This is the second semester of an advanced topics course, for students seeking a more in-depth exposure and practice in state-of-the-art techniques and research topics. (See http://interval.louisiana.edu/courses/655/655-fall-2001-desc.html for a description of the first semester.)

Preliminary goals this semester include

• Completion of projects begun last semester, including submission of papers on applications.
• A study of methods of solution validation for infinite-dimensional problems, including operator equations.
• Mathematical modelling, with an emphasis on formulation of problems in ways to facilitate validation of numerical solutions.
• Solution of particular practical problems.

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