A Cautionary Tale in Numerical PDEs

Susanne C. Brenner 
Louisiana State University 

Ninth Annual AWM-SIAM Kovalevsky Lecture
July 18, 2011

Vancouver, BC, Canada

Abstract. There are numerical methods for partial differential equations that produce wrong solutions in spite of the fact that one can prove convergence results for these methods and furthermore confirm these results by numerical experiments. In this talk, Dr. Brenner will examine some examples and discuss how the pitfalls of such methods can be avoided.