Y.R. Ashrafova
On one method of block transfer of conditions for a system of three-step discrete processes connected only by boundary conditions
The author considers a complex discrete process consisting of a large number of independent subprocesses that are interconnected only by boundary states. The state of the process is described by systems of linear three-step difference block structure equations. Schemes and appropriate formulas based on the idea of a block transfer of conditions that take into account the specifics of the Jacobian of the system and the weakness of the Jacobian matrix of the conditions of relationship between the subsystems are proposed. The results of numerical experiments obtained in solving the test problem are presented.
Keywords: Discrete process, Linear algebraic equation, Block structure system, High dimensionality, Non-separated conditions
On one method of block transfer of conditions for a system of three-step discrete processes connected only by boundary conditions
The author considers a complex discrete process consisting of a large number of independent subprocesses that are interconnected only by boundary states. The state of the process is described by systems of linear three-step difference block structure equations. Schemes and appropriate formulas based on the idea of a block transfer of conditions that take into account the specifics of the Jacobian of the system and the weakness of the Jacobian matrix of the conditions of relationship between the subsystems are proposed. The results of numerical experiments obtained in solving the test problem are presented.
Keywords: Discrete process, Linear algebraic equation, Block structure system, High dimensionality, Non-separated conditions