Linear problems for systems of difference equations
Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Kenichi Arai, Ken Wakabayashi, Hiroyuki Okazaki (2014)
Formalized Mathematics
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In [11], the definitions of forward difference, backward difference, and central difference as difference operations for functions on R were formalized. However, the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F have not been formalized. In cryptology, these definitions are very important in evaluating the security of cryptographic systems [3], [10]. Differential cryptanalysis [4] that undertakes a general purpose...
Z. Kowalski (1965)
Annales Polonici Mathematici
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Zdzisław Kamont, Karolina Kropielnicka (2012)
Annales Polonici Mathematici
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Initial-boundary value problems of Dirichlet type for parabolic functional differential equations are considered. Explicit difference schemes of Euler type and implicit difference methods are investigated. The following theoretical aspects of the methods are presented. Sufficient conditions for the convergence of approximate solutions are given and comparisons of the methods are presented. It is proved that the assumptions on the regularity of the given functions are the same for both...
Tadeusz Rumak (1972)
Annales Polonici Mathematici
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Janenko, N. N.
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Matus, P., Zyuzina, E. (2001)
Computational Methods in Applied Mathematics
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Goolin, Alexei V., Ionkin, Nikolai I., Morozova, Valentina A. (2001)
Computational Methods in Applied Mathematics
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Jaroslav Janko (1948)
Aktuárské vědy
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Uri Ascher (1985)
Numerische Mathematik
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P.G. Dlamini, M. Khumalo (2017)
Open Mathematics
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This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes and quasilinearization techniques. Previous applications of compact finite difference (FD) schemes when solving parabolic partial differential equations has been solely on discretizing the spatial variables and another numerical technique...