English Dictionary

Runge's phenomenon

固有名詞

(mathematics) A problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points.

日本語の意味

数学において、等間隔の補間点を用いて高次の多項式で補間を行った場合に、区間の端部で発生する振動の問題を指す現象。

When interpolating data on evenly spaced points, mathematicians often warn about Runge's phenomenon because it can cause large oscillations near the endpoints of the interval.

等間隔の点でデータを補間する際、数学者はしばしばルンゲ現象（高次多項式補間を等間隔の補間点で行うと区間端付近で振動や大きな誤差が生じる問題）に注意を促します。

意味（1）

(mathematics) A problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points.