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Keywords:
large system; decomposition; block iterative algorithm; differential algebraic eqautions; splitting technique; partial orderings; nonlinear operator; complete metric space; fixed point equation; convergence; uniform contraction
large system; decomposition; block iterative algorithm; differential algebraic eqautions; splitting technique; partial orderings; nonlinear operator; complete metric space; fixed point equation; convergence; uniform contraction
Summary:
In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
References:
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