On the line and its tensor products, Fekete points are known to be the Gaussâ€“Lobatto quadrature points. But unlike high-order quadrature, Fekete points generalize to non-tensor-product domains suchâ€¦ (More)

In this paper, we explore the strong rotation limit of the rotating and stratified Boussinesq equations with periodic boundary conditions when the stratification is order 1 ([Rossby number] Ro = !,â€¦ (More)

We present a new algorithm for numerically computing quadrature formulas for arbitrary domains which exactly integrate a given polynomial space. An effective method for constructing quadratureâ€¦ (More)

We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the numberâ€¦ (More)

This paper presents, discusses and analyses a massively parallel-in-time solver for linear oscillatory PDEs, which is a key numerical component for evolving weather, ocean, climate and seismicâ€¦ (More)

Potential vorticity is central to the theory of rotating and stratified flows. For example, in the quasi-geostrophic limit, the potential vorticity determines dynamical quantities of interest such asâ€¦ (More)

With steadily increasing parallelism for highperformance architectures, simulations requiring a good strong scalability are prone to be limited in scalability with standard spatial-decompositionâ€¦ (More)