caa a22 4500 378914200 CHVBK 20180305123549.0 cr unu---uuuuu 161128e20040201xx s 000 0 eng 10.1515/156939804322802594 doi (NATIONALLICENCE)gruyter-10.1515/156939804322802594 Paasonen V. I. Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia Compact difference schemes for inhomogeneous boundary value problems [Elektronische Daten] [V. I. Paasonen] In this paper, we investigate the method of the numerical solution of boundary value problems in inhomogeneous domains composed of homogeneous multidimensional parallelepipeds. The method is the symbiosis of high-order difference schemes in homogeneous subdomains and multipoint one-dimensional boundary conditions at interfaces.Due to splitting, the boundary value problem reduces to systems of linear algebraic equations with matrices different from a tridiagonal matrix by the availability of separate 'long' rows with more than three nonzero elements. Two algorithms are investigated to solve these systems. The first algorithm is based on the immediate transformation of the system of equations to a tridiagonal form. The second one is a generalization of the known sweep parallelizing method. Copyright 2004, Walter de Gruyter Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/1(2004-02-01), 65-81 0927-6467 19:1<65 2004 19 rnam https://doi.org/10.1515/156939804322802594 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939804322802594 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Paasonen V. I. Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/1(2004-02-01), 65-81 0927-6467 19:1<65 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter