Publication
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
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Publication
I. Introduction
II. Foundations
A. The Mathematical Structure of Physical Field Theories
B. Geometric Objects and Orientation
1. Space-Time Object...
Publication
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Publication
I. Introduction
II. Foundations
A. The Mathematical Structure of Physical Field Theories
B. Geometric Objects and Orientation
1. Space-Time Object...
ICASSP
2011
IEEE
13 years 4 months ago
2011
IEEE
In seeking to model realistic room acoustics, direct numerical simulation can be employed. This paper presents 3D Finite Difference Time Domain schemes that incorporate losses at ...
MCM
2010
13 years 7 months ago
2010
We consider the electromagnetic detection of hidden moving or oscillating conductive targets. The resulting mathematical problem involves computation of a Doppler shift for an ele...
ICPP
2009
IEEE
14 years 7 months ago
2009
IEEE
—This paper reports a study of mapping the Finite Difference Time Domain (FDTD) application to the IBM Cyclops64 (C64) many-core chip architecture [1]. C64 is chosen for this stu...