Seminar: Chebyshev nodes in multiple dimensions by PhD candidate Sören Wolfers
Chebyshev nodes are well-known for their near-optimal polynomial interpolation and quadrature properties on intervals. In particular, the associated Lebesgue constant grows only logarithmically, whereas that associated with equispaced nodes grows exponentially. Generalizations of Chebyshev nodes to domains in multiple dimensions have previously been studied on hyper-cubes only. In this talk, we consider more general domains and study the properties of node sets that are similar to Chebyshev nodes in the sense that they are distributed more densely near the boundary of the domain.
About
Class schedule: Tuesday, Sep. 10th, 2015 from 02:30 pm to 04:00 pm
Location: Building 1, Conference Room 4214
Refreshments: Available at 2:15 pm
Abstract
Chebyshev nodes are well-known for their near-optimal polynomial interpolation and quadrature properties on intervals. In particular, the associated Lebesgue constant grows only logarithmically, whereas that associated with equispaced nodes grows exponentially. Generalizations of Chebyshev nodes to domains in multiple dimensions have previously been studied on hyper-cubes only. In this talk, we consider more general domains and study the properties of node sets that are similar to Chebyshev nodes in the sense that they are distributed more densely near the boundary of the domain.
