A number of different multiscale methods have been developed as a robust alternative to upscaling and as a means for accelerated reservoir simulation of high-resolution geomodels. In their basic setup, multiscale methods ...

We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie–Butcher ...

A malware author constructing malware wishes to infect a specific location in the network. The author will then infect n initial nodes with n different variations of his malicious code. The malware continues to infect ...

With the increased feasibility of harvesting offshore wind energy, scale of wind turbines is growing rapidly and there is a trend towards clustering together higher number of turbines in order to harvest maximum yield and ...

We address the issue of angular measure, which is a contested issue for the International System of Units (SI).We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional ...

Highlights • A posteriori error estimation methodology for adaptive isogeometric analysis using LR B-splines is developed. • Superconvergent patch recovery of gradient field on adaptive meshes is developed. • Algorithm for ...