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...

JSCIC

2010

13 years 1 months ago
2010

In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...

JCAM

2010

13 years 1 months ago
2010

Fornberg and Meyer-Spasche proposed some time ago a simple strategy to correct finite difference schemes in the presence of a free boundary that cuts across a Cartesian grid. We sh...

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Lecture Notes

"These notes were originally prepared during Fall quarter 2003 for UCSD Math 174, Numerical Methods."