Solution of the time discretized Stefan problem by Newton’s method. (English) Zbl 0709.65107
The authors discuss the problem arising by applying Newton’s method to the time discretized Stefan problem. Both global and local convergence theorems of the method are given. To illustrate the convergence behavior, the authors also give some numerical examples.
Reviewer: Meng-Zhao Qin
MSC:
| 65Z05 | Applications to the sciences |
| 65M20 | Method of lines for initial value and initial-boundary value problems involving PDEs |
| 65H10 | Numerical computation of solutions to systems of equations |
| 35R35 | Free boundary problems for PDEs |
| 35K05 | Heat equation |
| 80A22 | Stefan problems, phase changes, etc. |
Keywords:
global convergence; Newton’s method; time discretized Stefan problem; local convergence; numerical examplesReferences:
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