V2EX explicit method

Explicit Method

释义 Definition

“显式方法;显式法”:一种在计算/数值分析中常见的求解思路或算法形式,计算下一步(或未知量)时只依赖已知的当前/先前信息,不需要同时解一个包含未知量的方程组。常见于常微分方程数值积分、差分法、时间推进等。(在不同学科里也可泛指“把关系直接写出并逐步计算的做法”。)

发音 Pronunciation (IPA)

/ksplst mθd/

例句 Examples

The explicit method is easy to implement.
显式方法很容易实现。

For stiff equations, an explicit method may require extremely small time steps to remain stable, so an implicit method is often preferred.
对于刚性方程,显式方法可能需要非常小的时间步才能保持稳定,因此通常更偏向使用隐式方法。

词源 Etymology

explicit 来自拉丁语 explicitus,原意有“展开的、清楚说明的”,引申为“明确的、显式的”。method 来自希腊语 methodosmeta- “追随/沿着” + hodos “道路”),原意是“通向目标的路径/方法”。合起来在技术语境中常指“用已知量直接推进计算的算法方法”。

相关词 Related Words

文学与经典著作 Literary & Notable Works

  • Numerical Recipes: The Art of Scientific Computing(在数值计算章节中对显式/隐式方法与稳定性有讨论)
  • Computational Fluid Dynamics: The Basics with Applications(John D. Anderson Jr.,涉及显式时间推进格式与相关方法)
  • Finite Difference Methods for Ordinary and Partial Differential Equations(Randall J. LeVeque,讨论显式差分格式、稳定性条件等)
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