Name
Abstract | ||
|---|---|---|
On the line and its tensor products, Fekete points are known to be the Gauss--Lobatto quadrature points. But unlike high-order quadrature, Fekete points generalize to non-tensor-product domains such as the triangle. Thus Fekete points might serve as an alternative to the Gauss--Lobatto points for certain applications. In this work we present a new algorithm to compute Fekete points and give results up to degree 19 for the triangle. For degree d 10 these points have the smallest Lebesgue constant currently known. The computations validate a conjecture of Bos [ J. Approx. Theory, 64 (1991), pp. 271--280] that Fekete points along the boundary of the triangle are the one-dimensional Gauss--Lobatto points. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1137/S0036142998337247 | SIAM Journal on Numerical Analysis |
Keywords | Field | DocType |
triangle,Lebesgue constant,Fekete points,multivariate approximation | Tensor product,Lagrange polynomial,Mathematical optimization,Approx,Tensor,Mathematical analysis,Algorithm,Quadrature (mathematics),Conjecture,Lebesgue integration,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
38 | 5 | 0036-1429 |
Citations | PageRank | References |
47 | 9.39 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mark A. Taylor | 1 | 47 | 10.07 |
| Beth A. Wingate | 2 | 104 | 29.66 |
| Rachel E. Vincent | 3 | 47 | 9.39 |