Discrete Hybrid Polyharmonic Cubature Formulas with weight on the disc. with error bounds
arXiv:1509.00060
Originality Synthesis-oriented
AI Analysis
For researchers in numerical integration, this provides an efficient cubature formula for the disc, though it is an incremental extension of prior work.
The paper completes a study of discrete polyharmonic cubature formulas on the disc, achieving a satisfactory formula with improved precision and fewer evaluation points, quantified by a coefficient of efficiency.
This paper is a second part of our study of the Discrete Polyharmonic Cubature Formulas on the disc. It completes our study and provides a satisfactory cubature formula in terms of precision and number of evaluation points (coefficient of efficiency of the formula).