Yu-Jian Jiao

Well-Conditioned Birkhoff-Collocation Methods for Elliptic-type Problems in Multiple Dimensions

Collocation methods based on Birkhoff interpolation at Gaussian-type points are well-conditioned for one-dimensional initial and boundary value problems [Wang et al., {\em SIAM J. Sci. Comput.} 36 (2014)], but the underlying construction does not extend directly to multiple dimensions. We address the long-standing ill-...