CSE X93 CSE 393 Topics in Numerical Analysis 3 Hours
3 Lecture Hours 0 Lab Hours
Advanced topics in the theory and application of numerical analysis. Recent topics include numerical methods for partial differential equations, computational problems in linear algebra, iterative methods and fast algorithms, numerical methods in functional approximation, and computational and variational methods for inverse problems. Three lecture hours a week for one semester.
Pre/Corequisites: Graduate standing and consent of instructor.
Grading: Student Option
Repeatable for credit: May be repeated for credit when the topics vary.
Academic Level: Doctoral
Topic 1: The Finite Element Method. Examine introductory concepts such as weighted residual methods; strong and weak forms; boundary conditions; global v. local basis functions; error estimates; smooth and nonsmooth problems; one-dimensional second- and fourth-order problems; two-dimensional potential and plate problems; two-dimensional and three-dimensional elasticity; dynamic and eigenvalue problems; numerical, computational, and meshing issues; applications using commercial software. Computational Science, Engineering, and Mathematics 393 (Topic: The Finite Element Method) and 393 (Topic 1) may not both be counted.