Inverse Engineering Handbook

Inverse Engineering Handbook

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Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a qcauseq from an observed qeffectq is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively simple parameter estimation problems. The question is, where can one find a single, comprehensive resource that details these methods? The answer is the Inverse Engineering Handbook. Leading experts in inverse problems have joined forces to produce the definitive reference that allows readers to understand, implement, and benefit from a variety of problem-solving techniques. Each chapter details a method developed or refined by its contributor, who provides clear explanations, examples, and in many cases, software algorithms. The presentation begins with methods for parameter estimation, which build a bridge to boundary function estimation problems. The techniques addressed include sequential function estimation, mollification, space marching techniques, and adjoint, Monte Carlo, and gradient-based methods. Discussions also cover important experimental aspects, including experiment design and the effects of uncertain parameters. While many of the examples presented focus on heat transfer, the techniques discussed are applicable to a wide range of inverse problems. Anyone interested in inverse problems, regardless of their specialty, will find the Inverse Engineering Handbook to be a unique and invaluable compendium of up-to-date techniques.We have the following estimates for the first term: |(JSG)a#39;(x) a€” (Jag) a#39;(x) = ps(-p3)( g(x, )a€”g(x + p.8))a€“ps(p6)(g(x, )a€”g(x-pAa)) + X (j. #ple-ods) a)- X (i. #pre-oxoa) j=-- aquot; aquot; a#39; j=-- aquot; aquot; a#39; d. alt; - Ax co s alt;2Lip(s)A, # + X. J. #ps(x-s) |g(x)-g(s)|ds j=-- ... Numerical differentiation by discrete mollification Numerical differentiation of inexact data is an ill-posed problem, and the method ... here are presented in Murio et al. (1998). Numerical differentiation has been discussed Chapter four: Mollification andanbsp;...

Title:Inverse Engineering Handbook
Author: Keith A. Woodbury
Publisher:CRC Press - 2002-09-25

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