The Nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I: Overcoming the Curse of Dimensionality: Linear Systems
商品資訊
ISBN13：9783030963637
出版社：Springer Nature
作者：Dan Gabriel Cacuci
出版日：2022/06/17
裝訂：精裝
商品簡介
Chapter 1: Introduction and Motivation: Breaking the Curse of Dimensionality in Sensitivity and Uncertainty Analysis
Part A: Function-Valued Responses
Chapter 2: The First- and Second-Order Comprehensive Adjoint Sensitivity Analysis Methodologies for Linear Systems with Function-Valued Responses
2.1. The First-Order Comprehensive Selective Adjoint Sensitivity Analysis Methodology (CS-ASAM-1) for Linear Systems with Function-Valued Responses
2.1.1: CS-ASAM-1 Methodology: Finite-Dimensional (Matrix) Systems
2.1.2: CS-ASAM-1 Methodology: Infinite-Dimensional (Operator) Systems
2.2. The Second-Order Comprehensive Selective Adjoint Sensitivity Analysis Methodology (CS-ASAM-2) for Linear Systems with Function-Valued Responses
2.2.1: CS-ASAM-2 Methodology: Finite-Dimensional (Matrix) Systems
2.2.2: CS-ASAM-2 Methodology: Infinite-Dimensional (Operator) Systems
2.3. The First-Order Comprehensive Kernel Adjoint Sensitivity Analysis Methodology (CK-ASAM-1) for Linear Systems with Function-Valued Responses
2.3.1: CK-ASAM-1 Methodology: Finite-Dimensional (Matrix) Systems
2.3.2: CK-ASAM-1 Methodology: Infinite-Dimensional (Operator) Systems
2.4. The Second-Order Comprehensive Kernel Adjoint Sensitivity Analysis Methodology (CK-ASAM-2) for Linear Systems with Function-Valued Responses
2.4.1: CK-ASAM-2 Methodology: Finite-Dimensional (Matrix) Systems
2.4.2: CK-ASAM-2 Methodology: Infinite-Dimensional (Operator) Systems
Chapter 3: The Third-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-3) for Linear Systems with Function-Valued Responses
3.1. The Third-Order Comprehensive Selective Adjoint Sensitivity Analysis Methodology (CS-ASAM-3) for Linear Systems with Function-Valued Responses
3.1.1: CS-ASAM-3 Methodology: Finite-Dimensional (Matrix) Systems
3.1.2: CS-ASAM-3 Methodology: Infinite-Dimensional (Operator) Systems
3.2. The Third-Order Comprehensive Kernel Adjoint Sensitivity Analysis Methodology (CK-ASAM-3) for Linear Systems with Function-Valued Responses
3.2.1: CK-ASAM-3 Methodology: Finite-Dimensional (Matrix) Systems
3.2.2: CK-ASAM-3 Methodology: Infinite-Dimensional (Operator) Systems
Chapter 4: The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Linear Systems with Function-Valued Responses
4.1. The Fourth-Order Comprehensive Selective Adjoint Sensitivity Analysis Methodology (CS-ASAM-4) for Linear Systems with Function-Valued Responses
4.1.1: CS-ASAM-4 Methodology: Finite-Dimensional (Matrix) Systems
4.1.2: CS-ASAM-4 Methodology: Infinite-Dimensional (Operator) Systems
4.2. The Fourth-Order Comprehensive Kernel Adjoint Sensitivity Analysis Methodology (CK-ASAM-4) for Linear Systems with Function-Valued Responses
4.2.1: CK-ASAM-4 Methodology: Finite-Dimensional (Matrix) Systems
4.2.2: CK-ASAM-4 Methodology: Infinite-Dimensional (Operator) Systems
Chapter 5: The Nth-Order Adjoint Sensitivity Analysis Methodology (C-ASAM-N) for Linear Systems with Function-Valued Responses
5.1. The Arbitrarily-High Nth-Order Comprehensive Selective Adjoint Sensitivity Analysis Methodology (CS-ASAM-N) for Linear Systems with Function-Valued Responses
5.1.1: CS-ASAM-N Methodology: Finite-Dimensional (Matrix) Systems
5.1.2: CS-ASAM-N Methodology: Infinite-Dimensional (Operator) Systems
5.2. The Arbitrarily-High Nth-Order Comprehensive Kernel Adjoint Sensitivity Analysis Methodology (CK-ASAM-N) for Linear Systems with Function-Valued Responses
5.2.1: CK-ASAM-N Methodology: Finite-Dimensional (Matrix) Systems
5.2.2: CK-ASAM-N Methodology: Infinite-Dimensional (Operator) Systems
Part B: Scalar-Valued Responses
Chapter 6: The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Linear Systems with Scalar-Valued Responses
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