Abstract

This chapter is a tutorial that solves a sequence of eleven inverse problems, chosen to span a variety of physical scenarios, inverse theory methods, and solution techniques. They are image enhancement, digital filter design, adjustment of crossover errors, acoustic tomography, heat diffusion, curve fitting under a variety of norms, means of unit vectors, nonlinear curve fitting of spectral peaks, Fourier analysis, earthquake location, and a vibrational eigenfrequency problem. Each problem is systematically developed and solved with MATLAB® and Python. All scripts are available through the book’s companion website.

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