GitHub

runge-kutta-methods

The optimization field suffers from the metaphor-based “pseudo-novel” or “fancy” optimizers. Most of these cliché methods mimic animals' searching trends and possess a small contribution to the ...
Scientific Research Publishing

E. Fehlberg, “Low-Order Classical Runge-Kutta Formulas with Step Size Control and Their ...

ABSTRACT: We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric ...
IEEE

Explicit Runge-Kutta Methods with an Extended Stability Region: Accuracy Analysis and ...

Abstract: An explicit Runge-Kutta (RK) method with an extended stability region (ESR) can be constructed based on an RK method with a stability function corresponding to the Taylor series for the ...
IEEE

100 years of the Runge-Kutta method: a brief editing for schools

Abstract: This paper reports on the historical development of the Runge-Kutta methods beginning with the simple Euler method up to an embedded 13-stage method ...
Scientific Research Publishing

Butcher, J.C. (1964) On Runge-Kutta Processes of High Order. Journal of the Australian ...

ABSTRACT: This paper is describing in detail the way we define the equations which give the formulas in the methods Runge-Kutta 6th order 7 stages with the incorporated control step size in the ...
note

＜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 ...