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On the numerical approach to a two-phase Stefan problem with nonlinear flux. (English) Zbl 0612.65084

A multidimensional two-phase Stefan problem is treated. The convergence of some numerical algorithms based on the Crandall-Liggett formula and the non-linear Chernoff formula is studied. Several numerical results which illustrate the theoretical observations are given.
Reviewer: N.Praagman

MSC:

65Z05 Applications to the sciences
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
80A17 Thermodynamics of continua
35R35 Free boundary problems for PDEs
65H10 Numerical computation of solutions to systems of equations
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