Claude LeBris to give course in Spring 2017
Claude LeBris (webpage) will be visiting the department in the spring quarter of 2017, and giving a course. Here is the course announcement.
Numerical methods for partial differential equations
Syllabus: This class covers important classes of numerical methods for partial differential equations, notably finite differences and finite element methods. The emphasis is on understanding the accuracy of these methods, with a view on the role they play in today's science and engineering problems. The class is suitable for graduate students from all departments who have affinities with applied mathematics.
Here is a superset of the covered topics:
- Short review of the theory of ODEs and PDEs
- Finite differences approaches: stability, consistency, convergence
- Finite element methods: theory, numerical analysis, implementation
- Some basic numerical approaches for problems with multiple time and/or space scales
- A quick incursion into simulations of equations with random parameters
Prerequisites: Some elementary undergraduate familiarity with ordinary differential equations, partial differential equations, Fourier transforms, and linear algebra including solving systems of equations.
Suggested Reference: Numerical Models for Differential Problems, 2nd edition, by Alfio Quarteroni (ISBN: 978-88-470-5521-6). If you go to Springer's online listing for the book through the UChicago network (either by being on campus, or by using the university web proxy) a PDF of the book is available.