Add to ORKGABSTRACT. In this paper, the results of the first detailed and systematic study of the family of fifth order implicit linear multistep methods requiring function evaluations at four backpoints are given. Also described is a practi-cal and efficient nonlinear optimization procedure which made it possible to locate in a precise manner the methods of this type which possess optimal ranges of relative stability in the sense-that the corresponding relative stability regions contain maximal disks centered at the origin. KEY WORDS AND PHRASES. Line mtep mhods, numerical solution of ordiy diffe eq, rive stability
AbstractThe stability regions of linear multistep methods for pure delay equations are compared with...
We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK)method whic...
Recently, Chawla et al. [1] have obtained a one-parameter family of double-stride L-stable methods o...
ABSTRACT. In this paper, the results of the first detailed and systematic study of the family of fif...
. We describe the construction of diagonally implicit multistage integration methods of order and st...
This paper deals with the numerical solution of systems of differential equations with a stiff part ...
AbstractThis paper derives sufficient conditions for the absolute stability of a certain multi-rate ...
. We describe the structure of the nonlinear system for the coefficients of diagonally implicit mult...
Abstract:- We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK)...
We describe the derivation of highly stable general linear methods for the numerical solution of ini...
Abstract—We describe the derivation of highly stable general linear methods for the numerical soluti...
In this paper, fifth order A(α)-stable numerical integrators for the direct solution to third order ...
In the numerical solution of partial differential equations using a method-of-lines approach, the av...
AbstractWe describe the structure of the nonlinear system for the coefficients of diagonally implici...
In the paper [1], we introduced a multistep method for solving the initial value problem : y' = f(x,...
AbstractThe stability regions of linear multistep methods for pure delay equations are compared with...
We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK)method whic...
Recently, Chawla et al. [1] have obtained a one-parameter family of double-stride L-stable methods o...
ABSTRACT. In this paper, the results of the first detailed and systematic study of the family of fif...
. We describe the construction of diagonally implicit multistage integration methods of order and st...
This paper deals with the numerical solution of systems of differential equations with a stiff part ...
AbstractThis paper derives sufficient conditions for the absolute stability of a certain multi-rate ...
. We describe the structure of the nonlinear system for the coefficients of diagonally implicit mult...
Abstract:- We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK)...
We describe the derivation of highly stable general linear methods for the numerical solution of ini...
Abstract—We describe the derivation of highly stable general linear methods for the numerical soluti...
In this paper, fifth order A(α)-stable numerical integrators for the direct solution to third order ...
In the numerical solution of partial differential equations using a method-of-lines approach, the av...
AbstractWe describe the structure of the nonlinear system for the coefficients of diagonally implici...
In the paper [1], we introduced a multistep method for solving the initial value problem : y' = f(x,...
AbstractThe stability regions of linear multistep methods for pure delay equations are compared with...
We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK)method whic...
Recently, Chawla et al. [1] have obtained a one-parameter family of double-stride L-stable methods o...