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أساليب رونج - كوتا للحل العددي للمعادلة التفاضلية. والتي تأخذ شكل: (ar) Runge–Kutta methods are methods for the numerical solution of the ordinary differential equation Explicit Runge–Kutta methods take the form Stages for implicit methods of s stages take the more general form, with the solution to be found over all s Each method listed on this page is defined by its Butcher tableau, which puts the coefficients of the method in a table as follows: For adaptive and , the Butcher tableau is extended to give values of , and the estimated error is then . (en) ルンゲ＝クッタ法 は、以下の形の常微分方程式の初期値問題の解を数値で近似計算する方法である。 一般的に、ルンゲ＝クッタ法は以下の形で与えられる。 ただし、 以下のリストで記述するすべての計算方法は、それに対応するブッチャー配列で与えられる。ある一つの方法に対する係数をブッチャー配列で以下の形で表す。 また、陽的ルンゲ＝クッタ法に対応するルンゲ＝クッタ行列は狭義の下三角行列であるので上三角成分の表記は省略される。 (ja) 룽게-쿠타 방법은 다음 상미분방정식의 수치해법이다 이 수치해법은 다음의 형태를 가진다. 이 문서에 있는 모든 방법은 다음과 같이 계수를 배열한 Butcher 테이블로 정의하였다: (ko) Métodos de Runge–Kutta são métodos para a solução numérica de equações diferenciais ordinárias tomando a forma Cada um dos métodos listados nesta página são definidos por sua matriz de Butcher, que mostram os coeficientes do método em uma tabela como segue: (pt) |
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أساليب رونج - كوتا للحل العددي للمعادلة التفاضلية. والتي تأخذ شكل: (ar) Runge–Kutta methods are methods for the numerical solution of the ordinary differential equation Explicit Runge–Kutta methods take the form Stages for implicit methods of s stages take the more general form, with the solution to be found over all s Each method listed on this page is defined by its Butcher tableau, which puts the coefficients of the method in a table as follows: For adaptive and , the Butcher tableau is extended to give values of , and the estimated error is then . (en) ルンゲ＝クッタ法 は、以下の形の常微分方程式の初期値問題の解を数値で近似計算する方法である。 一般的に、ルンゲ＝クッタ法は以下の形で与えられる。 ただし、 以下のリストで記述するすべての計算方法は、それに対応するブッチャー配列で与えられる。ある一つの方法に対する係数をブッチャー配列で以下の形で表す。 また、陽的ルンゲ＝クッタ法に対応するルンゲ＝クッタ行列は狭義の下三角行列であるので上三角成分の表記は省略される。 (ja) 룽게-쿠타 방법은 다음 상미분방정식의 수치해법이다 이 수치해법은 다음의 형태를 가진다. 이 문서에 있는 모든 방법은 다음과 같이 계수를 배열한 Butcher 테이블로 정의하였다: (ko) Métodos de Runge–Kutta são métodos para a solução numérica de equações diferenciais ordinárias tomando a forma Cada um dos métodos listados nesta página são definidos por sua matriz de Butcher, que mostram os coeficientes do método em uma tabela como segue: (pt) |
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أساليب رونج-كوتا (ar) List of Runge–Kutta methods (en) 룽게-쿠타 방법의 목록 (ko) ルンゲ＝クッタ法のリスト (ja) Lista de métodos Runge-Kutta (pt) |
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