Buscar

Estamos realizando la búsqueda. Por favor, espere...

 Detalle_Publicacion

Asymptotically optimal cubature formulas on manifolds for prefixed weights

Abstract: Given a Riemannian manifold X with Riemannian measure ?X and positive weights {?j}j=1N, we study the conditions under which there exist points {xj}j=1N?X so that a cubature formula of the form(1)?XPd?X=?j=1N?jP(xj)holds for all polynomials P of order less than or equal to L. The problem is studied for diffusion polynomials (linear combinations of eigenfunctions of the Laplace?Beltrami operator) in the context of abstract Riemannian manifolds and for algebraic polynomials in the context of algebraic manifolds in Rn.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Journal of Approximation Theory, 2021, 271, 105632

Editorial: Elsevier

 Fecha de publicación: 01/11/2021

Nº de páginas: 24

Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jat.2021.105632

ISSN: 0021-9045,1096-0430

Proyecto español: MTM2017-83816-P

Autores/as

GARIBOLDI, BIANCA

GIGANTE, GIACOMO

PETER, THOMAS