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.
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