AbstractGeneralized Hermite multistep methods for initial-value problems in ordinary differential equations are reviewed. Zero-stability of the correctors with variable stepsize is investigated. A special predictor-corrector scheme for multistep methods with offstep points is presented. A method of order 11 has been developed and is illustrated with numerical examples
AbstractThe α-type multistep methods have the form of Yn+kαnYn+k-1+(αn-1)Yn+k-2=hn+kΣi=0kβi,nfn+1 wh...
AbstractIn this paper, we introduce a family of Linear Multistep Methods used as Boundary Value Meth...
summary:The paper deals with some new methods for the numerical solution of initial value problems f...
AbstractGeneralized Hermite multistep methods for initial-value problems in ordinary differential eq...
AbstractIn this paper we derive new generalized multistep methods with variable stepsize for initial...
This paper considers the numerical solution of delay differential equations. The predictor–corrector...
For solving the initial value problem : y'=f(x,y), y(x_0)=y_0, stepsize=h, using the idea of quadrat...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
We describe the derivation of highly stable general linear methods for the numerical solution of ini...
A linear multistep method for solving fourth order initial value problems of ordinary differential e...
Abstract—We describe the derivation of highly stable general linear methods for the numerical soluti...
This article presents a new generalized algorithm for developing k-step (m+1)th derivative block met...
AbstractWe develop a variable-order, variable-step algorithm for solving second-order initial-value ...
Abstract. Variable-step variable-order 3-stage Hermite–Birkhoff (HB) meth-ods HB(p)3 of order p = 5 ...
When faced with the task of solving stiff problems, highly stable numerical methods are often needed...
AbstractThe α-type multistep methods have the form of Yn+kαnYn+k-1+(αn-1)Yn+k-2=hn+kΣi=0kβi,nfn+1 wh...
AbstractIn this paper, we introduce a family of Linear Multistep Methods used as Boundary Value Meth...
summary:The paper deals with some new methods for the numerical solution of initial value problems f...
AbstractGeneralized Hermite multistep methods for initial-value problems in ordinary differential eq...
AbstractIn this paper we derive new generalized multistep methods with variable stepsize for initial...
This paper considers the numerical solution of delay differential equations. The predictor–corrector...
For solving the initial value problem : y'=f(x,y), y(x_0)=y_0, stepsize=h, using the idea of quadrat...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
We describe the derivation of highly stable general linear methods for the numerical solution of ini...
A linear multistep method for solving fourth order initial value problems of ordinary differential e...
Abstract—We describe the derivation of highly stable general linear methods for the numerical soluti...
This article presents a new generalized algorithm for developing k-step (m+1)th derivative block met...
AbstractWe develop a variable-order, variable-step algorithm for solving second-order initial-value ...
Abstract. Variable-step variable-order 3-stage Hermite–Birkhoff (HB) meth-ods HB(p)3 of order p = 5 ...
When faced with the task of solving stiff problems, highly stable numerical methods are often needed...
AbstractThe α-type multistep methods have the form of Yn+kαnYn+k-1+(αn-1)Yn+k-2=hn+kΣi=0kβi,nfn+1 wh...
AbstractIn this paper, we introduce a family of Linear Multistep Methods used as Boundary Value Meth...
summary:The paper deals with some new methods for the numerical solution of initial value problems f...
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