THE NATIONAL ACADEMY OF SCIENCES OF BELARUS

Difference Schemes with Operator Multipliers

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The Institute of Mathematical Simulation of the Russian Academy of Sciences, The Institute of Mathematics of the National Academy of Sciences of Belarus

Samarskii A.A., Vabishchevich P.N., Matus P.P.
Difference Schemes with Operator Multipliers
Minsk. 1998. 442 pages.

In Russian. Hardcover. ISBN 985-6366-13-5

Published by ZAO "COTJ", Minsk, Belarus

In the monograph the new class of difference schemes with operator multipliers is allocated, by which the schemes with variable weight multipliers belong. The theory of stability such two and three layer difference schemes with the nonconjugate operators is developed. On the basis of the received general results the investigation of stability and convergence of various initial-boundary problems for the equations with partial derivatives is carried out. Are under construction adaptive difference schemes with a condensation of grids on time and space. The theoretical analysis regional-additive difference schemes (schemes of decomposition of area), effective computing algorithms, focused on construction, for parallel computing systems will be carried out. The book is designed for the experts in numerical methods of the decision of tasks of mathematical physics, the material is accessible to the students of the senior rates of universities.

Publisher's Mailing Address: 15 Moskovskaya Street, Minsk BY-220001, Republic of Belarus


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