V2EX numerical-analysis

Numerical Analysis

释义 Definition

数值分析 / 数值计算:用近似计算算法来解决数学问题(如方程求根、积分、微分方程、线性代数问题等),并研究这些算法的误差、稳定性、收敛性与效率。

发音 Pronunciation (IPA)

/numrkl nlss/

例句 Examples

Numerical analysis helps us approximate solutions that are hard to compute exactly.
数值分析帮助我们近似求解那些难以精确计算的问题。

In numerical analysis, we study how rounding errors and algorithm stability affect the final result.
在数值分析中,我们研究舍入误差和算法稳定性如何影响最终结果。

词源 Etymology

numerical 来自拉丁语 numerus(“数字”);analysis 源自希腊语 analysis(“分解、解析”)。合起来,“numerical analysis”字面意思是“用数字(计算)来做分析”,现代语境中特指用计算方法对数学问题进行近似求解与误差研究的学科。

相关词 Related Words

文学与著作 Notable Works

  • Numerical Analysis(Richard L. Burden & J. Douglas Faires)
  • A First Course in Numerical Analysis(Anthony Ralston & Philip Rabinowitz)
  • Numerical Recipes: The Art of Scientific Computing(William H. Press 等)
  • Accuracy and Stability of Numerical Algorithms(Nicholas J. Higham)
  • An Introduction to Numerical Analysis(Kendall Atkinson)
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