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＜学習シリーズ＞常微分方程式の解法：Runge-Kutta法をPythonで学ぶ

本記事は”学習シリーズ”として自分の勉強備忘録用になります。 常微分方程式の解法として下記手法がありますが、今回はRunge-Kutta法を説明します。 Euler法：最もシンプルだが計算精度は低い Leap-Frog法：Euler法の時間単位を分割することで精度をあげ ...
Simon Fraser University

Jim Verner's Refuge for Runge-Kutta Pairs

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...
IEEE

Simple, Efficient, and Switchable Perfectly Matched Layer Based on Runge-Kutta Method

Abstract: A novel complex frequency-shifted (CFS) perfectly matched layer (PML) algorithm based on the Runge-Kutta method is proposed, termed the RK-iPML. The “i” in RK-iPML signifies that the ...
IEEE

Intelligent Inductive Modelling for Dynamic Fuel Efficiency Based on Runge-Kutta Modified ...

Abstract: A dynamic mathematical model for helicopter turboshaft engines’ fuel consumption is proposed, relying on parameters like fuel temperature, combustion chamber pressure and temperature, fuel ...