Arbitrary Multi-way Parallel Mathematical Operations Based on Planar Discrete Metamaterials

A mathematical formalization of data parallel operations

We give a mathematical formalization of ‘generalized data parallel’ operations, a concept that covers such common scientific kernels as matrix-vector multiplication, multi-grid coarsening, load distribution, and many more. We show that from a compact specification such computational aspects as MPI messages or task dependencies can be automatically derived.

A Mathematical Framework for Parallel Computing of Discrete-Time Discrete-Frequency Transforms in Multi-Core Processors

This paper presents a mathematical framework for a family of discrete-time discrete-frequency transforms in terms of matrix signal algebra. The matrix signal algebra is a mathematics environment composed of a signal space, a finite dimensional linear operators and special matrices where algebraic methods are used to generate these signal transforms as computational estimators. The matrix signal...

Reduction Operations in Parallel Discrete Event Simulations

..................................................................................................... iii Acknowledgments ...................................................................................... iv Dedication ................................................................................................... vi Table of

Reduction Operations in Parallel Discrete Event Simulations

Asymmetric planar terahertz metamaterials.

We report an experimental observation of three distinct resonances in split ring resonators (SRRs) for both vertical and horizontal electric field polarizations at normal incidence by use of terahertz time-domain spectroscopy. Breaking the symmetry in SRRs by gradually displacing the capacitive gap from the centre towards the corner of the ring allows for an 85% modulation of the fundamental in...