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MAtlab Maxima

Tuesday, October 20, 2009. 多项式插值一般在2-5次为宜最多不超过67次也就是说在节点数很多的时候最好将它们分组分段对每段则分别用低次多项式插值这样效果比较接近真实片面的追求高次多项式将不会得到好结果 一个著名的例子是Runge给的他是Weierstruss在Berlin的学生也是F. Klein在Gottingen的同事 用于模拟常微分方程的解的重要的一类迭代法龙格库塔法Runge-Kutta是由他和Kutta共同发明的月球上的Runge陨石坑 Runge crater 以他命名 在-11内取n 1在这里取n10个等距节点做n次牛顿插值的结果如下. 其中红线为插值结果黑线为被插值的函数可以看出在-.2.2区间内插值结果很好但随着区域的扩大出现了很大的偏差特别是在-11两点附近插值多项式基本不能描述被插函数 X node -1.21;. Y node 1.1 25.x node.x node;. A mynewtonCoeffx node,y node;.

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Tuesday, October 20, 2009. 多项式插值一般在2-5次为宜最多不超过67次也就是说在节点数很多的时候最好将它们分组分段对每段则分别用低次多项式插值这样效果比较接近真实片面的追求高次多项式将不会得到好结果 一个著名的例子是Runge给的他是Weierstruss在Berlin的学生也是F. Klein在Gottingen的同事 用于模拟常微分方程的解的重要的一类迭代法龙格库塔法Runge-Kutta是由他和Kutta共同发明的月球上的Runge陨石坑 Runge crater 以他命名 在-11内取n 1在这里取n10个等距节点做n次牛顿插值的结果如下. 其中红线为插值结果黑线为被插值的函数可以看出在-.2.2区间内插值结果很好但随着区域的扩大出现了很大的偏差特别是在-11两点附近插值多项式基本不能描述被插函数 X node -1.21;. Y node 1.1 25.x node.x node;. A mynewtonCoeffx node,y node;.

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This web page matlabtips.blogspot.com states the following, "Tuesday, October 20, 2009." We saw that the webpage said " Klein在Gottingen的同事 用于模拟常微分方程的解的重要的一类迭代法龙格库塔法Runge-Kutta是由他和Kutta共同发明的月球上的Runge陨石坑 Runge crater 以他命名 在-11内取n 1在这里取n10个等距节点做n次牛顿插值的结果如下." It also said " A mynewtonCoeffx node,y node;."

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