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 ...
note

Runge-Kutta法についてのちょっとした解説

常微分方程式の初期値問題の数値計算において、比較的実装ロジックが単純である割に高精度である4段4次精度陽的Runge-Kutta法(RK4)が使われるケースが多い。基礎的なEuler法から始め、2～4段の陽的Runnge-Kutta法について、一般的なパラメータの条件を導出までを ...
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 ...
GitHub

runge-kutta-methods

YASK--Yet Another Stencil Kit: a domain-specific language and framework to create high-performance stencil code for implementing finite-difference methods and similar applications.
IEEE

Explicit Two-Derivative Runge-Kutta Methods in the Coarse Operator of Parareal Algorithm ...

Abstract: The objective of this work is to speed up dynamic simulation of large interconnected power system. Parareal algorithm achieves faster dynamic simulation by, decomposing the time domain into ...
Oak Ridge National Lab

Fully Implicit Runge-Kutta Methods for Time-Dependent Partial Differential Equations

Finite element methods provide a robust, mature family of discretizations for partial differential equations, as they provide rigorous theory, general geometry, and fast solvers. Modern trends in ...
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 ...