Add to ORKGThis paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an analysis of the inherent error
We describe some issues related to the derivation of numerical methods for ordinary differential equ...
AbstractThis paper is concerned with implicit Runge-Kutta methods for the numerical solution of init...
WOS: 000391392300013We introduce an algorithm for a numerical integration of ordinary differential e...
The condition equations are derived by the introduction of a system of equivalent differential equat...
Abstract approved: (J. Davis) A Runge-Kutta method has been developed to minimize the global error i...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(CU-DAMTP-NA--06/1996) / BLD...
introduced the integration method for finding the numerical solution of the initial value problem of...
The term differential-algebraic equation was coined to comprise differential equations with constrai...
The term differential-algebraic equation was coined to comprise differential equations with constrai...
We give an overview of the construction of algebraic conditions for determining the order of Runge-K...
Runge - Kutta method can be used to solve differential equation problem in the form of numerical met...
The goal of this work is to develop, analyse and implement a K-step Implicit Rational Runge-Kutta sc...
AbstractWe investigate the potential for efficient implementation of two-step Runge-Kutta methods (T...
AbstractWe give an overview of the construction of algebraic conditions for determining the order of...
In the present work we study numerical methods for the nu- merical solution of initial value problem...
We describe some issues related to the derivation of numerical methods for ordinary differential equ...
AbstractThis paper is concerned with implicit Runge-Kutta methods for the numerical solution of init...
WOS: 000391392300013We introduce an algorithm for a numerical integration of ordinary differential e...
The condition equations are derived by the introduction of a system of equivalent differential equat...
Abstract approved: (J. Davis) A Runge-Kutta method has been developed to minimize the global error i...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(CU-DAMTP-NA--06/1996) / BLD...
introduced the integration method for finding the numerical solution of the initial value problem of...
The term differential-algebraic equation was coined to comprise differential equations with constrai...
The term differential-algebraic equation was coined to comprise differential equations with constrai...
We give an overview of the construction of algebraic conditions for determining the order of Runge-K...
Runge - Kutta method can be used to solve differential equation problem in the form of numerical met...
The goal of this work is to develop, analyse and implement a K-step Implicit Rational Runge-Kutta sc...
AbstractWe investigate the potential for efficient implementation of two-step Runge-Kutta methods (T...
AbstractWe give an overview of the construction of algebraic conditions for determining the order of...
In the present work we study numerical methods for the nu- merical solution of initial value problem...
We describe some issues related to the derivation of numerical methods for ordinary differential equ...
AbstractThis paper is concerned with implicit Runge-Kutta methods for the numerical solution of init...
WOS: 000391392300013We introduce an algorithm for a numerical integration of ordinary differential e...