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Research in inverse problems has grown significantly in recent years, and engineers no longer have only trial-and-error methods at their disposal. For this handbook, leading experts joined forces to produce a definitive reference that allows readers to understand and implement a variety of problem-solving techniques. Each chapter details a different method with clear explanations, examples, and in many cases, software algorithms. The techniques addressed include sequential function estimation, mollification, space marching techniques, and adjoint, Monte Carlo, and gradient-based methods. Discussions also cover experiment design and the effects of uncertain parameters.