“Nyström methods”的概念、定义、翻译、参考文献-科学参考

Nyström methods

Computer

A class of Runge–Kutta methods directly applicable to second-order equations of the form
$\begin{array}{l} y ” = f (x, y, y'), a \leq x \leq b, \\ y (a) = y_{0}, y' (a) = y_{0}' \end{array}$
without requiring a reduction to first-order systems (see ordinary differential equations). Extrapolation methods and linear multistep methods of this direct type have also been developed. Such methods can be particularly advantageous for equations of the type y″ = f(x,y), where y′ does not appear explicitly.

单词	Nyström methods
释义	Nyström methods Computer A class of Runge–Kutta methods directly applicable to second-order equations of the form $\begin{array}{l} y ” = f (x, y, y'), a \leq x \leq b, \\ y (a) = y_{0}, y' (a) = y_{0}' \end{array}$ without requiring a reduction to first-order systems (see ordinary differential equations). Extrapolation methods and linear multistep methods of this direct type have also been developed. Such methods can be particularly advantageous for equations of the type y″ = f(x,y), where y′ does not appear explicitly.
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