On the energy estimates of semi-discrete wave equations with time dependent propagation speed

On the energy estimates of semi-discrete wave equations with time dependent propagation speed
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传播速度随时间变化的半离散波动方程的能量估计

DOI:
10.1016/j.jmaa.2020.124798
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发表时间:
2021
影响因子:
1.3
通讯作者:
Fumihiko Hirosawa
Fumihiko Hirosawa
中科院分区:
数学3区
文献类型:
--
作者:
Fumihiko Hirosawa

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Discretization is a fundamental step in numerical analysis for the problems described by differential equations, and the difference between the continuous model and discrete model is one of the most important problems. In this paper, we consider the difference in the effect of the time-dependent propagation speed on the energy estimate of the solutions for the wave equation and the semi-discrete wave equation which is a discretization with respect to space variables.
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