Exponential stability of a general slope limiter scheme for scalar conservation laws subject to a dissipative boundary condition
نویسندگان
چکیده
In this paper, we establish the exponential BV stability of general systems discretized scalar conservation laws with positive speed. The focus is on numerical approximation such using a wide class slope limiter schemes built from upwind monotone flux. proof based Lyapunov analysis taken continuous theory (Coron et al. in J Differ Equ 262(1):1–30, 2017) and careful use Harten formalism.
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ژورنال
عنوان ژورنال: Mathematics of Control, Signals, and Systems
سال: 2021
ISSN: ['0932-4194', '1435-568X']
DOI: https://doi.org/10.1007/s00498-021-00301-2