Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables

Zhu You-lan, Chen Bing-mu, Zhong Xi-chang and Zhang Zuo-min
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Zhu You-lan: Chinese Academy of Sciences, Computing Center
Chen Bing-mu: Chinese Academy of Sciences, Computing Center
Zhong Xi-chang: Chinese Academy of Sciences, Computing Center
Zhang Zuo-min: Chinese Academy of Sciences, Computing Center

Chapter Chapter 1 in Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies, 1988, pp 2-170 from Springer

Abstract: Abstract When discussing numerical methods for hyperbolic systems, it is usual to construct difference schemes and do theoretical analysis only for pure initial-value problems. However, most of the problems which exist in practice are initial-boundary-value problems. When applying the results from the pure initial-value problems (PIVP) to the initial-boundary-value problems (IBVP), difficulties are encountered since we usually do not know how to calculate the bounday points and how to ascertain whether an algorithm for boundary points is reasonable.

Keywords: Difference Scheme; Difference Equation; Boundary Point; Model Problem; Lipschitz Condition (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-3-662-06707-9_1

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