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Article information
2000 , Volume 5, ¹ 1, p.93-105
Paasonen V.I.
High-order boundary conditions in poles of coordinate systems
The method of setting the improved difference boundary conditions in poles (in points of singularities) of polar, cylindrical and spherical coordinates is developed, with the purpose of their application in high-order schemes for symmetric and nonsymmetrical boundary value problems. Difference equations in poles representing special approximations of differential equations in Cartesian coordinates, fitted with an order of accuracy and simplifications under the form are obtained. The problem on the realization of boundary conditions in the implicit schemes of an approximate factorization and in iterative processes is investigated.
[full text] Classificator Msc2000:- *76M20 Finite difference methods
Keywords: nonsymmetric boundary value problem, symmetric boundary value problems, difference boundary conditions, singular points, high-order schemes, implicit schemes, approximate factorization, iterative processes
Author(s):
Paasonen Viktor Ivanovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: paas@ict.nsc.ru
Bibliography link:
Paasonen V.I. High-order boundary conditions in poles of coordinate systems // Computational technologies. 2000. V. 5. ¹ 1. P. 93-105
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