Fast spectral methods for incompressible flows

Yuen Yick Kwan, Purdue University

Abstract

Spectral methods provide an efficient approach to simulate physical problems that require high accuracy. In this dissertation, fast spectral methods are developed for solving differential equations in different domains. Both one-domain and spectral-element type methods are considered. Applications are given to illustrate how the methods developed can be used in the numerical simulation of incompressible flows.

Degree

Ph.D.

Advisors

Shen, Purdue University.

Subject Area

Mathematics

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