The paper analyzes the preservation of asymptotic properties and relaxation limits when transitioning from the continuous setting of partially dissipative hyperbolic systems to a discrete numerical framework. The key findings are:
Asymptotic-preserving property:
Relaxation-preserving property:
The authors develop a refined frequency-based functional framework to handle the stiff relaxation procedures for hyperbolic systems in the discrete setting. The results demonstrate the ability of the central finite-difference scheme to effectively capture the hypocoercive and relaxation properties inherent to partially dissipative hyperbolic systems.
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by Timo... lúc arxiv.org 04-10-2024
https://arxiv.org/pdf/2404.06380.pdfYêu cầu sâu hơn