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单词 Stiff equation
释义

Stiff equation

中文百科

刚性方程

在求解一个刚性常微分方程时，用显式方法出现的不稳定情形
The pink disk shows the stability region for the Euler method.
The pink region is the stability region for the trapezoidal method.

在数学领域中，刚性方程是指一个微分方程，其数值分析的解只有在时间间隔很小时才会稳定，只要时间间隔略大，其解就会不稳定。目前很难去精确地去定义哪些微分方程是刚性方程，然而粗略而言，若此方程序中包含使其快速变动的项，则其为刚性方程。

英语百科

Stiff equation 刚性方程

Explicit numerical methods exhibiting instability when integrating a stiff ordinary differential equation
The pink disk shows the stability region for the Euler method.
The pink region is the stability region for the trapezoidal method.
The pink region is the stability region for the second-order Adams–Bashforth method.

In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms that can lead to rapid variation in the solution.
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更新时间：2025/6/17 8:32:30