GitHub

runge_kutta_gills.py

Use the Runge-Kutta-Gill's method of order 4 to solve Ordinary Differential Equations. https://www.geeksforgeeks.org/gills-4th-order-method-to-solve-differential ...
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.
JSTOR Daily

Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence

Mathematics of Computation, Vol. 59, No. 200 (Oct., 1992), pp. 403-420 (18 pages) We apply Runge-Kutta methods to linear partial differential equations of the form u t (x, t) = L (x, ∂)u(x, t) + f(x, ...
GitHub

Optimizing Python with Zig for numerical calculations

This is a repository of the blog post optimizing Python with Zig for numerical calculations with an example using of the 4th Runge Kutta algorithm.
JSTOR Daily

Two-Step Runge-Kutta Methods and Hyperbolic Partial Differential Equations

The purpose of this study is the design of efficient methods for the solution of an ordinary differential system of equations arising from the semidiscretization of a hyperbolic partial differential ...