Numerical Functional Analysis

CS 717



Fundamentals of normed spaces and linear operators; analysis of nonlinear operators; existence of, and iterative methods for, solutions of linear and nonlinear operator equations, error estimation; variational theory and minimization problems; monotonicity theory. Development of abstract tools and application of them to the general analysis of numerical methods for such problems as differential and integral equations. (Infrequently offered.) Prereq: CS 513, CS 514 and Math 234 or consent of instructor.

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