acm.org

Parallel methods for integrating ordinary differential equations

This paper is dedicated to the proposition that, in order to take full advantage for real-time computations of highly parallel computers as can be expected to be available in the near future, much of ...
IEEE

Unified Framework for Evaluating Numerical Integration Methods Through Characteristic Root Distortion in Linear Ordinary Differential Equations

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...
IEEE

An Analysis of Solution of Ordinary Differential Equations by New Form of Numerical Methods

Abstract: Ordinary differential equations are solved numerically in this paper, using a novel method. Various types of numerical methods find vast application in getting the solution of fractional ...
Scientific Research Publishing

Graphical Processing Unit Based Time-Parallel Numerical Method for Ordinary Differential Equations ()

On-line transient stability analysis of a power grid is crucial in determining whether the power grid will traverse to a steady state stable operating point after a disturbance. The transient ...
Scientific Research Publishing

A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods ()

This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...