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.
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© 1988 Springer-Verlag Berlin Heidelberg
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You-lan, Z., Bing-mu, C., Xi-chang, Z., Zuo-min, Z. (1988). Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables. In: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06707-9_1
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DOI: https://doi.org/10.1007/978-3-662-06707-9_1
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