Qualifying Exam Syllabus for COMPSCI 520: Numerical Analysis

COMPSCI 520: Numerical Analysis
Qualifying Exam Syllabus

Analysis of analytical truncation errors and architectural rounding errors, and error propagation. 

Numerical methods for solving a system of linear equations, from specially structured systems to factorizations of a general system. 

Approximation and optimization methods, including in particular the least squares approximation and optimization. 

Iterative methods and their analysis, including stationary methods such as the Gauss-Seidel method and non-stationary methods such as the conjugate gradient method. 

Numerical solutions to the diffusion equations of multiple dimensions.

Additional credits may be given to a well-described numerical method to a research problem.

Sample Exams:

• Spring 2018
• Spring 2016
• Spring 2015

 

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