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AN ALGORITHM OF SOLVING LINEAR DIFFERENCE EQUATION SYSTEMS ON REFINED GRID CELLS

A. M. Stenin
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.1. С. 3-16.

The paper presents an algorithm of solving linear difference equation systems on adaptively refined grid cells, which is based on the method used to solve linear algebraic equation systems on graphs and allows paralleling computations. The algorithm of the method is described as applied to the difference splitting scheme for solving the 3D heat conduction equation, however, it can be used to solve equations describing some other physical processes on refined spatial grids, as well.

Keywords: three-dimensional heat conduction, difference splitting schemes, refined grids, linear difference equations on graphs, paralleling of the sweep.








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