Summary
The inverse Stefan problem can be understood as a problem of nonlinear approximation theory which we solved numerically by a generalized Gauss-Newton method introduced by Osborne and Watson [19]. Under some assumptions on the parameter space we prove its quadratic convergence and demonstrate its high efficiency by three numerical examples.
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Jochum, P. The numerical solution of the inverse Stefan problem. Numer. Math. 34, 411–429 (1980). https://doi.org/10.1007/BF01403678
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DOI: https://doi.org/10.1007/BF01403678