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Publication
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7 years 2 months ago
The Geometry of Time-Stepping
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 ...
Claudio Mattiussi

Publication
338views
7 years 2 months ago
A Reference Discretization Strategy for the Numerical Solution of Physical Field Problems.
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
JSCIC
2010
178views more  JSCIC 2010»
7 years 11 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
JCAM
2010
139views more  JCAM 2010»
7 years 11 months ago
A finite difference method for free boundary problems
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...
Bengt Fornberg

Lecture Notes
4505views
10 years 2 months ago
Numerical Methods Course Notes
"These notes were originally prepared during Fall quarter 2003 for UCSD Math 174, Numerical Methods."
Steven E. Pav
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