FEM_2015
Computational PDE's

FEM_2015 is the home page for the class ISC5935, "Selected Topics: Computational PDE's", a class offered by the Department of Scientific Computing at Florida State University, Spring Session 2015.

This is intended to be a small and informal class. Students taking this class are expected to be able to study independently. The pace, material, and assignments for this course will be adjusted to the needs and interests of the individual students, but a significant amount of work will be expected.

The class is intended to survey:

• the partial differential equations suitable for computation;
• techniques for creating a discrete model of a partial differential equation;
• benchmark problems available for measuring accuracy and efficiency;
• the software tools available to define the geometry;
• interpolatory methods for defining functions based on a discrete set of data
• techniques for creating and storing a sparse system matrix
• direct and iterative algorithms for the linear systems of algebraic equations;
• parallel programming opportunities during the assembly or solution;
• iterative algorithms for the nonlinear systems of algebraic equations;
• explicit and implicit algorithms for systems of ordinary differential equations;
• methods of estimating error and mesh refinement;
• the graphics software and other tools for presenting and analyzing results.

Class stuff:

• papers.html, a list of suggested references.
• syllabus.pdf, the class syllabus
• schedule.html, the class schedule.