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Solving the Generalized Poisson Equation in Proper and Directed Interval Arithmetic
In the paper some interval methods for solving the generalized Poisson equation (GPE) are presented. The main aim of this work is focused on providing such algorithms for solving this type of equation that are able to store information about potentially made numerical errors inside the results. I ...
Solving the Poisson Equation by an Interval Difference Method of the Second Order
The paper deals with an interval difference method for solving the Poisson equation based on the conventional central-difference method. We present the interval method in full details. The method is constructed in such a way that the exact solution is included in the interval solution obtained. S ...