Abstract This paper is a continuation of [38]. The analysis of the modified partial differential equation (MDE) of the constant-wind-speed linear advection equation explicit difference scheme up to the eighth-order derivatives is presented. In this paper the authors focus on the dissipative features of the Beam–Warming scheme. The modified partial differential equation is presented in the so-called Π-form of the first differential approximation. The most important part of this form includes the coefficients μ (p) at the space derivatives. Analysis of these coefficients provides indications of the nature of the dissipative errors. A fragment of the stencil for determining the modified differential equation for the Beam–Warming scheme is included. The derived and presented coefficients μ (p) as well as the analysis of the dissipative features of this scheme on the basis of these coefficients have not been published so far.

中文翻译：

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Beam-Warming 方法的高阶修正微分方程，II。耗散特性

摘要 本文是[38]的延续。分析了恒风速线性平流方程显式差分格式的修正偏微分方程(MDE)直至八阶导数。在本文中，作者专注于 Beam-Warming 方案的耗散特性。修正的偏微分方程以所谓的一阶微分逼近的 Π 形式表示。这种形式最重要的部分包括空间导数处的系数 μ (p)。这些系数的分析提供了耗散误差性质的指示。包括用于确定 Beam-Warming 方案的修正微分方程的模板片段。