On the Connection Between the Correction and Weighting Functions in the Correction Procedure via Reconstruction Method

@article{Yu2013OnTC,
  title={On the Connection Between the Correction and Weighting Functions in the Correction Procedure via Reconstruction Method},
  author={Meilin Yu and Zhi Jian Wang},
  journal={J. Sci. Comput.},
  year={2013},
  volume={54},
  pages={227-244}
}
In this note, the connection between the correction and weighting functions for the correction procedure via reconstruction (CPR) method in 1D is addressed. A one-parameter family of weighting functions is constructed from the discontinuous test space. It is found that if the solution polynomials lie in the space P k , then the first k weighting functions… CONTINUE READING