trapezoidal rule

Summary

trapezoidal rule is an implicit Runge–Kutta method^[1]. It draws 39 Wikipedia views per month (implicit_runge_kutta_method category, ranking #2 of 2).^[2]

Key Facts

• trapezoidal rule's instance of is recorded as implicit Runge–Kutta method^[3].
• trapezoidal rule's instance of is recorded as Adams–Moulton methods^[4].
• trapezoid is named after trapezoidal rule^[5].
• trapezoidal rule's follows is recorded as backward Euler method^[6].
• trapezoidal rule's followed by is recorded as two-step Adams–Moulton method^[7].
• trapezoidal rule's opposite of is recorded as Linear multistep method^[8].
• trapezoidal rule's Freebase ID is recorded as /m/0j65w95^[9].
• trapezoidal rule's has characteristic is recorded as number of steps^[10].
• trapezoidal rule's has characteristic is recorded as order of convergence^[11].
• trapezoidal rule's has characteristic is recorded as number of stages^[12].
• trapezoidal rule's different from is recorded as Heun's method^[13].
• trapezoidal rule's defining formula is recorded as y_{n+1} = y_n + \tfrac12 h \Big( f(t_n,y_n) + f(t_{n+1},y_{n+1}) \Big)^[14].
• trapezoidal rule's maintained by WikiProject is recorded as WikiProject Mathematics^[15].
• trapezoidal rule's Microsoft Academic ID is recorded as 157033734^[16].
• trapezoidal rule's Butcher tableau is recorded as \begin{array}{c|cc}0 & 0& 0\1 & \frac{1}{2}& \frac{1}{2}\ \hline & \frac{1}{2}&\frac{1}{2} \end{array}^[17].

Why It Matters

trapezoidal rule draws 39 Wikipedia views per month (implicit_runge_kutta_method category, ranking #2 of 2).^[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[18] It is known by 4 alternative names across languages and contexts.^[19]