Add to ORKGThis paper revisits the use of the Taylor series method for the numerical integration of ODEs and DAEs. The numerical method is implemented using an efficient variable-step variable-order scheme. Several numerical tests comparing with well-established numerical codes are presented
Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used f...
The authors have developed a Taylor series method for solving numerically an initial-value problem d...
Abstract. Interval methods for verified integration of initial value problems (IVPs) for ODEs have b...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
AbstractThis paper presents an analysis of the Taylor method for the numerical solution of ODEs when...
In this paper we introduce a new class of numerical methods for integrating ODE initial value proble...
This article deals with a high order integration method based on the Taylor series. The paper shows ...
The authors have developed a Taylor series method for solving numerically an initial-value problem d...
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value pro...
This paper is one of a series underpinning the authors ’ DAETS code for solving DAE initial value pr...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
The recently developed new algorithm for computing consistent initial values and Taylor coefficients...
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
Ordinary differential equations (ODEs), and the systems of such equations, are used for describing m...
AbstractTaylor series methods compute a solution to an initial value problem in ordinary differentia...
Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used f...
The authors have developed a Taylor series method for solving numerically an initial-value problem d...
Abstract. Interval methods for verified integration of initial value problems (IVPs) for ODEs have b...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
AbstractThis paper presents an analysis of the Taylor method for the numerical solution of ODEs when...
In this paper we introduce a new class of numerical methods for integrating ODE initial value proble...
This article deals with a high order integration method based on the Taylor series. The paper shows ...
The authors have developed a Taylor series method for solving numerically an initial-value problem d...
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value pro...
This paper is one of a series underpinning the authors ’ DAETS code for solving DAE initial value pr...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
The recently developed new algorithm for computing consistent initial values and Taylor coefficients...
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
Ordinary differential equations (ODEs), and the systems of such equations, are used for describing m...
AbstractTaylor series methods compute a solution to an initial value problem in ordinary differentia...
Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used f...
The authors have developed a Taylor series method for solving numerically an initial-value problem d...
Abstract. Interval methods for verified integration of initial value problems (IVPs) for ODEs have b...