High order numerical methods for convection dominated problems
讲座名称：
High order numerical methods for convection dominated problems
讲座时间：
2015-07-24
讲座人：
舒其望
形式：
校区：
兴庆校区
实践学分：
讲座内容：
应数学与统计学院的邀请，美国布朗大学舒其望教授将于近期访问我院，并作以下学术报告：
报告题目：High order numerical methods for convection dominated problems
报告时间：2015年7月24日上午10：30
报告地点：理科楼202
报告摘要：
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.
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