High order numerical methods for hyperbolic equations

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 equations

Chi-Wang Shu
Division of Applied Mathematics
Brown University
Providence, RI 02912

Hyperbolic 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