nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I

nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I

Overcoming the Curse of Dimensionality: Linear Systems

Cacuci, Dan Gabriel

Springer Nature Switzerland AG

07/2022

362

Dura

Inglês

9783030963637

15 a 20 dias

729

Descrição não disponível.
Chapter 1. Introduction and Motivation: Breaking the Curse of Dimensionality in Sensitivity and Uncertainty Analysis. Part A: Function-Valued Responses.- Chapter 2. Part A: Function-Valued Responses-The First- and Second-Order Comprehensive Adjoint Sensitivity Analysis Methodologies for Linear Systems with Function-Valued Responses.- Chapter 3. The Third-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-3) for Linear Systems with Function-Valued Responses.- Chapter 4. The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Linear Systems with Function-Valued Responses.- Chapter 5. The Nth-Order Adjoint Sensitivity Analysis Methodology (C-ASAM-N) for Linear Systems with Function-Valued Responses.- Chapter 6. Part B: Scalar-Valued Responses-The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Linear Systems with Scalar-Valued Responses.- Chapter 7. The Nth-Order Adjoint Sensitivity Analysis Methodology(C-ASAM-N) for Linear Systems with Scalar-Valued Responses.
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finite-dimensional (matrix) systems;linear finite-dimensional systems;linear infinite-dimensional systems;diffusion equation;radiation transport;heat conduction and convection;exact first-order response sensitivites;exact second-order sensitivities;exact third-order sensitivities;exact fourth-order sensitivities;exact Nth-order sensitivities;sensitivity analysis for linear systems;uncertainty analysis for linear systems