GitHub

General Algorithm of The Explicit Runge—Kutta Method

This repository contains an algorithm for solving initial value problems (IVPs) using any explicit Runge—Kutta method of any order and for systems of arbitrary dimensionality. Unlike conventional ...
GitHub

General algorithm of the Embedded Runge—Kutta method

Let an initial value problem (IVP) be specified as follows: $$ \dot{\mathbf{x}}=\mathbf{f}\left(t,\mathbf{x}\right),\quad t \in \left[t_0,t_\text{end}\right],\quad ...
IEEE

Genetic Algorithm-Accelerated Optimization for Runge-Kutta Scheme Derivation in High-Dimensional Problems With Hard Constraints

Abstract: The numerical derivation of high-order Extended Stability Runge-Kutta (ERSK) integration schemes presents significant challenges due to the high-dimensional, non-convex, non-linear ...
IEEE

Explicit Two-Derivative Runge-Kutta Methods in the Coarse Operator of Parareal Algorithm for Power System Simulation

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 ...
Scientific Research Publishing

An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations ()

Institute of Mathematics and Computer Science, University of S?o Paulo, S?o Carlos, Brazil. Institute of Physics, University of S?o Paulo, S?o Paulo, Brazil.
Europe PMC

Enhanced Runge-Kutta-driven feature selection model for early detection of gastroesophageal reflux disease.

Gastroesophageal reflux disease (GERD) profoundly compromises the quality of life, with prolonged untreated cases posing a heightened risk of severe complications such as esophageal injury and ...