V2EX runge-kutta

RungeKutta

释义 Definition

RungeKutta(龙格库塔)方法:一类用于数值求解常微分方程(ODE)初值问题的算法,通过在一步内多次取样斜率并加权平均来提高精度。最常用的是四阶RungeKutta(RK4)。该术语也可泛指更广泛的“RungeKutta族”方法(含显式与隐式)。

发音 Pronunciation (IPA)

/r kt/

词源 Etymology

该名称来自两位德国数学家:Carl Runge(卡尔龙格)Martin Kutta(马丁库塔)。他们在19世纪末到20世纪初提出并系统化了这类用于微分方程的数值积分方法,因此后人以二人姓氏命名。

例句 Examples

We used the RungeKutta method to approximate the solution of the differential equation.
我们使用龙格库塔方法来近似求解这个微分方程。

To improve stability and accuracy, the simulator integrates the system’s ODEs with a fourth-order RungeKutta scheme and a carefully chosen time step.
为了提高稳定性与精度,该仿真器用四阶龙格库塔格式并配合谨慎选择的时间步长来积分系统的常微分方程。

相关词 Related Words

文学与著作中的出现 Notable Works

  • Numerical Recipes: The Art of Scientific Computing(《数值算法:科学计算的艺术》)
  • An Introduction to Numerical Analysis(Kendall E. Atkinson,《数值分析导论》)
  • Numerical Analysis(Burden & Faires,《数值分析》)
  • Hairer & Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems(《求解常微分方程I:非刚性问题》)
  • M. Kutta (1901) 关于RungeKutta类方法的早期论文;C. Runge (1895) 关于数值解微分方程的经典工作(方法论源头之一)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     5195 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 48ms UTC 05:47 PVG 13:47 LAX 22:47 JFK 01:47
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86