(Q7835583)

English

trapezoidal rule

implicit one-step numerical method for solving differential equations

one-step Adams–Moulton method

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Statements

instance of

implicit Runge–Kutta method

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Adams–Moulton methods

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named after

trapezoid

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follows

backward Euler method

criterion used

number of steps

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followed by

two-step Adams–Moulton method

criterion used

number of steps

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defining formula

y_{n+1}=y_{n}+{\tfrac {1}{2}}h{\Big (}f(t_{n},y_{n})+f(t_{n+1},y_{n+1}){\Big )}

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has characteristic

number of steps

quantity

1

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2

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number of stages

quantity

2

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maintained by WikiProject

WikiProject Mathematics

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Butcher tableau

{\begin{array}{c|cc}0&0&0\\1&{\frac {1}{2}}&{\frac {1}{2}}\\\hline &{\frac {1}{2}}&{\frac {1}{2}}\end{array}}

1 reference

imported from Wikimedia project

English Wikipedia

opposite of

second-order Adams–Bashforth method

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different from

Heun's method

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Identifiers

Freebase ID

/m/0j65w95

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Microsoft Academic ID

157033734

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Sitelinks

Wikipedia(6 entries)

dewiki Trapez-Methode
enwiki Trapezoidal rule (differential equations)
eswiki Regla trapezoidal (ecuaciones diferenciales)
kowiki 사다리꼴 공식 (미분방정식)
ptwiki Regra dos trapézios (equações diferenciais)
zhwiki 梯形法则 (微分方程)

(Q7835583)

trapezoidal rule

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Identifiers

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Wikipedia(6 entries)

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