Mathematics Colloquium

Tel Aviv University

Monday, November 14, 2016
12:15–13:10
Schreiber 006
Chi-Wang Shu
Brown University
High order numerical methods for convection dominated problems

Convection dominated partial differential equations are used extensively in applications including fluid dynamics, astrophysics, electro-magnetism, semi-conductor devices, and biological sciences. High order accurate numerical methods are efficient for solving such partial differential equations, however they are difficult to design because solutions may contain discontinuities and other singularities or sharp gradient regions. In this talk we will survey several types of high order numerical methods for such problems, including weighted essentially non-oscillatory (WENO) finite difference methods, WENO finite volume methods, discontinuous Galerkin finite element methods, and spectral methods. We will discuss essential ingredients, properties and relative advantages of each method, and comparisons among these methods. Recent development and applications of these methods will also be discussed.

Colloquium's homepage : www  |  Chi-Wang Shu's homepage : www