Several applications of the QR-AAA algorithm, a greedy scheme for vector-valued rational approximation, are presented. The focus is on demonstrating the flexibility and practical effectiveness of QR-AAA in a variety of computational settings, including Stokes flow computation, multivariate rational approximation, function extension, the development of novel quadrature methods and near-field approximation in the boundary element method.
翻译:本文介绍了QR-AAA算法(一种向量值有理逼近的贪婪算法)的若干应用。重点展示了QR-AAA算法在不同计算场景中的灵活性和实际有效性,包括斯托克斯流计算、多元有理逼近、函数延拓、新型求积方法的开发以及边界元法中的近场逼近。