Description

Numerical solution of nonlinear hyperbolic PDEs by finite-volume methods; numerical solution of elliptic PDEs by finite-element methods; introduction to iterative methods for linear systems.

Prerequisites

Permission of the instructor.  Normally, completion of Math 6201 (or equivalent material, including those listed as prerequisites for that course) is expected.

Recommended texts

• Adler, De Sterck, MacLachlan, and Olson, Numerical Partial Differential Equations, SIAM 2025
• Braess, Finite Elements, Cambridge University Press, 2010
• Hesthaven, Numerical Methods for Conservation Laws: From Analysis to Algorithms, SIAM 2018