In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.We would like to express our deepest appreciation and gratitude to Professor Sergey Khashin of Ivanovo State University who provided us the possibility to coordinate and complete this article
AbstractThe equilibrium theory of Hall and Higham (1988) can be used to determine whether a Runge-Ku...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
AbstractWe examine regions of absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) met...
AbstractWe examine regions of absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) met...
AbstractWe describe the construction of explicit two-step Runge–Kutta methods of order p and stage o...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
AbstractThis paper deals with the numerical properties of Runge–Kutta methods for the solution of u′...
AbstractWe examine absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) methods of ord...
In the solution of non-stiff initial-value problems, sometimes stepsize is restricted by stability r...
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...
AbstractThe equilibrium theory of Hall and Higham (1988) can be used to determine whether a Runge-Ku...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...
In this article, we demonstrate through specific examples that the evolution of the size of the abso...
AbstractWe examine regions of absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) met...
AbstractWe examine regions of absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) met...
AbstractWe describe the construction of explicit two-step Runge–Kutta methods of order p and stage o...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is an...
AbstractThis paper deals with the numerical properties of Runge–Kutta methods for the solution of u′...
AbstractWe examine absolute stability of s-stage explicit Runge-Kutta-Nyström (R-K-N) methods of ord...
In the solution of non-stiff initial-value problems, sometimes stepsize is restricted by stability r...
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...
AbstractThe equilibrium theory of Hall and Higham (1988) can be used to determine whether a Runge-Ku...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...
Classical collocation Runge--Kutta methods are polynomially fitted in the sense that they integrate ...