Allows readers to understand, implement, and benefit from a variety of inverse problem-solving techniques. This book addresses techniques such as sequential function estimation, mollification, space marching techniques, and adjoint, Monte Carlo, and gradient-based methods.
Research in inverse problems have grown significantly over the last 40 years, and engineers no longer have only trial-and-errors methods at their disposal for solving some of their most challenging questions. This handbook brings together a variety of techniques for solving inverse problems, presented by experts in a succinct form suitable for implementation into computer algorithms. It introduces the material with methods for parameter estimation problems, which builds a bridge to the boundary function estimation problem. The methods include sequential function estimation, mollification and space marching techniques, adjoint methods, and gradient-based solution methods.
"?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