Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods
SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 22-47 (26 pages) We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to ...
This project provides Python implementations to numerically solve two ordinary differential equations (ODEs) using explicit Runge-Kutta (RK) methods of the 2nd and 4th orders. The solutions are ...
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
Explicit Runge-Kutta methods (RKMs) are among the most popular classes of formulas for the approximate numerical integration of nonstiff, initial value problems. However, high-order Runge-Kutta ...
A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and fourth orders ...
This repository contains simulations of dynamic systems using the Runge-Kutta numerical method to solve the system of differential equations governing the dynamics of various mechanical systems. These ...
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