Description
Book SynopsisInverse 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 cause from an observed effect 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 estimatio
Trade Review
"…serves as a good introduction and tutorial for this important area of applied mathematics. Several of the articles provide extensive MATLAB codes for specific problems."
--James E. Epperson, Mathematical Reviews, 2004
Table of ContentsSequential Methods in Parameter Estimation. Function Estimation Using the Sequential Function Specification Method. Numerical Solutions of Inverse Problems. Mollification and Space Marching. Inverse Heat Conduction Using Monte Carlo Method. Boundary Element Techniques for Inverse Problems. The Effect of Correlations and Uncertain Parameters on the Efficiency of Estimating and the Precision of Estimated Parameters. Optimal Experiment Design to Solve Inverse Heat Transfer Problems. Iterative Regularization
