The stability of operator-difference schemes
نویسندگان
چکیده
منابع مشابه
On the Stability of Certain Difference Schemes*
The von Neumann stabil i ty criterion is employed in analyzing the stabili ty of a class of difference schemes for initial-value problems involving linear parabolic partial differential equations, u t = A u. I t is shown that , cont rary to the usual rule of thumb, there exist completely implicit difference schemes which are uncondit ionally unstable. Further , it is shown that the stabili ty p...
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Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and associated with the transition to a new time level on the basis of the solution of more simple problems for the individual operators in the additive decomposition. We consider a new class of additive schemes for problems with a...
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In this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. Suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $E_k(1, f^{n}(z)f(z+c))=E_k(1, g^{n}(z)g(z+c))$. Then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1968
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1968.103153