THEORY OF SOME GENERALIZATIONS OF THE RUN METHOD FOR NET BOUNDARY PROBLEMS

Abstract

Two-, three- and multipoint net equations are considered in the paper aiming at the construction, substantiation and investigation of calculation algorithms, based on unitary and orthogonal transformations. As a result new classes of calculation algorithms of the run method for net boundary problems, having the general form and arbitrary order, have been constructed and investigated. Numerical calculations for the solution of some applied and model problems with the use of the developed algorithms of orthogonal and unitary difference runs have been held. The paper results may find their field of application in numerical methods for the solution of net boundary problemsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio