University of Texas at Austin

CSE 393 Topics in Numerical Analysis

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. May be repeated for credit when the topics vary. Some sections are offered on the credit/no credit basis only; these are identified in the Course Schedule.

Recent topics

  • Energy Spaces (Spr 2023)
    Explores an in-depth study of energy spaces present in different variational formulations.
  • Fast Algorithms: Theory and Practice (Spr 2022)
    Explore techniques for rapidly and accurately solving linear algebraic problems that arise ubiquitously in scientific computing and data analysis. Examine iterative methods (Krylov and others), methods based on ffts and other fast transforms, fast multipole methods, multigrid, randomized algorithms, and techniques for sparse matrices.
  • Nonlinear Programming (Fall 2025)