AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) ‘small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented form...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
summary:We illustrate the use of the recent approach by P. Albrecht to the derivation of order condi...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
summary:The purpose of this article is to find the 7th order formulas with rational parameters. The ...
summary:The purpose of this article is to find the 7th order formulas with rational parameters. The ...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractTo derive order conditions for Runge-Kutta methods of Nyström or Fehlberg type, applicable t...
AbstractAmong the most popular methods for the solution of the Initial Value Problem are the Runge–K...
AbstractImprovements over a Runge-Kutta pair of orders six and five are presented in this paper. Met...
AbstractThe eight main contributions of the author to the field of approximate solutions of ordinary...
AbstractFor initial value problems in ordinary second-order differential equations of the special fo...
summary:In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbi...
summary:In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbi...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented form...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
summary:We illustrate the use of the recent approach by P. Albrecht to the derivation of order condi...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
summary:The purpose of this article is to find the 7th order formulas with rational parameters. The ...
summary:The purpose of this article is to find the 7th order formulas with rational parameters. The ...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractTo derive order conditions for Runge-Kutta methods of Nyström or Fehlberg type, applicable t...
AbstractAmong the most popular methods for the solution of the Initial Value Problem are the Runge–K...
AbstractImprovements over a Runge-Kutta pair of orders six and five are presented in this paper. Met...
AbstractThe eight main contributions of the author to the field of approximate solutions of ordinary...
AbstractFor initial value problems in ordinary second-order differential equations of the special fo...
summary:In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbi...
summary:In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbi...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented form...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
summary:We illustrate the use of the recent approach by P. Albrecht to the derivation of order condi...
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