GitHub

Runge-Kutta Compute Shader

This project demonstrates GPU-accelerated numerical integration using WebGPU and the Runge-Kutta method. It solves the Lorenz attractor system, a classic example of chaotic dynamics, to showcase how ...
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

Modified Fourth-Order Runge-Kutta Method Based on Trapezoid Approach

Abstract: This paper analyzes the modification of fourth order Runge-Kutta Method based on Trapezoid approach for calculating a distance of accelerometer sensor. This modification is done to obtain ...
JSTOR Daily

Complete Algebraic Characterization of A-Stable Runge-Kutta Methods

Important stability concepts for Runge-Kutta methods are I-, A-, and B-stability. For these properties there exist very similar algebraic characterizations. The characterization of B-stability is ...
JSTOR Daily

THE MINIMAL STAGE, ENERGY PRESERVING RUNGE–KUTTA METHOD FOR POLYNOMIAL HAMILTONIAN SYSTEMS IS THE AVERAGED VECTOR FIELD METHOD

This is a preview. Log in through your library . Abstract No Runge–Kutta method can be energy preserving for all Hamiltonian systems. But for problems in which the Hamiltonian is a polynomial, the ...
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 ...