## Solution of singular elliptic PDEs on a union of rectangles using sinc methods

Michael H. Hohn

### Abstract

The numerical solution of problems with singularities presents special difficulties for most methods. Adjustments to standard methods are typically made for only a special type of singularity, usually known a priori. The family of sinc numerical methods is natually suited for general singular problems. Here, the methods are extended and applied to two-dimensional, elliptic first-order systems of mixed boundary value problems with singularities of the form $x^{\alpha}$.

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### Key words

elliptic, PDE, sinc methods, singular problems, BVP

### AMS subject classifications

65N35, 65N12, 74R10, 74S25, 74G15, 74G70

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