Институт вычислительной математики и математической геофизики СОРАН

Abstracts

Численное решение дифференциальных и интегральных уравнений

In previous author's articles the computation technology was investigated, in which the compact high-order schemes are used inside the homogeneous parts of domains and one-dimensional multi-point approximations with equal accuracy are used in boundary conditions. In the multi-dimensional problems the using of the algorithms has difficulty with the constructing of the sufficiently exact formulas for the special points. They are all angle points on the inside and outside boundaries; the points on the outside boundaries in which there two different adjoining materials and also the points, where three or four materials are found.

In this report we propose the universal calculation formulas for these special points. These formulas represent the closing of the high-accuracy difference method for domains that are from the equally oriented rectangles (multi-dimensional parallelepipeds) compiled.

The work was supported by the Russian Foundation for the Basic Research, grant № 08-01-00264

Note. Abstracts are published in author's edition

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