Asymptotic-Induced Numerical Methods for Conservation Laws
- ISBN-10
- 1729182739
- ISBN-13
- 9781729182734
- Category
- Science
- Pages
- 30
- Language
- English
- Published
- 2018-10-24
- Publisher
- Independently Published
- Author
- National Aeronautics and Space Adm Nasa
Description
Asymptotic-induced methods are presented for the numerical solution of hyperbolic conservation laws with or without viscosity. The methods consist of multiple stages. The first stage is to obtain a first approximation by using a first-order method, such as the Godunov scheme. Subsequent stages of the method involve solving internal-layer problems identified by using techniques derived via asymptotics. Finally, a residual correction increases the accuracy of the scheme. The method is derived and justified with singular perturbation techniques. Garbey, Marc and Scroggs, Jeffrey S. Unspecified Center NAS1-18605; W-31-109-ENG-38...
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