ON THE PEAK SPREADING CORRECTION IN GPC Ⅰ. THE PROPERTIES OP TUNG'S EQUATION AND THE METHOD OF FINDING THE STABLE SOLUTION IN NUMERICAL CALCULATION

Chen Yi-hong

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ON THE PEAK SPREADING CORRECTION IN GPC Ⅰ. THE PROPERTIES OP TUNG'S EQUATION AND THE METHOD OF FINDING THE STABLE SOLUTION IN NUMERICAL CALCULATION

Research Article | 更新时间：2021-03-19

- ON THE PEAK SPREADING CORRECTION IN GPC Ⅰ. THE PROPERTIES OP TUNG'S EQUATION AND THE METHOD OF FINDING THE STABLE SOLUTION IN NUMERICAL CALCULATION
- Acta Polymerica Sinica Issue 4, Pages: 219-225(1980)
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- Published：20 August 1980，
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Chen Yi-hong. ON THE PEAK SPREADING CORRECTION IN GPC Ⅰ. THE PROPERTIES OP TUNG'S EQUATION AND THE METHOD OF FINDING THE STABLE SOLUTION IN NUMERICAL CALCULATION. [J]. Acta Polymerica Sinica (4):219-225(1980)
DOI：

Chen Yi-hong. ON THE PEAK SPREADING CORRECTION IN GPC Ⅰ. THE PROPERTIES OP TUNG'S EQUATION AND THE METHOD OF FINDING THE STABLE SOLUTION IN NUMERICAL CALCULATION. [J]. Acta Polymerica Sinica (4):219-225(1980) DOI：

摘要

本文介绍了 Tung方程的性质

证明了当峰加宽函数 G(x

y)是一δ-函数时

Tung方程的稳定解是存在的。由数值计算方法建立了条件数 K(G)与h·△y的关系

这里h是柱加宽因子

△y是计算间隔。最后建议一种在数值计算中寻求Tung方程稳定解的方法。

Abstract

The properties of Tung's equation are described in this paper.It is proved that the stable solution of Tung's equation is existential if peak spreading function G(x

y) is delta function. A relation between K(G) and h ?△y is constructed by the method of Jacobi rotational transformation

where K(G) is the condition number of Tung's equation for discretization; h the resolution factor and Ay the computational interval.Finally

a method of finding stable solution for Tung's equation is suggested.

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