Name
Title | ||
|---|---|---|
The superconvergence of Newton–Cotes rules for the Hadamard finite-part integral on an interval |
Abstract | ||
|---|---|---|
We study the general (composite) Newton–Cotes rules for the computation of Hadamard finite-part integral with the second-order singularity and focus on their pointwise superconvergence phenomenon, i.e., when the singular point coincides with some a priori known point, the convergence rate is higher than what is globally possible. We show that the superconvergence rate of the (composite) Newton–Cotes rules occurs at the zeros of a special function and prove the existence of the superconvergence points. Several numerical examples are provided to validate the theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00211-007-0125-7 | Numerische Mathematik |
Keywords | DocType | Volume |
superconvergence rate,cotes rule,pointwise superconvergence phenomenon,special function,numerical example,singular point,convergence rate,second-order singularity,known point,superconvergence point,second order,special functions | Journal | 109 |
Issue | ISSN | Citations |
1 | 0945-3245 | 23 |
PageRank | References | Authors |
1.97 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiming Wu | 1 | 105 | 14.41 |
| Weiwei Sun | 2 | 154 | 15.12 |