Publications related to Quadrature (mathematics)

PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA

We consider an optimal control problem (OCP) for a partial differential equation (PDE) with random coefficients. The optimal control function is a deterministic, distributed forcing term that minimizes an expected quadratic regularized loss functional. For ...

2021

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Accuracy of surface integral equation matrix elements in plasmonic calculations

Olivier Martin, Raziman Thottungal Valapu

We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to c ...

Optical Soc Amer2015

Numerical study on the force-deformation behaviour of masonry spandrels with arches

Katrin Beyer, Sujith Mangalathu Sivasubramanian Pillai

This paper presents a numerical study on the force-deformation behaviour of masonry spandrels supported on arches which are analysed using simplified micro models. The model is validated against results from quasi-static cyclic tests on masonry spandrels. ...

Taylor & Francis2014

Local demodulation of holograms using the Riesz transform with application to microscopy

Michaël Unser, Christian Depeursinge, Nicolas Pavillon, Chandra Sekhar Seelamantula

We propose a Riesz transform approach to the demodulation of digital holograms. The Riesz transform is a higher-dimensional extension of the Hilbert transform and is steerable to a desired orientation. Accurate demodulation of the hologram requires a relia ...

Optical Society of America2012

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006