MC 5501 and ZoomÌý
Speaker
Chi-Wang ShuÌý | Theodore B. Stowell University Professor of Applied Mathematics,ÌýBrown University
Title
High order numerical methodsÌýfor hyperbolic equations
Abstract
Hyperbolic equations are used extensively in applicationsÌýincluding fluid dynamics, astrophysics, electro-magnetism,Ìýsemi-conductor devices, and biological sciences. ÌýHigh orderÌýaccurate numerical methods are efficient for solving suchÌýpartial differential equations, however they are difficult
to design because solutions may contain discontinuities.ÌýIn this talk we will survey several types of high orderÌýnumerical methods for such problems, including weightedÌýessentially non-oscillatory (WENO) finite difference and finite volume methods, discontinuous Galerkin finite elementÌýmethods, and spectral methods. ÌýWe will discuss essentialÌýingredients, properties and relative advantages of eachÌýmethod, and provide comparisons among these methods. ÌýRecentÌýdevelopment and applications of these methods will also beÌýdiscussed.
Biography
Professor Chi-Wang Shu obtained his BS degree from the UniversityÌýof Science and Technology of China in 1982 and his PhDÌýdegree from UCLA in 1986. ÌýHe has been at Brown UniversityÌýsince 1987, where he was the Chair of the Division of AppliedÌýMathematics between 1999 and 2005, and is now the Theodore B.ÌýStowell University Professor of Applied Mathematics. ÌýHisÌýresearch interest includes high order numerical methods forÌýsolving hyperbolic and other convection dominated PDEs, withÌýapplications in CFD and other areas. ÌýHe is the Chief Editor ofÌýJournal of Scientific Computing and of Communications onÌýApplied Mathematics and Computation, and serves in the editorialÌýboards of several other journals including Journal of ComputationalÌýPhysics and Mathematics of Computation. ÌýHe is a SIAM Fellow, anÌýAMS Fellow and an AWM Fellow, and an invited 45-minute speakerÌýin the International Congress of Mathematicians (ICM) in 2014.ÌýHe received the First Feng Kang Prize of Scientific Computing inÌý1995, the SIAM/ACM Prize in Computational Science and EngineeringÌýin 2007, and the SIAM John von Neumann Prize in 2021.Ìý