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Fasano, Antonio; Primicerio, Mario

Convergence of Huber’s method for heat conduction problems with change of phase. (English) Zbl 0257.35045

Z. angew. Math. Mech. 53, 341-348 (1973).
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Cited in 6 Documents

MSC:

35K05 Heat equation
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
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References:

[1] and , Difference methods for solving certain boundary value problem of Stefan type, Numerical Methods in Gas Dynamics, Izdat. Moskov. Univ., Moscow 1965, pp. 139–183. (Russian).
[2] and , An iterative difference scheme for the solution of free boundary problems for quasilinear parabolic equations. Solution of Stefan Problem, Moscow, 1970/71, pp. 3–64. (Russian).
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[7] Fasano, Ann. Scuola Norm. Sup. Pisa 26 pp 711– (1972)
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[15] The Stefan Problem. AMS Translations, Vol. 27, Providence, Rhode Island 1971. · Zbl 0219.35043
[16] Sherman, SIAM J. Appl. Math. 20 pp 555– (1971)
[17] Vasil’ev, Vycisl. Mat. i Programm. 8 pp 139– (1967)
[18] On the straight-lines method for the solution of a one-phase Stefan problem. Z. Vycisl. Mat. i Mat. Fiz., pp. 64–78 (1968). (Russian).
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