Alternating Evolution (ae) Schemes for Hyperbolic Conservation Laws

Abstract

The alternating evolution (AE) system of Liu [27] ∂tu+ ∂xf(v) = 1 (v − u), ∂tv + ∂xf(u) = 1 (u− v), serves as a refined description of systems of hyperbolic conservation laws ∂tφ+ ∂xf(φ) = 0, φ(x, 0) = φ0(x). The solution of conservation laws is precisely captured when two components take the same initial value as φ0, or approached by two components… (More)

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