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New methods for the sensitivity analysis of black-box functions with an application to sheet metal forming A doctoral Thesis by Jana Fruth

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New methods for the sensitivity analysis of black-box functions with an application to sheet metal forming A doctoral Thesis written by Jana Fruth . This is an other great mathematics book cover the following topics of complex number.

  • 1. Introduction

  • 2. Sensitivity Analysis
    Background, The role of metamodels, Variance-based indices, Definition of various variance-based indices, Monte Carlo estimation, Frequency-based estimation, Derivative-based methods, Morris screening by elementary effects, DGSM, Ongoing developments in sensitivity analysis

  • 3. Sensitivity Analysis for Interaction Screening
    Total interaction indices, TII estimation, Theoretical properties of TII estimators, Estimating the full set of TIIs, Simulation study, Threshold decision, Implementation, Crossed DGSM

  • 4. Sensitivity Analysis for Functional Input
    Sequential functional sensitivity analysis, Error-free test cases, Splitting and design, Implementation, Analytical example

  • 5. Support Analysis
    Support index functions, Analytical example, Expected values

  • 6. Application to a Sheet Metal Forming Process
    Thickness reduction, Functional input application

  • 7. Conclusion and Outlook

  • A Notations

  • B Data

  • Bibliography

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