Highly Influenced

# A Stable High-Order Interpolation Scheme for Superconvergent Data

@article{Pruess1996ASH, title={A Stable High-Order Interpolation Scheme for Superconvergent Data}, author={Steven Pruess and Hong Sung Jin}, journal={SIAM J. Scientific Computing}, year={1996}, volume={17}, pages={714-724} }

- Published 1996 in SIAM J. Scientific Computing
DOI:10.1137/S1064827593257481

A local collocation scheme is developed that yields stable high-order accurate interpolants of discrete data arising from the numerical solution of a differential equation. It should prove to be especially attractive for applications where data are superconvergent, e.g., spline collocation at Gauss points. For simplicity, the formulas are initially developed for a scalar equation, but generalizations are later given for systems. Numerical examples are shown that illustrate the stability, even… CONTINUE READING