertain parameters, thereby amply illustrating the unique potential of the nth-CASAM-L to enable the exact and efficient computation of chosen high-order response sensitivities to model parameters. Volume 3 of this book presents the ???nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems??? (abbreviation: nth-CASAM-N) for the practical, efficient, and exact computation of arbitrarily-high order sensitivities of responses to model parameters for systems that are also nonlinear in their underlying state functions. Such computations are not feasible with any other methodology. The application of the nth-CASAM-L and the nth-CASAM-N overcomes the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis, thus revolutionizing all of the fields of activities which require accurate computation of response sensitivities. Since this monograph includes many illustrative, fully worked-out, paradigm problems, it can serve as a textbook or as supplementary reading for graduate courses in academic departments in the natural sciences and engineering |
| ISBN,Price | 9783030963644 |
| Keyword(s) | 1. Computational Physics and Simulations
2. COMPUTER SIMULATION
3. EBOOK
4. EBOOK - SPRINGER
5. Energy and state
6. Energy policy
7. Energy Policy, Economics and Management
8. ENGINEERING MATHEMATICS
9. Engineering???Data processing
10. Mathematical and Computational Engineering Applications
11. Mathematical Modeling and Industrial Mathematics
12. MATHEMATICAL MODELS
13. MATHEMATICAL PHYSICS
14. NUCLEAR PHYSICS
15. Statistical Theory and Methods
16. Statistics??
|
| Item Type | Book |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12435 |
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On Shelf |
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