Sensitivity Uncertainty Analysis Volume 1 Theory 1st Edition by Dan G Cacuci ISBN 1584881151 978-1584881155

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Product details: 

ISBN 10: 1584881151

ISBN 13: 978-1584881155

Author: Dan G Cacuci

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.

Table of contents: 

• Context & Importance:

  • As modeling and simulation tools have evolved, analyzing how outputs respond to changes in inputs (sensitivity analysis) and evaluating how uncertainty in inputs affects results (uncertainty analysis) has become critical.

  • These analyses are no longer just auxiliary steps—they’re now central scientific tools.

• The Gap:

  • Although many existing techniques are well established and documented, there hasn’t been a systematic treatment of methods using adjoint operators.

  • Traditional sensitivity methods, especially from control theory, often have limitations in the types of problems they can handle.

• What This Book Offers:

  • It fills the gap by presenting a framework based on adjoint operators, making it applicable to a wider array of physical problems.

  • It focuses on the mathematics behind ASAP—a powerful method for computing sensitivities efficiently.

  • It also emphasizes how deterministically computed sensitivities (as opposed to probabilistic methods like Monte Carlo) can be leveraged for uncertainty analysis.

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Tags: Dan G Cacuci, Sensitivity Uncertainty, Analysis Volume