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IJBC
2008
71views more  IJBC 2008»
13 years 5 months ago
A Numerical Study of Capsizing: Comparing Control Set Analysis and Melnikov's Method
Abstract: Two models for ship roll motion and capsizing under stochastic excitation are analyzed using Melnikov's method and control set analysis. The predictions given by the...
Fritz Colonius, Albert Marquardt, Edwin Kreuzer, W...
AMC
2006
94views more  AMC 2006»
13 years 5 months ago
Error analysis of a specialized numerical method for mathematical models from neuroscience
The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience a...
Jiyeon Oh, Donald A. French

Lecture Notes
4505views
15 years 3 months ago
Numerical Methods Course Notes
"These notes were originally prepared during Fall quarter 2003 for UCSD Math 174, Numerical Methods."
Steven E. Pav