Abstract
The nature of the Hadamard algorithm is analyzed, and a simple method is outlined for constructing the Hadamard and Predvoditelev algorithms. Generalized conditions which hold at interfaces in transport problems are found.
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H. Hugoniot, J. Ecole Polytechn.,57 (1887);58 (1889).
J. Hadamard, Propagation des Ondes (1903).
A. S. Predvoditelev, History and Methodology of the Natural Sciences, No. 3, Physics [in Russian], MGU (1965).
J. Hadamard, in: Proceedings of the First All-Union Congress of Mathematicians [in Russian], ONTI, Moscow (1936).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 45–51, September, 1970.
In conclusion the author thanks Professor A. S. Predvoditelev, corresponding member of the Academy of Sciences of the USSR, for his inspirational work and instructive advice.
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Vyrodov, I.P. Conditions for the compatibility of processes involving mobile interfaces and the stefan problem. Soviet Physics Journal 13, 1158–1163 (1970). https://doi.org/10.1007/BF01100545
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DOI: https://doi.org/10.1007/BF01100545