The following seminar will be held at the lecture room K4 on Monday, March 26, 2018 at 9:00. Everyone is cordially invited.

High order numerical methods

for hyperbolic equationsChi-Wang Shu

Division of Applied Mathematics

Brown University

Providence, RI 02912Hyperbolic 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.

In this talk we will survey several types of high order

numerical methods for such problems, including weighted

essentially non-oscillatory (WENO) finite difference and

finite volume methods, discontinuous Galerkin finite element

methods, and spectral methods. We will discuss essential

ingredients, properties and relative advantages of each

method, and provide comparisons among these methods. Recent

development and applications of these methods will also be

discussed.