论文标题

解决AAA算法的拉普拉斯问题

Solving Laplace problems with the AAA algorithm

论文作者

Costa, Stefano

论文摘要

我们提出了最近开发的AAA算法在Laplace 2D问题的解决方案中的新颖应用。还显示了用于共形映射的应用程序作为特定情况。这些类别的问题也通过基于合理函数近似的专用软件实现解决,并具有前所未有的速度和准确性。我们仍然展示了被认为是灵活且独立的方法的AAA算法如何能够在统一框架内解决这些情况。

We present a novel application of the recently developed AAA algorithm to the solution of Laplace 2D problems; an application to conformal mapping is also shown as a particular case. These classes of problems have also been addressed by means of dedicated software implementations based on rational function approximation, with unprecedented speed and accuracy. Still we show how the AAA algorithm, conceived to be a flexible and domain independent method, is capable of addressing these situations within a unified framework.

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